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Updated: Jul 14, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Statistics of entropy production in linearized stochastic systems.
K Turitsyn1, M Chertkov, V Y Chernyak
1Landau Institute for Theoretical Physics, Moscow, Kosygina 2, 119334, Russia.
Physical Review Letters
|May 16, 2007
Summary
This study analyzes entropy production in linear stochastic systems driven by asymmetric forces, calculating its large deviation function. The findings are demonstrated with a polymer in a gradient flow under thermal fluctuations.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Thermodynamics
- Soft Matter Physics
Background:
- Linear stochastic systems often maintain detailed balance.
- External forces can drive systems away from equilibrium.
- Entropy production is a key indicator of non-equilibrium processes.
Purpose of the Study:
- To investigate entropy production in systems driven by multiplicative asymmetric forces.
- To calculate the large deviation function for entropy production.
- To illustrate the general results with a specific physical example.
Main Methods:
- Analysis of linear stochastic differential equations.
- Application of large deviation theory.
- Derivation of the entropy production function.
Main Results:
- Explicit calculation of the large deviation function for entropy production.
- Demonstration that multiplicative asymmetric forces break detailed balance.
- Quantification of entropy production in a model polymer system.
Conclusions:
- The study provides a general framework for understanding entropy production in driven non-equilibrium systems.
- The explicit calculation offers insights into the statistical properties of entropy production.
- The polymer example highlights the applicability of the theoretical framework to real-world phenomena.
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