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Non-Markovianity, entropy production, and Jarzynski equality
Jackes Martins1, Lucianno Defaveri1, Diogo O Soares-Pinto2
1Departamento de Física, Pontifícia Universidade Católica, 22451-900, Rio de Janeiro, Brazil.
Physical Review. E
|March 19, 2021
Summary
A non-Markovian memory kernel acts as an information pump, aiding information recovery during external work protocols. Interestingly, harmonic models show no entropy production, unlike nonlinear systems.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Information Theory
Background:
- Non-equilibrium statistical mechanics studies systems driven by external forces.
- Information exchange and entropy production are key metrics in understanding thermodynamic processes.
- Memory effects in physical systems can alter their dynamic behavior.
Purpose of the Study:
- To investigate the influence of a non-Markovian memory kernel on information exchange and entropy production.
- To analyze the validity of the Jarzynski equality under these conditions.
- To understand the role of nonlinearity in entropy production.
Main Methods:
- Theoretical modeling of harmonic and nonharmonic systems.
- Application of external work protocols.
- Analysis of information exchange and entropy production using the Jarzynski equality.
Main Results:
- The Jarzynski equality holds for both harmonic and nonharmonic models.
- The memory kernel functions as an information pump, recovering lost information.
- Harmonic models unexpectedly do not produce entropy, irrespective of the work protocol.
- Nonlinearity in the system leads to typical entropy production.
Conclusions:
- Non-Markovian memory kernels play a crucial role in information recovery during non-equilibrium processes.
- The absence of entropy production in the harmonic model highlights unique behaviors under specific conditions.
- System nonlinearity is essential for observing conventional entropy production in out-of-equilibrium protocols.
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