Now showing items 1-10 of 31
Demonstration of the stability or instability of multibreathers at low coupling [Article]
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...
Breathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction [Article]
We consider an infinite chain of particles linearly coupled to their nearest neighbors and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous, i.e. coupling constants, particle masses and ...
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics [Book]
(NoLineal 2016Juan F.R. Archilla, 2016-06-07)
Hysteresis in vibrated granular media [Article]
Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The ...
Thermal equilibrium in Einstein’s elevator [Article]
(American Physical Society, 2013)
We report fully relativistic molecular-dynamics simulations that verify the appearance of thermal equilibrium of a classical gas inside a uniformly accelerated container. The numerical experiments confirm that the local ...
Simple model with facilitated dynamics for granular compaction [Article]
(American Physical Society, 1999)
A simple lattice model is used to study compaction in granular media. As in real experiments, we consider a series of taps separated by large enough waiting times. The relaxation of the density exhibits the characteristic ...
Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions [Presentation]
So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. However, none of them have considered both kinds of interactions. When both interactions are taken ...
Analytical approach to soliton ratchets in asymmetric potentials [Article]
We use soliton perturbation theory and collective coordinate ansatz to investigate the mechanism of soliton ratchets in a driven and damped asymmetric double sine-Gordon equation. We show that, at the second order of the ...
Ratchet effect in solids: Defect transport driven by biharmonic forces [Presentation]
Interstitials and vacancies, in one-dimensional lattices, are point defects that can be modelled by means of kinks or antikinks in a discrete Frenkel-Kontorova model, with a sine-Gordon on-site potential. The properties ...
Bright and dark breathers in Fermi-Pasta-Ulam lattices [Article]
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. ...