Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Probability distributions of local Liapunov exponents for small clusters

Journal Article · · Physical Review Letters; (United States)
;  [1]
  1. The James Franck Institute and Department of Chemistry, The University of Chicago, 5735 South Ellis Avenue, Chicago, Illinois 60637 (United States)
+ Show Author Affiliations

The probability distribution of the largest local Liapunov exponent is evaluated for a classical Ar{sub 3} cluster at different values of the internal energy {ital E}, for a set of increasing values of the length in which the trajectory is partitioned. These distributions can be directly related to the evolution of ergodic behavior, particularly to how it exhibits distinctive, separable time scales which depend strongly on the energy of the system. Therefore, even though the inequivalence of ergodicity and chaos prohibits a Liapunov exponent itself from being a quantitative index of ergodicity, we find that 2 the sample distributions used to evaluate Liapunov exponents nevertheless can be used for this purpose.

DOE Contract Number:
FG02-86ER13488
OSTI ID:
7047405
Journal Information:
Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 68:6; ISSN PRLTA; ISSN 0031-9007
Country of Publication:
United States
Language:
English

Similar Records

Probability distributions of local Lyapunov exponents for Hamiltonian systems
Journal Article · Sat May 01 00:00:00 EDT 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) · OSTI ID:6521162
Liapunov exponents in high-dimensional symplectic dynamics
Journal Article · Wed Dec 31 23:00:00 EST 1986 · J. Stat. Phys.; (United States) · OSTI ID:6459374
Scaling laws for all Liapunov exponents: Models and measurements
Journal Article · Fri Jul 01 00:00:00 EDT 1988 · Journal of Statistical Physics; (USA) · OSTI ID:5504525

Related Subjects

664100 -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
665000* -- Physics of Condensed Matter-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CLUSTER MODEL
ERGODIC HYPOTHESIS
HYPOTHESIS
LENNARD-JONES POTENTIAL
LYAPUNOV METHOD
MATHEMATICAL MODELS
MATHEMATICS
MOLECULES
NUCLEAR MODELS
NUMERICAL ANALYSIS
POTENTIALS
TEMPERATURE DEPENDENCE
TIME DEPENDENCE