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Imitating nonequilibrium steady states using time-varying equilibrium force in many-body diffusive systems
Ohad Shpielberg1, Takahiro Nemoto2
1Collège de France, 11 place Marcelin Berthelot, 75231 Paris Cedex 05, France.
Physical Review. E
|October 24, 2019
Summary
We found that stochastic pumps (SP) generate more entropy than nonequilibrium steady states (NESS). This entropy difference relates to particle current conductivity and reveals connections to traffic waves.
Area of Science:
- Statistical Mechanics
- Many-Body Physics
- Nonlinear Dynamics
Background:
- Nonequilibrium steady states (NESS) are crucial for understanding systems driven by constant forces.
- Stochastic pumps (SP) offer a way to study similar systems using time-varying forces.
Purpose of the Study:
- To establish an equivalence between NESS and SP in diffusive systems.
- To compare the entropy production rates of NESS and SP.
- To explore the implications of this comparison for physical systems.
Main Methods:
- Theoretical analysis of general many-body diffusive systems.
- Mathematical comparison of entropy production rates under specific conditions.
- Investigation of SP protocols and their relation to system properties.
Main Results:
- An equivalence is demonstrated between NESS and SP when particle density and current are matched.
- Entropy production in SP is proven to be greater than in NESS under concavity conditions.
- A connection between SP protocols and traffic wave phenomena is uncovered.
Conclusions:
- The study provides a theoretical framework for comparing entropy production in different nonequilibrium systems.
- The findings highlight the role of particle current conductivity in determining entropy differences.
- The discovered link to traffic waves offers new perspectives on collective particle dynamics.
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