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1Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
Summary
This study examines work fluctuations in solvable systems, showing how dynamical broadening affects work distributions. It clarifies when stochastic dynamics are valid and how to extract system-bath interaction information.
Area of Science:
- Statistical mechanics
- Quantum thermodynamics
Background:
- Understanding work fluctuations is crucial in non-equilibrium thermodynamics.
- Solvable model systems provide a tractable framework for studying complex dynamics.
Purpose of the Study:
- To analyze work distributions and fluctuations in finite-time processes.
- To investigate the impact of system-bath interactions and recurrences on work distributions.
- To determine conditions for valid stochastic treatments and information extraction.
Main Methods:
- Analysis of solvable model systems undergoing finite-time changes.
- Focus on work fluctuations and their effect on the distribution P(e{-beta{0}W}).
- Examination of dynamical broadening due to system-bath interactions and recurrences.
Main Results:
- Work distributions are Gaussian with no entropic change for the systems studied.
- Dynamical broadening influences the dependence of P(e{-beta{0}W}) on time and system-bath interactions.
- Long-time behavior reveals conditions for stochastic dynamics and information extraction.
Conclusions:
- The study clarifies the role of system-bath interactions in work fluctuations.
- It establishes criteria for applying stochastic treatments to near-equilibrium systems.
- Methods for extracting system-bath interaction information from work distributions are presented.
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