19 citations · 51 across the 12 of their papers we have counts for
12 papers
Soliton dynamics in the ABS nonlinear spinor model with external fields
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We consider the novel nonlinear model in (1 + 1)-dimensions for Dirac spinors recently introduced by Alexeeva, Barashenkov, and Saxena [1] (ABS model), which admits an exact explic…
Stability of parametrically driven, damped nonlinear Dirac solitons
Bernardo Sánchez-Rey, David Mellado-Alcedo, Niurka R. Quintero
The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolutio…
Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
Franz G. Mertens, Bernardo Sánchez-Rey, Niurka R. Quintero
We investigate the effects on solitons dynamics of introducing a PT-symmetric complex potential in a specific family of the cubic Dirac equation in (1+1)-dimensions, called the ABS…
Kinetic glass transition in granular gases and non-linear molecular fluids
A. Patrón, B. Sánchez-Rey, A. Prados
In this paper we investigate, both analytically and numerically, the emergence of a kinetic glass transition in two different model systems: a uniformly heated granular gas and a m…
Linear response in the uniformly heated granular gas
B. Sánchez-Rey, A. Prados
We analyse the linear response properties of the uniformly heated granular gas. The intensity of the stochastic driving fixes the value of the granular temperature in the non-equil…
Collective Coordinates Theory for Discrete Soliton Ratchets in the sine-Gordon Model
B. Sánchez-Rey, N. R. Quintero, J. Cuevas-Maraver +1
A collective coordinate theory is develop for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, nam…
Thermal equilibrium in Einstein's elevator
Bernardo Sánchez-Rey, Guillermo Chacón-Acosta, Leonardo Dagdug +1
We report fully relativistic molecular-dynamics simulations that verify the appearance of thermal equilibrium of a classical gas inside a uniformly accelerated container. The numer…
Breathers in inhomogeneous nonlinear lattices: an analysis via centre manifold reduction
Guillaume James, Bernardo Sanchez-Rey, Jesus Cuevas
We consider an infinite chain of particles linearly coupled to their nearest neighbours and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous. We…
Classical and quantum nonlinear localized excitations in discrete systems
F. R. Romero, J. F. R. Archilla, F. Palmero +4
Discrete breathers, or intrinsic localized modes, are spatially localized, time--periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units.…
Analytical approach to soliton ratchets in asymmetric potentials
Niurka R. Quintero, Bernardo Sánchez-Rey, Mario Salerno
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.…
Breathers in FPU systems, near and far from the phonon band
B. Sanchez-Rey, J. F. R. Archilla, G. James +1
There exists a recent mathematical proof on the existence of small amplitude breathers in FPU systems near the phonon band, which includes a prediction of their amplitude and width…
Breathers in a system with helicity and dipole interaction
B. Sanchez-Rey, J. F. R. Archilla, F. Palmero +1
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds bet…