STATISTICAL-MECHANICS OF FERMI-PASTA-ULAM CHAINS WITH THE CANONICAL ENSEMBLE

Authors
DEMIREL MC SAYAR M ATILGAN AR
Citation
Mc. Demirel et al., STATISTICAL-MECHANICS OF FERMI-PASTA-ULAM CHAINS WITH THE CANONICAL ENSEMBLE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 3727-3730
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
B
Pages
3727 - 3730
Database
ISI
SICI code
1063-651X(1997)55:3<3727:SOFCWT>2.0.ZU;2-P
Abstract
Low-energy vibrations of a Fermi-Pasta-Ulam-beta (FPU-beta) chain with 16 repeat units are analyzed with the aid of numerical experiments an d the statistical mechanics equations of the canonical ensemble. Const ant temperature numerical integrations are performed by employing the cubic coupling scheme of Kusnezov et al. [Ann. Phys. 204, 155 (1990)]. Very good agreement is obtained between numerical results and theoret ical predictions for the probability distributions of the generalized coordinates and momenta both of the chain and of the thermal bath. It is also shown that the average energy of the chain scales linearly wit h the bath temperature.