Now showing items 1-20 of 28

    • IconAging in the one-dimensional Ising model with Glauber dynamics  [Article]

      Prados Montaño, Antonio; Brey Abalo, José Javier; Sánchez-Rey, Bernardo (IOP Publishing Ltd., 1997-10-01)
      We study the zero-temperature limit of the one-dimensional Ising model with nearest-neighbor interactions and Glauber dynamics. An exact evolution equation is derived for the spin-spin two-time correlation functions following ...
    • IconAnalytical approach to soliton ratchets in asymmetric potentials  [Article]

      Quintero, Niurka R.; Sánchez-Rey, Bernardo; Salerno, Mario (2005)
      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 ...
    • IconApproximation of solitons in the discrete NLS equation  [Article]

      Cuevas-Maraver, Jesús; James, Guillaume; Kevrekidis, Panayotis G.; Malomed, Boris A.; Sánchez-Rey, Bernardo (World Scientific, 2008)
      We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational ...
    • IconBook of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics  [Book]

      Palmero, Faustino; Carmona, Victoriano; Casado-Pascual, Jesús; Cuevas-Maraver, Jesús; Fernández-Sánchez, Fernando; García Medina, Elisabeth; Lemos, M. Carmen; Quintero, Niurka R.; Sánchez-Rey, Bernardo; J.F.R. Archilla; Universidad de Sevilla. Departamento de Física Aplicada I (NoLineal 2016Juan F.R. Archilla, 2016-06-07)
    • IconBreathers for the discrete nonlinear Schrödinger equation with nonlinear hopping  [Article]

      Karachalios, Nikolaos I.; Sánchez-Rey, Bernardo; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús (2013)
      We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower ...
    • IconBreathers in a system with helicity and dipole interaction  [Article]

      Sánchez-Rey, Bernardo; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Romero Romero, Francisco (American Physical Society, 2002)
      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 between base pairs. In these models the ...
    • IconBreathers in FPU systems, near and far from the phonon band  [Presentation]

      Sánchez-Rey, Bernardo; Archilla, Juan F. R.; James, Guillaume; Cuevas-Maraver, Jesús (World Scientific, 2003)
    • IconBreathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction  [Article]

      James, Guillaume; Sánchez-Rey, Bernardo; Cuevas-Maraver, Jesús (2009)
      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 ...
    • IconBright and dark breathers in Fermi-Pasta-Ulam lattices  [Article]

      Sánchez-Rey, Bernardo; James, Guillaume; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (2004)
      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. ...
    • IconClassical and quantum nonlinear localized excitations in discrete systems  [Chapter of Book]

      Romero Romero, Francisco; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Sánchez-Rey, Bernardo; Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Romero Romero, José María (Transworld Research Network, 2005)
      Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the ...
    • IconCollective coordinates theory for discrete soliton ratchets in the sine-Gordon model  [Article]

      Sánchez-Rey, Bernardo; Quintero, Niurka R.; Cuevas-Maraver, Jesús; Alejo, Miguel A. (American Physical Society, 2014)
      A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, namely the center and the width of the ...
    • IconComment on “Soliton ratchets induced by excitation of internal modes”  [Article]

      Quintero, Niurka R.; Sánchez-Rey, Bernardo; Casado Pascual, Jesús (2005)
      Very recently Willis et al. [Phys. Rev. E 69, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac-driven, damped sine-Gordon equation. In this Comment, we ...
    • IconDemonstration of the stability or instability of multibreathers at low coupling  [Article]

      Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Sánchez-Rey, Bernardo; Romero Romero, Francisco (2003)
      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 ...
    • IconEscape dynamics in the discrete repulsive φ4 model  [Article]

      Achilleos, V. A.; Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Frantzeskakis, Dimitri J.; Karachalios, Nikolaos I.; Kevrekidis, Panayotis G.; Sánchez-Rey, Bernardo (2013)
      We study deterministic escape dynamics of the discrete Klein-Gordon model with a repulsive quartic on-site potential. Using a combination of analytical techniques, based on differential and algebraic inequalities and ...
    • IconExact numerical solutions for dark waves on the discrete nonlinear Schrödinger equation  [Article]

      Sánchez-Rey, Bernardo; Johansson, Magnus (American Physical Society, 2005)
      In this paper we study numerically existence and stability of exact dark waves on the (nonintegrable) discrete nonlinear Schrödinger equation for a finite one-dimensional lattice. These are solutions that bifurcate from ...
    • IconFenómenos dinámicos en modelos sencillos controlados por barreras entrópicas  [Doctoral Thesis]

      Sánchez-Rey, Bernardo (1997)
      La organización de esta Memoria es la siguiente. En el Capítulo 2 presentamos una revisión somera de las principales propiedades que se utilizan para caracterizar un vidrio estructural a nivel macroscópico. Asimismo ...
    • IconGlassy behavior in a simple model with entropy barriers  [Article]

      Prados Montaño, Antonio; Brey Abalo, Javier; Sánchez-Rey, Bernardo (American Physical Society, 1997)
      We study the dynamical behavior of a system with a variable number of particles n. The empty state n=0 is the ground state, while all the other states n>0 are degenerate in energy. In equilibrium, the mean number of particles ...
    • IconHysteresis in vibrated granular media  [Article]

      Prados Montaño, Antonio; Brey Abalo, José Javier; Sánchez-Rey, Bernardo (Elsevier, 2000)
      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 ...
    • IconInteraction of moving discrete breathers with interstitial defects  [Article]

      Cuevas-Maraver, Jesús; Sánchez-Rey, Bernardo; Eilbeck, J. Chris; Russell, F. Michael (American Institute of Mathematical Sciences, 2011)
      In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a Frenkel-Kontorova onedimensional lattice. Consistent with experimental results it is shown that interstitial ...
    • IconInteraction of moving discrete breathers with vacancies  [Article]

      Cuevas-Maraver, Jesús; Archilla, Juan F. R.; Sánchez-Rey, Bernardo; Romero Romero, Francisco (2006)
      In this paper a Frenkel–Kontorova model with a nonlinear int eraction potential is used to describe a vacancy defect in a crystal. According t o recent numerical results [Cuevas et al . Phys. Lett. A 315, 364 (2003)] ...