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A Quantum Heat Exchanger for Nanotechnology
Article

Joint Fluctuation Theorems for Sequential Heat Exchange

1
Instituto de Física da Universidade de São Paulo, São Paulo 05314-970, Brazil
2
Universidade Federal do ABC, Santo André 09210-580, Brazi
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(7), 763; https://doi.org/10.3390/e22070763
Received: 5 March 2020 / Revised: 6 July 2020 / Accepted: 8 July 2020 / Published: 12 July 2020
We study the statistics of heat exchange of a quantum system that collides sequentially with an arbitrary number of ancillas. This can describe, for instance, an accelerated particle going through a bubble chamber. Unlike other approaches in the literature, our focus is on the joint probability distribution that heat Q 1 is exchanged with ancilla 1, heat Q 2 is exchanged with ancilla 2, and so on. This allows us to address questions concerning the correlations between the collisional events. For instance, if in a given realization a large amount of heat is exchanged with the first ancilla, then there is a natural tendency for the second exchange to be smaller. The joint distribution is found to satisfy a Fluctuation theorem of the Jarzynski–Wójcik type. Rather surprisingly, this fluctuation theorem links the statistics of multiple collisions with that of independent single collisions, even though the heat exchanges are statistically correlated. View Full-Text
Keywords: fluctuation theorems; collisional models fluctuation theorems; collisional models
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MDPI and ACS Style

Santos, J.; Timpanaro, A.; Landi, G. Joint Fluctuation Theorems for Sequential Heat Exchange. Entropy 2020, 22, 763. https://doi.org/10.3390/e22070763

AMA Style

Santos J, Timpanaro A, Landi G. Joint Fluctuation Theorems for Sequential Heat Exchange. Entropy. 2020; 22(7):763. https://doi.org/10.3390/e22070763

Chicago/Turabian Style

Santos, Jader; Timpanaro, André; Landi, Gabriel. 2020. "Joint Fluctuation Theorems for Sequential Heat Exchange" Entropy 22, no. 7: 763. https://doi.org/10.3390/e22070763

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