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

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

Published on: December 4, 2017

Current fluctuations in a particle-nonconserving reaction-diffusion process.

Pegah Torkaman¹, Farhad H Jafarpour

¹Physics Department, Bu-Ali Sina University, 65174-4161 Hamedan, Iran.

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

|February 16, 2013

Summary

This summary is machine-generated.

This study analyzes a particle system

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Area of Science:

Statistical Mechanics
Non-equilibrium Physics
Condensed Matter Theory

Background:

Classical particle systems on lattices exhibit phase transitions.
Understanding entropy production is key in non-equilibrium systems.

Purpose of the Study:

Investigate phase transitions in a 1D coagulation-decoagulation system.
Derive exact expressions for entropy production rate.
Analyze fluctuations using large deviation theory.

Main Methods:

Matrix product approach for exact calculations.
Large deviation analysis for fluctuation properties.
Thermodynamic limit and finite lattice considerations.

Main Results:

Exact expression for average entropy production rate obtained.
Phase transition point identified via large deviation function kink.
Entropy production fluctuations deviate from Gaussian behavior in the high-density phase.

Conclusions:

The study provides a method to detect phase transitions through fluctuation analysis.
Non-Gaussian behavior of entropy production is characteristic of the high-density phase.
Gallavotti-Cohen fluctuation relation is verified for particle current.