scholarly journals Fluctuation theorems with retrodiction rather than reverse processes

2021 ◽  
Vol 3 (4) ◽  
pp. 045601
Author(s):  
Clive Cenxin Aw ◽  
Francesco Buscemi ◽  
Valerio Scarani
Keyword(s):  
Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 231
Author(s):  
Paul Boes ◽  
Rodrigo Gallego ◽  
Nelly H. Y. Ng ◽  
Jens Eisert ◽  
Henrik Wilming

Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such constraints, expressed in the form of the Jarzysnki equality, can be by-passed if one allows for the use of catalysts---additional degrees of freedom that may become correlated with the system from which work is extracted, but whose reduced state remains unchanged so that they can be re-used. This violation can be achieved both for small systems but also for macroscopic many-body systems, and leads to positive work extraction per particle with finite probability from macroscopic states in equilibrium. In addition to studying such violations for a single system, we also discuss the scenario in which many parties use the same catalyst to induce local transitions. We show that there exist catalytic processes that lead to highly correlated work distributions, expected to have implications for stochastic and quantum thermodynamics.


2019 ◽  
Author(s):  
Reinaldo García-García ◽  
Arthur Genthon ◽  
David Lacoste

Using a population dynamics inspired by an ensemble of growing cells, a set of fluctuation theorems linking observables measured at the lineage and population levels are derived. One of these relations implies inequalities comparing the population doubling time with the mean generation time at the lineage or population levels. We argue that testing these inequalities provides useful insights into the underlying mechanism controlling the division rate in such branching processes.


2007 ◽  
Vol 8 (5-6) ◽  
pp. 507-517 ◽  
Author(s):  
E.G.D. Cohen ◽  
Ramses van Zon

2000 ◽  
Vol 61 (5) ◽  
pp. R4679-R4682 ◽  
Author(s):  
Lamberto Rondoni ◽  
Tamás Tél ◽  
Jürgen Vollmer

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