UNIVERSAL EVOLUTION TO EQUIPARTITION IN OSCILLATOR CHAINS

Authors
DELUCA J LICHTENBERG AJ RUFFO S
Citation
J. Deluca et al., UNIVERSAL EVOLUTION TO EQUIPARTITION IN OSCILLATOR CHAINS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2329-2333
Citations number
19
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
54
Issue
3
Year of publication
1996
Pages
2329 - 2333
Database
ISI
SICI code
1063-651X(1996)54:3<2329:UETEIO>2.0.ZU;2-Y
Abstract
We determine a universal evolution and time scale T to equipartition i n a one-dimensional lattice of N masses coupled by quartic nonlinear ( hard) springs. We consider chains made of two types of masses randomly distributed, and of random masses between limiting values. The initia l energy is put in a low-frequency mode of mode number gamma. T is fou nd to be inversely proportional to the initial beat frequency between mode gamma and the neighboring modes. It is also proportional to a fac tor N In(N)/N-c(1/2) where N-c is a measure of the modes quartically c oupled to mode gamma.