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Physical Review Research, 2023 The cycle current is a crucial quantity in stochastic thermodynamics. The absolute and net cycle currents of a Markovian system can be defined in the loop-erased (LE) or spanning tree (ST) manner.
Yuhao Jiang, Bingjie Wu, Chen Jia
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Entropy, 2021 Nonequilibrium work relations have fundamentally advanced our understanding of molecular processes. In recent years, fluctuation theorems have been extensively applied to understand transitions between equilibrium steady-states, commonly described by ...
Yuecheng Zhou +2 more
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Finite bath fluctuation theorem [PDF]
Physical Review E, 2009 We demonstrate that a Finite Bath Fluctuation Theorem of the Crooks type holds for systems that have been thermalized via weakly coupling it to a bath with energy independent finite specific heat. We show that this theorem reduces to the known canonical and microcanonical fluctuation theorems in the two respective limiting cases of infinite and ...
Campisi, Michele +2 more
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Fluctuation Theorem Uncertainty Relation [PDF]
Physical Review Letters, 2019 6 pages, 2 figures; 9 pages of supplemental material with 4 ...
Yoshihiko Hasegawa, Tan Van Vu
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A topological fluctuation theorem
Nature Communications, 2022 AbstractFluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to give a geometric characterization of the entropy production.
Benoît Mahault +2 more
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The instantaneous fluctuation theorem [PDF]
The Journal of Chemical Physics, 2013 We give a derivation of a new instantaneous fluctuation relation for an arbitrary phase function which is odd under time reversal. The form of this new relation is not obvious, and involves observing the system along its transient phase space trajectory both before and after the point in time at which the fluctuations are being compared. We demonstrate
Petersen, Charlotte F. +2 more
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Relativistic fluctuation theorems [PDF]
Comptes Rendus. Physique, 2007 To reveal how nonequilibrium physics and relativity theory intertwine, this article studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy Δs, which is locally produced in this extreme nonequilibrium situation, are presented and proven.
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Stochastic Thermodynamics of a Finite Quantum System Coupled to Two Heat Baths
Entropy, 2023 We consider a situation where an N-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general Jarzynski-type equation
Heinz-Jürgen Schmidt, Jochen Gemmer
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A local fluctuation theorem [PDF]
The Journal of Chemical Physics, 2001 The fluctuation theorem gives an analytic expression for the probability, in a nonequilibrium system of finite size observed for a finite time, that the dissipative flux will flow in the reverse direction to that required by the second law of thermodynamics. In the present paper a local version of the fluctuation theorem (LFT) is derived heuristically.
Ayton, G, Evans, DJ, Searles, DJ
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Harnessing fluctuations in thermodynamic computing via time-reversal symmetries
Physical Review Research, 2021 We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of microscopic ...
Gregory Wimsatt +6 more
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