Energy relaxation in discrete nonlinear lattices

A. Bikaki, N. K. Voulgarakis, S. Aubry, G. P. Tsironis

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

We numerically investigate energy relaxation in discrete nonlinear lattices in one and two spatial dimensions. We find that energy relaxation follows a stretched exponential law, and we study its dependence on the initial temperature. We attribute this behavior to hierarchies of discrete breathers that relax with different time constants, leading to a hierarchy of relaxation time scales in the system. Using heuristic arguments, we derive a nonlinear diffusion equation for the local energy density of the oscillators that results in similar relaxation dynamics.

Original languageEnglish
Pages (from-to)1234-1237
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number1
Publication statusPublished - 1999
Externally publishedYes

Fingerprint

Nonlinear Lattice
hierarchies
Energy
Discrete Breathers
Nonlinear Diffusion Equation
Time Constant
Relaxation Time
Energy Density
time constant
energy
Time Scales
flux density
relaxation time
Attribute
oscillators
Heuristics
temperature
Hierarchy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Energy relaxation in discrete nonlinear lattices. / Bikaki, A.; Voulgarakis, N. K.; Aubry, S.; Tsironis, G. P.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 59, No. 1, 1999, p. 1234-1237.

Research output: Contribution to journalArticle

Bikaki, A. ; Voulgarakis, N. K. ; Aubry, S. ; Tsironis, G. P. / Energy relaxation in discrete nonlinear lattices. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1999 ; Vol. 59, No. 1. pp. 1234-1237.
@article{51fc9cd9be27448bb4c1011fc1a8758b,
title = "Energy relaxation in discrete nonlinear lattices",
abstract = "We numerically investigate energy relaxation in discrete nonlinear lattices in one and two spatial dimensions. We find that energy relaxation follows a stretched exponential law, and we study its dependence on the initial temperature. We attribute this behavior to hierarchies of discrete breathers that relax with different time constants, leading to a hierarchy of relaxation time scales in the system. Using heuristic arguments, we derive a nonlinear diffusion equation for the local energy density of the oscillators that results in similar relaxation dynamics.",
author = "A. Bikaki and Voulgarakis, {N. K.} and S. Aubry and Tsironis, {G. P.}",
year = "1999",
language = "English",
volume = "59",
pages = "1234--1237",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Energy relaxation in discrete nonlinear lattices

AU - Bikaki, A.

AU - Voulgarakis, N. K.

AU - Aubry, S.

AU - Tsironis, G. P.

PY - 1999

Y1 - 1999

N2 - We numerically investigate energy relaxation in discrete nonlinear lattices in one and two spatial dimensions. We find that energy relaxation follows a stretched exponential law, and we study its dependence on the initial temperature. We attribute this behavior to hierarchies of discrete breathers that relax with different time constants, leading to a hierarchy of relaxation time scales in the system. Using heuristic arguments, we derive a nonlinear diffusion equation for the local energy density of the oscillators that results in similar relaxation dynamics.

AB - We numerically investigate energy relaxation in discrete nonlinear lattices in one and two spatial dimensions. We find that energy relaxation follows a stretched exponential law, and we study its dependence on the initial temperature. We attribute this behavior to hierarchies of discrete breathers that relax with different time constants, leading to a hierarchy of relaxation time scales in the system. Using heuristic arguments, we derive a nonlinear diffusion equation for the local energy density of the oscillators that results in similar relaxation dynamics.

UR - http://www.scopus.com/inward/record.url?scp=0001003311&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001003311&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001003311

VL - 59

SP - 1234

EP - 1237

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 1

ER -