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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Classical small systems coupled to finite baths.

Hideo Hasegawa¹

¹Department of Physics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan. hideohasegawa@goo.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 17, 2011

Summary

This study explores energy exchange in classical N(S)-body systems coupled to harmonic oscillator baths. System energy distribution depends mainly on N(S) particles, not bath size N(B).

Area of Science:

Statistical mechanics
Computational physics
Non-equilibrium systems

Background:

Investigates classical N(S)-body systems interacting with harmonic oscillator baths.
Utilizes an (N(S)+N(B)) model, differing from common N(S)=1 approaches.

Purpose of the Study:

Analyze time-dependent energy exchange between system and bath.
Characterize the stationary energy distribution of the N(S)-body system.
Compare superstatistical approach (SSA) and microcanonical approach (MCA) for nonextensive statistics.

Main Methods:

Performed simulations solving 2(N(S)+N(B)) first-order differential equations.
Calculated energy exchange for N(S)≈1-10 and N(B)≈10-1000.
Analyzed stationary energy distribution f(S)(u) using Γ and q-Γ distributions.

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Main Results:

Observed rapid system energy fluctuations with a slower envelope.
Found system energy distribution f(S)(u) primarily depends on N(S), weakly on N(B).
Examined effects of bath oscillator coupling and ideal-gas systems.

Conclusions:

The N(S)-body system's statistical properties are robust to bath size variations.
Provides a critical comparison between SSA and MCA for nonextensive statistics.
Highlights the importance of N(S) in determining system behavior.