Abstract
We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: one is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequality is tight in the linear response regime.
| Original language | English |
|---|---|
| Journal | Journal of Statistical Physics |
| DOIs | |
| Publication status | Accepted/In press - 2018 Jan 1 |
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Keywords
- Finite time thermodynamics
- Heat engines
- Stochastic thermodynamics
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Fundamental Relation Between Entropy Production and Heat Current. / Shiraishi, Naoto; Saitou, Keiji.
In: Journal of Statistical Physics, 01.01.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Fundamental Relation Between Entropy Production and Heat Current
AU - Shiraishi, Naoto
AU - Saitou, Keiji
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: one is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequality is tight in the linear response regime.
AB - We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: one is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequality is tight in the linear response regime.
KW - Finite time thermodynamics
KW - Heat engines
KW - Stochastic thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=85055947047&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055947047&partnerID=8YFLogxK
U2 - 10.1007/s10955-018-2180-0
DO - 10.1007/s10955-018-2180-0
M3 - Article
AN - SCOPUS:85055947047
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
ER -