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Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

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Large fluctuations in driven dissipative media.

A Prados¹, A Lasanta, Pablo I Hurtado

¹Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Sevilla 41080, Spain.

Physical Review Letters

|November 24, 2011

Summary

This summary is machine-generated.

We analyzed energy dissipation fluctuations in driven systems. Results show non-Gaussian distributions violating fluctuation theorems, supporting hydrodynamic fluctuation theory for complex media.

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Area of Science:

Physics
Statistical Mechanics
Non-equilibrium Thermodynamics

Background:

Understanding fluctuations in driven dissipative systems is crucial for non-equilibrium statistical mechanics.
Hydrodynamic fluctuation theory provides a framework for analyzing such systems.
The fluctuation theorem is a key principle in non-equilibrium thermodynamics.

Purpose of the Study:

To analyze the fluctuations of dissipated energy in a general model of dissipation, diffusion, and driving.
To investigate the properties of the full dissipation distribution and its deviation from the fluctuation theorem.
To examine the scaling behavior in different dissipation limits and analyze typical paths of dissipation fluctuations.

Main Methods:

Development of a simple and general model incorporating dissipation, diffusion, and driving.
Application of hydrodynamic fluctuation theory to derive the dissipation distribution.
Analysis of scaling forms in weak- and strong-dissipation regimes.
Detailed analysis of typical paths associated with dissipation fluctuations.
Validation through extensive numerical simulations.

Main Results:

The full dissipation distribution exhibits non-Gaussian tails and a missing negative branch, violating the fluctuation theorem due to irreversible dynamics.
Simple scaling forms are observed in both weak- and strong-dissipation limits.
Large fluctuations are favored in the weak-dissipation limit but suppressed in the strong-dissipation limit.
The typical path of dissipation fluctuations was analyzed in detail.

Conclusions:

The study confirms the violation of the fluctuation theorem in driven dissipative systems, as predicted by the irreversibility of dynamics.
Hydrodynamic fluctuation theory accurately describes the fluctuating behavior in these complex media.
The findings provide strong support for the validity and applicability of hydrodynamic fluctuation theory in analyzing non-equilibrium systems.