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
 

Macroscopic stochastic fluctuations in a one-dimensional mechanical system

Journal Article · · J. Stat. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01014889· OSTI ID:6313877
;
This paper concerns the long-time behavior of a one-dimensional mechanical system, hard rods with equal masses and lengths interacting by elastic collisions. We have noticed that for much longer times than those at which the Euler equation is valid macroscopic observables develop stochastic behavior; this might be contrasted with the expected picture based on the description of the long-time behavior of the system in terms of a Navier-Stokes correction to the Euler equation. We propose a scheme for defining an operator reminiscent of the wave operator and of the Moeller morphism in scattering theory, which could be considered in one case as defining the Navier-Stokes correction, while still being meaningful when the Navier-Stokes description fails. The model we consider is a system of hard core particles on the line moving with constant velocities except for elastic collisions.
Research Organization:
Univ. of Colorado, Boulder (USA)
OSTI ID:
6313877
Journal Information:
J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 51:5-6; ISSN JSTPB
Country of Publication:
United States
Language:
English

Similar Records

Fluctuations in a one-dimensional mechanical system. I. The Euler limit
Journal Article · Mon Aug 01 00:00:00 EDT 1988 · J. Stat. Phys.; (United States) · OSTI ID:6065421
Existence and Regularity of the Pressure for the Stochastic Navier-Stokes Equations
Journal Article · Wed Oct 15 00:00:00 EDT 2003 · Applied Mathematics and Optimization · OSTI ID:21064229
A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion
Journal Article · Fri Feb 19 23:00:00 EST 2010 · Journal of Computational Physics · OSTI ID:21333928

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BROWNIAN MOVEMENT
COLLISIONS
DIFFERENTIAL EQUATIONS
DIFFUSION
ELASTIC SCATTERING
EQUATIONS
FLUCTUATIONS
INTERACTIONS
MATHEMATICAL MODELS
MECHANICS
NAVIER-STOKES EQUATIONS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
SCATTERING
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TRANSPORT THEORY
VARIATIONS