The one-dimensional Boltzmann gas: The ergodic hypothesis and the phase portrait of small systems

Journal Article · Thu Apr 01 00:00:00 EST 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01048095· OSTI ID:6515880

Rouet, J L ^[1]; Blasco, F; Feix, M R ^[2]

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1. UFR Faculte des Sciences, Orleans (France)
2. PMMS/CNRS, Orleans (France)

The concept of ergodicity and its application to microcanonical systems composed of few particles of different masses are clarified. The distribution functions in position and velocity are theoretically derived and numerically verified. Moreover, the authors deal with a one-dimensional Boltzmann gas where the order relation (connected to the one dimensionality) brings constraints depending on the two classes of boundary conditions enforced (reflecting, periodic). The numerical simulations on a one-dimensional Boltzmann gas act as real experiments and allow them to play on the constraints to which the system is subjected. 9 refs., 11 figs.

• OSTI ID: 6515880
• Journal Information: Journal of Statistical Physics; (United States), Vol. 71:1-2; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BOLTZMANN STATISTICS
COMPUTERIZED SIMULATION
ERGODIC HYPOTHESIS
ONE-DIMENSIONAL CALCULATIONS
GASES
STATISTICAL MECHANICS
DISTRIBUTION FUNCTIONS
VELOCITY
FLUIDS
FUNCTIONS
HYPOTHESIS
MECHANICS
SIMULATION
664300* - Atomic & Molecular Physics- Collision Phenomena- (1992-)
661300 - Other Aspects of Physical Science- (1992-)
990200 - Mathematics & Computers