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Extended Gibbs ensembles with flow.

M J Ison¹, F Gulminelli, C O Dorso

¹Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires 1428, Argentina.

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

|February 1, 2008

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A new statistical method for finite unbound systems with collective motion was applied to a Lennard-Jones system. This approach reveals that flow dynamics significantly impact microstate distributions in expanding systems.

Area of Science:

Statistical mechanics
Computational physics
Condensed matter physics

Background:

A novel statistical treatment for finite unbound systems with collective motion was recently proposed.
This method addresses systems exhibiting collective dynamics, which are common in various physical phenomena.

Purpose of the Study:

To apply a new statistical treatment to a classical Lennard-Jones system.
To investigate the impact of flow dynamics on microstate distributions in expanding systems.

Main Methods:

Molecular dynamics simulations were used to model a classical Lennard-Jones system.
The proposed statistical treatment was adapted for low-density freeze-out configurations.
Flow dynamics were analyzed within an ideal gas limit framework.

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Main Results:

In the ideal gas limit, flow dynamics were successfully recast into effective time-dependent Lagrange parameters.
The statistical treatment was extended to interacting, expanding systems at low densities.
The presence of flow was shown to significantly influence the microstate distribution.

Conclusions:

The applied statistical method provides a robust framework for analyzing systems with collective motion.
Flow dynamics play a crucial role in determining the microstate distribution of expanding systems.
This work validates the statistical treatment for interacting, classical systems.