# A melhor ferramenta para a sua pesquisa, trabalho e TCC!

Página 1 dos resultados de 3795 itens digitais encontrados em 0.036 segundos

## Agent based models and opinion dynamics as Markov chains

Fonte: ISEG - Departamento de Economia
Publicador: ISEG - Departamento de Economia

Tipo: Outros

Publicado em //2012
Português

Relevância na Pesquisa

47.07345%

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how the corresponding macro description is
obtained by a projection construction. Then, well known conditions for lumpability make it possible to establish the cases where the macro model is stillMarkov. In this case we obtain a complete picture of the dynamics including the transient stage, the most interesting phase in applications. For such
a purpose a crucial role is played by the type of probability distribution used to implement the stochastic part of the model which defines the updating rule and governs the dynamics. In addition, we show how restrictions in communication leading to the co–existence of different opinions follow
from the emergence of new absorbing states. We describe our analysis in detail with some specific models of opinion dynamics. Generalizations concerning different opinion representations as well as opinion models with other interaction mechanisms are also discussed. We find that our method may be an attractive alternative to mean–field approaches and that this approach provides new perspectives on the modeling of opinion exchange dynamics...

Link permanente para citações:

## Transient dynamics and food-web complexity in the Lotka-Volterra cascade model.

Fonte: PubMed
Publicador: PubMed

Tipo: Artigo de Revista Científica

Publicado em 22/04/2001
Português

Relevância na Pesquisa

47.13096%

How does the long-term behaviour near equilibrium of model food webs correlate with their short-term transient dynamics? Here, simulations of the Lotka -Volterra cascade model of food webs provide the first evidence to answer this question. Transient behaviour is measured by resilience, reactivity, the maximum amplification of a perturbation and the time at which the maximum amplification occurs. Model food webs with a higher probability of local asymptotic stability may be less resilient and may have a larger transient growth of perturbations. Given a fixed connectance, the sizes and durations of transient responses to perturbations increase with the number of species. Given a fixed number of species, as connectance increases, the sizes and durations of transient responses to perturbations may increase or decrease depending on the type of link that is varied. Reactivity is more sensitive to changes in the number of donor-controlled links than to changes in the number of recipient-controlled links, while resilience is more sensitive to changes in the number of recipient-controlled links than to changes in the number of donor-controlled links. Transient behaviour is likely to be one of the important factors affecting the persistence of ecological communities.

Link permanente para citações:

## Transient Dynamics of Genetic Regulatory Networks

Fonte: Biophysical Society
Publicador: Biophysical Society

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.12562%

We present an approximation scheme for deriving reaction rate equations of genetic regulatory networks. This scheme predicts the timescales of transient dynamics of such networks more accurately than does standard quasi-steady state analysis by introducing prefactors to the ODEs that govern the dynamics of the protein concentrations. These prefactors render the ODE systems slower than their quasi-steady state approximation counterparts. We introduce the method by examining a positive feedback gene regulatory network, and show how the transient dynamics of this network are more accurately modeled when the prefactor is included. Next, we examine the repressilator, a genetic oscillator, and show that the period, amplitude, and bifurcation diagram defining the onset of the oscillations are better estimated by the prefactor method. Finally, we examine the consequences of the method to the dynamics of reduced models of the phage lambda switch, and show that the switching times between the two states is slowed by the presence of the prefactor that arises from protein multimerization and DNA binding.

Link permanente para citações:

## Transient dynamics of an elastic capsule in a microfluidic constriction

Fonte: PubMed
Publicador: PubMed

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.16919%

In this paper we investigate computationally the transient dynamics of an elastic capsule flowing in a square microchannel with a rectangular constriction, and compare it with that of a droplet. The confinement and expansion dynamics of the fluid flow results in a rich deformation behavior for the capsule, from an elongated shape at the constriction entrance, to a flattened parachute shape at its exit. Larger capsules are shown to take more time to pass the constriction and cause higher additional pressure difference, owing to higher flow blocking. Our work highlights the effects of two different mechanisms for non-tank-treading transient capsule dynamics. The capsule deformation results from the combined effects of the surrounding and inner fluids’ normal stresses on the soft particle’s interface, and thus when the capsule viscosity increases, its transient deformation decreases, as for droplets. However, the capsule deformation is not able to create a strong enough inner circulation (owing to restrictions imposed by the material membrane), and thus the viscosity ratio does not affect much the capsule velocity and the additional pressure difference. In addition, the weak inner circulation results in a positive additional pressure difference ΔP+ even for low-viscosity capsules...

Link permanente para citações:

## Bounds on transient instability for complex ecosystems

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 23/06/2015
Português

Relevância na Pesquisa

47.27415%

#Quantitative Biology - Populations and Evolution#Nonlinear Sciences - Adaptation and Self-Organizing Systems#Nonlinear Sciences - Chaotic Dynamics

Stability is a desirable property of complex ecosystems. If a community of
interacting species is at a stable equilibrium point then it is able to
withstand small perturbations without any adverse effect. In ecology, the
Jacobian matrix evalufated at an equilibrium point is known as the community
matrix, which represents the population dynamics of interacting species. The
system's asymptotic short- and long-term behaviour can be determined from
eigenvalues derived from the community matrix. Here we use results from the
theory of pseudospectra to describe intermediate, transient dynamics. We show
that the transition from stable to unstable dynamics includes a region of
transient instability, where the effect of a small perturbation is amplified
before ultimately decaying. The shift from stability to transient instability
depends on the magnitude of a perturbation, and we show how to determine lower
and upper bounds to the maximum amplitude of perturbations. Of five different
types of community matrix, we find that amplification is least severe with
predator-prey interactions. This analysis is relevant to other systems whose
dynamics can be expressed in terms of the Jacobian matrix. Through
understanding transient instability, we can learn under what conditions
multiple perturbations - multiple external shocks - will irrecoverably break
stability.; Comment: 6 pages...

Link permanente para citações:

## Photoassociation and coherent transient dynamics in the interaction of ultracold rubidium atoms with shaped femtosecond pulses - I. Experiment

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.01425%

We experimentally investigate various processes present in the
photoassociative interaction of an ultracold atomic sample with shaped
femtosecond laser pulses. We demonstrate the photoassociation of pairs of
rubidium atoms into electronically excited, bound molecular states using
spectrally cut femtosecond laser pulses tuned below the rubidium D1 or D2
asymptote. Time-resolved pump-probe spectra reveal coherent oscillations of the
molecular formation rate, which are due to coherent transient dynamics in the
electronic excitation. The oscillation frequency corresponds to the detun-ing
of the spectral cut position to the asymptotic transition frequency of the
rubidium D1 or D2 lines, respectively. Measurements of the molecular
photoassociation signal as a function of the pulse energy reveal a non-linear
dependence and indicate a non-perturbative excitation process. Chirping the
association laser pulse allowed us to change the phase of the coherent
transients. Furthermore, a signature for molecules in the electronic ground
state is found, which is attributed to molecule formation by femtosecond
photoassociation followed by spontaneous decay. In a subsequent article [A.
Merli et al., submitted] quantum mechanical calculations are presented...

Link permanente para citações:

## Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.080645%

This work explores a fundamental dynamical structure for a wide range of
many-body quantum systems under periodic driving. Generically, in the
thermodynamic limit, such systems are known to heat up to infinite temperature
states after infinite-time evolution, irrespective of dynamical details. In the
present study, instead of considering infinitely long-time scale, we aim to
provide a framework to understand the long but finite time behavior, namely the
transient dynamics. In the analysis, we focus on the Floquet-Magnus (FM)
expansion that gives a formal expression of the effective Hamiltonian on the
system. Although in general the full series expansion is not convergent in the
thermodynamics limit, we give a clear relationship between the FM expansion and
the transient dynamics. More precisely, we rigorously show that a truncated
version of the FM expansion accurately describes the exact dynamics for a
finite-time scale. Our result reveals a reliable time scale of the validity of
the FM expansion, which can be comparable to the experimental time scale.
Furthermore, we discuss several dynamical phenomena, such as the effect of
small integrability breaking, efficient numerical simulation of periodically
driven systems, dynamical localization and thermalization. Especially on
thermalization...

Link permanente para citações:

## Transient Dynamics of d-wave Superconductors after a Sudden Excitation

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

46.93676%

Motivated by recent ultafast pump probe experiments on high-temperature
superconductors, we discuss the transient dynamics of a d-wave BCS model after
a quantum quench of the interaction parameter. We find that the existence of
gap nodes, with the associated nodal quasiparticles, introduces a dissipation
channel which makes the dynamics much faster than in the conventional s-wave
model. For every value of the quench parameters, the superconducting gap
rapidly converges to a stationary value smaller than the one at equilibrium.
Using a sudden approximation for the gap dynamics, we find an analytical
expression for the reduction of spectral weight close to the nodes, which is in
qualitative agreement with recent experiments.; Comment: 5 pages, 2 figures plus Supplementary Materials. Accepted in Phys.
Rev. Lett

Link permanente para citações:

## Transient dynamics of a colloidal particle driven through a viscoelastic fluid

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.05489%

We experimentally study the transient motion of a colloidal particle actively
dragged by an optical trap through different viscoelastic fluids (wormlike
micelles, polymer solutions, and entangled $\lambda$-phage DNA). We observe
that, after sudden removal of the moving trap, the particle recoils due to the
recovery of the deformed fluid microstructure. We find that the transient
dynamics of the particle proceeds via a double exponential relaxation, whose
relaxation times remain independent of the initial particle velocity whereas
their amplitudes strongly depend on it. While the fastest relaxation mirrors
the viscous damping of the particle by the solvent, the slow relaxation results
from the recovery of the strained viscoelastic matrix. We show that this
transient information, which has no counterpart in Newtonian fluids, can be
exploited to investigate linear and nonlinear rheological properties of the
embedding fluid, thus providing a novel method to perform transient rheology at
the micron-scale.; Comment: 19 pages, 7 Figures, submitted to New Journal of Physics

Link permanente para citações:

## Recursive dynamic mode decomposition of a transient cylinder wake

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 21/11/2015
Português

Relevância na Pesquisa

46.906357%

A novel data-driven modal decomposition of fluid flow is proposed comprising
key features of POD and DMD. The first mode is the normalized real or imaginary
part of the DMD mode which minimizes the time-averaged residual. The N-th mode
is defined recursively in an analogous manner based on the residual of an
expansion using the first N-1 modes. The resulting recursive DMD (RDMD) modes
are orthogonal by construction, retain pure frequency content and aim at low
residual. RDMD is applied to transient cylinder wake data and is benchmarked
against POD and optimized DMD (Chen et al. 2012) for the same snapshot
sequence. Unlike POD modes, RDMD structures are shown to have pure frequency
content while retaining a residual of comparable order as POD. In contrast to
DMD with exponentially growing or decaying oscillatory amplitudes, RDMD clearly
identifies initial, maximum and final fluctuation levels. Intriguingly, RDMD
outperforms both POD and DMD in the limit cycle resolution from the same
snaphots. RDMD is proposed as an attractive alternative to POD and DMD for
empirical Galerkin models, with nonlinear transient dynamics as a niche
application.; Comment: 18 pages, 10 figures, 1 table

Link permanente para citações:

## From Equilibrium to Steady State: The Transient Dynamics of Colloidal Liquids under Shear

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 24/07/2008
Português

Relevância na Pesquisa

47.01425%

We investigate stresses and particle motion during the start up of flow in a
colloidal dispersion close to arrest into a glassy state. A combination of
molecular dynamics simulation, mode coupling theory and confocal microscopy
experiment is used to investigate the origins of the widely observed stress
overshoot and (previously not reported) super-diffusive motion in the transient
dynamics. A link between the macro-rheological stress versus strain curves and
the microscopic particle motion is established. Negative correlations in the
transient auto-correlation function of the potential stresses are found
responsible for both phenomena, and arise even for homogeneous flows and almost
Gaussian particle displacements.; Comment: 24 pages, 14 figures, J. Phys.: Condens. Matter, in press

Link permanente para citações:

## Transient dynamics of the Anderson impurity model out of equilibrium

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

46.906357%

We discuss the transient effects in the Anderson impurity model that occur
when two fermionic continua with finite bandwidths are instantaneously coupled
to a central level. We present results for the analytically solvable
noninteracting resonant level system first and then consistently extend them to
the interacting case using the conventional perturbation theory and recently
developed nonequilibrium Monte Carlo simulation schemes. The main goal is to
gain an understanding of the full time-dependent nonlinear current-voltage
characteristics and the population probability of the central level. We find
that, contrary to the steady state, the transient dynamics of the system
depends sensitively on the bandwidth of the electrode material.; Comment: 10 pages, 5 figures, submitted to PRB

Link permanente para citações:

## Time-dependent Landauer-B\"uttiker formula: application to transient dynamics in graphene nanoribbons

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

47.1028%

In this work we develop a time-dependent extension of the Landauer-B\"uttiker
approach to study transient dynamics in time-dependent quantum transport
through molecular junctions. A key feature of the approach is that it provides
a closed integral expression for the time-dependence of the density matrix of
the molecular junction after switch-on of a bias or gate potential which can be
evaluated without the necessity of propagating individual single-particle
orbitals. This allows for the study of time-dependent transport in large
molecular systems coupled to wide band leads. As an application of the
formalism we study the transient dynamics of zigzag and armchair graphene
nanoribbons of different symmetries. We find that the transient times can
exceed several hundreds of femtoseconds while displaying a long time
oscillatory motion related to multiple reflections of the density wave in the
nanoribbons at the ribbon--lead interface. This temporal profile has a shape
that scales with the length of the ribbons and is modulated by fast
oscillations described by intra-ribbon and ribbon--lead transitions. Especially
in the armchair nanoribbons there exists a sequence of quasi-stationary states
related to reflections at the edge state located at the ribbon--lead interface.
In the case of zigzag nanoribbons there is a predominant oscillation frequency
associated with virtual transitions between the edge states and the Fermi
levels of the electrode. We further study the local bond currents in the
nanoribbons and find that the parity of the edges strongly affects the path of
the electrons in the nanoribbons. We finally study the behavior of the
transients for various added gate potentials.; Comment: 14 pages...

Link permanente para citações:

## A study of transient dynamics of perturbations in Keplerian discs using a variational approach

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 06/05/2014
Português

Relevância na Pesquisa

57.1028%

#Astrophysics - High Energy Astrophysical Phenomena#Astrophysics - Earth and Planetary Astrophysics#Astrophysics - Solar and Stellar Astrophysics#Physics - Fluid Dynamics

We study linear transient dynamics in a thin Keplerian disc employing a
method based on variational formulation of optimisation problem. It is shown
that in a shearing sheet approximation due to a prominent excitation of density
waves by vortices the most rapidly growing shearing harmonic has azimuthal
wavelength, $\lambda_y$, of order of the disc thickness, $H$, and its initial
shape is always nearly identical to a vortex having the same potential
vorticity. Also, in the limit $\lambda_y\gg H$ the optimal growth $G\propto
(\Omega/\kappa)^4$, where $\Omega$ and $\kappa$ stand for local rotational and
epicyclic frequencies, respectively, what suggests that transient growth of
large scale vortices can be much stronger in areas with non-Keplerian rotation,
e.g. in the inner parts of relativistic discs around the black holes. We
estimate that if disc is already in a turbulent state with effective viscosity
given by the Shakura parameter $\alpha<1$, the considered large scale vortices
with wavelengths $H/\alpha>\lambda_y>H$ have the most favourable conditions to
be transiently amplified before they are damped. At the same time, turbulence
is a natural source of the potential vorticity for this transient activity. We
extend our study to a global spatial scale showing that global perturbations
with azimuthal wavelengths more than an order of magnitude greater than the
disc thickness still are able to attain the growth of dozens of times in a few
Keplerian periods at the inner boundary of disc.; Comment: 21 pages...

Link permanente para citações:

## Transient dynamics for sequence processing neural networks

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 25/02/2002
Português

Relevância na Pesquisa

47.16919%

#Condensed Matter - Disordered Systems and Neural Networks#Condensed Matter - Statistical Mechanics#Quantitative Biology

An exact solution of the transient dynamics for a sequential associative
memory model is discussed through both the path-integral method and the
statistical neurodynamics. Although the path-integral method has the ability to
give an exact solution of the transient dynamics, only stationary properties
have been discussed for the sequential associative memory. We have succeeded in
deriving an exact macroscopic description of the transient dynamics by
analyzing the correlation of crosstalk noise. Surprisingly, the order parameter
equations of this exact solution are completely equivalent to those of the
statistical neurodynamics, which is an approximation theory that assumes
crosstalk noise to obey the Gaussian distribution. In order to examine our
theoretical findings, we numerically obtain cumulants of the crosstalk noise.
We verify that the third- and fourth-order cumulants are equal to zero, and
that the crosstalk noise is normally distributed even in the non-retrieval
case. We show that the results obtained by our theory agree with those obtained
by computer simulations. We have also found that the macroscopic unstable state
completely coincides with the separatrix.; Comment: 21 pages, 4 figures

Link permanente para citações:

## Doubly Transient Chaos: The Generic Form of Chaos in Autonomous Dissipative Systems

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 15/10/2013
Português

Relevância na Pesquisa

46.9949%

#Nonlinear Sciences - Chaotic Dynamics#Mathematics - Dynamical Systems#Nonlinear Sciences - Adaptation and Self-Organizing Systems#Physics - Classical Physics

Chaos is an inherently dynamical phenomenon traditionally studied for
trajectories that are either permanently erratic or transiently influenced by
permanently erratic ones lying on a set of measure zero. The latter gives rise
to the final state sensitivity observed in connection with fractal basin
boundaries in conservative scattering systems and driven dissipative systems.
Here we focus on the most prevalent case of undriven dissipative systems, whose
transient dynamics fall outside the scope of previous studies since no
time-dependent solutions can exist for asymptotically long times. We show that
such systems can exhibit positive finite-time Lyapunov exponents and
fractal-like basin boundaries which nevertheless have codimension one. In sharp
contrast with its driven and conservative counterparts, the settling rate to
the (fixed-point) attractors grows exponentially in time, meaning that the
fraction of trajectories away from the attractors decays super-exponentially.
While no invariant chaotic sets exist in such cases, the irregular behavior is
governed by transient interactions with transient chaotic saddles, which act as
effective, time-varying chaotic sets.; Comment: To appear in Physical Review Letters

Link permanente para citações:

## Transient dynamics of an adiabatic NEMS

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 11/09/2015
Português

Relevância na Pesquisa

47.229175%

This paper is focused on the transient dynamics of an adiabatic
nano-electromechanical system (NEMS), consisting of a nano-mechanical
oscillator coupled to a quantum dot. By numerically solving the nonlinear
stochastic differential equation governing the oscillator, the time evolution
of the oscillator position, of the dot occupation number and of the current are
studied. Different parameter settings are studied where the system exhibits
bi-stable, tri-stable or mono-stable behavior on a finite-time horizon. It is
shown that, after a typically long transient, the system under investigation
exhibits no hysteretic behavior and that a unique steady state is reached,
independently of the initial conditions. The transient dynamics is marked out
by one or two well separated characteristic times, depending on the considered
case (i.e., mono- or multi-stable). We evaluate these times for a dot
on-resonance or off-resonance. It turns out that the characteristic time scales
are long in comparison to the period of the uncoupled oscillator, particularly
at low bias, suggesting that the predicted transient dynamics may be observed
in state-of-the-art experimental setups.; Comment: 14 pages, 10 color figures

Link permanente para citações:

## Transient Dynamics of Elastic Hele-Shaw Cell Due to External Forces with Application to Impulse Mitigation

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Publicado em 02/12/2015
Português

Relevância na Pesquisa

56.87036%

We study the transient dynamics of a viscous liquid contained in a narrow gap
between a rigid surface and a parallel elastic plate. The elastic plate is
deformed due to an externally applied time-varying pressure-field. We model the
flow-field via the lubrication approximation, and the plate deformation by the
Kirchhoff-Love plate theory. We obtain a self-similarity solution for the case
of an external point force acting on the elastic plate. The pressure and
deformation field during and after the application of the external force are
derived and presented by closed form expressions. We examine a uniform external
pressure acting on the elastic plate over a finite region and during a finite
time period, similar to the viscous-elastic interaction time-scale. The
interaction between elasticity and viscosity is shown to reduce by order of
magnitude the pressure within the Hele-Shaw cell compared with the externally
applied pressure, thus suggesting such configurations may be used for impact
mitigation.

Link permanente para citações:

## On the Diversity of Non-Linear Transient Dynamics in Several Types of Complex Networks

Fonte: Universidade Cornell
Publicador: Universidade Cornell

Tipo: Artigo de Revista Científica

Português

Relevância na Pesquisa

46.906357%

#Physics - Physics and Society#Condensed Matter - Disordered Systems and Neural Networks#Physics - Computational Physics

Dynamic systems characterized by diversified evolutions are not only more
flexible, but also more resilient to attacks, failures and changing conditions.
This article addresses the quantification of the diversity of non-linear
transient dynamics obtained in undirected and unweighted complex networks as a
consequence of self-avoiding random walks. The diversity of walks starting at a
specific node $i$ is quantified in terms of a signature composed by the
entropies of the node visit probabilities along each of the initial steps. Six
theoretical models of complex networks are considered: Erd\H{o}s-R\'enyi,
Barab\'asi-Albert, Watts-Strogatz, a geographical model, as well as two
recently introduced knitted networks formed by paths. The random walk diversity
is explored at the level of network categories and of individual nodes. Because
the diversity at successive steps of the walks tends to be correlated,
principal component analysis is systematically applied in order to identify the
more relevant linear combinations of the diversity entropies and to obtain
optimal dimensionality reduction. Several interesting results are reported,
including the facts that the transient diversity tends to increase with the
average degree for all considered network models and that the Watts and
Strogatz and geographical models tend to yield diversity entropies which
increase more gradually with the number of steps...

Link permanente para citações:

## Transient dynamics and structure of optimal excitations in thermocapillary spreading: Precursor film model

Fonte: Instituto de Tecnologia da Califórnia
Publicador: Instituto de Tecnologia da Califórnia

Tipo: Article; PeerReviewed
Formato: application/pdf

Publicado em /09/2006
Português

Relevância na Pesquisa

47.16278%

Linearized modal stability theory has shown that the thermocapillary spreading of a liquid film on a homogeneous, completely wetting surface can produce a rivulet instability at the advancing front due to formation of a capillary ridge. Mechanisms that drain fluid from the ridge can stabilize the flow against rivulet formation. Numerical predictions from this analysis for the film speed, shape, and most unstable wavelength agree remarkably well with experimental measurements even though the linearized disturbance operator is non-normal, which allows transient growth of perturbations. Our previous studies using a more generalized nonmodal stability analysis for contact lines models describing partially wetting liquids (i.e., either boundary slip or van der Waals interactions) have shown that the transient amplification is not sufficient to affect the predictions of eigenvalue analysis. In this work we complete examination of the various contact line models by studying the influence of an infinite and flat precursor film, which is the most commonly employed contact line model for completely wetting films. The maximum amplification of arbitrary disturbances and the optimal initial excitations that elicit the maximum growth over a specified time...

Link permanente para citações: