A mechanical model of Brownian motion in half-space

Journal Article · Mon May 01 00:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01041603· OSTI ID:5507293

Calderoni, P; Duerr, D; Kusuoka, S ^[1]

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1. Univ. of Rome (Italy)

The authors consider the motion of a heavy mass in an ideal gas in a semi-infinite system, with elastic collisions at the boundary. The motion is determined by elastic collisions. They prove in the Brownian motion limit the convergence of the position and velocity process of the heavy particle to a diffusion process in which velocity and position remain coupled.

• OSTI ID: 5507293
• Journal Information: Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 55:3-4; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

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657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOM COLLISIONS
ATOM-MOLECULE COLLISIONS
ATOMS
BOLTZMANN STATISTICS
BOUNDARY CONDITIONS
BROWNIAN MOVEMENT
COLLISIONS
CONVERGENCE
DIFFERENTIAL EQUATIONS
DIFFUSION
ELASTIC SCATTERING
EQUATIONS
FLUIDS
GASES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
MOLECULE COLLISIONS
MOLECULES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
POISSON EQUATION
SCATTERING
SPACE
STATISTICAL MECHANICS
THERMODYNAMICS
TRANSPORT THEORY
VELOCITY