Abstract:
:The efficiency of an heat engine is traditionally defined as the ratio of its average output work over its average input heat. Its highest possible value was discovered by Carnot in 1824 and is a cornerstone concept in thermodynamics. It led to the discovery of the second law and to the definition of the Kelvin temperature scale. Small-scale engines operate in the presence of highly fluctuating input and output energy fluxes. They are therefore much better characterized by fluctuating efficiencies. In this study, using the fluctuation theorem, we identify universal features of efficiency fluctuations. While the standard thermodynamic efficiency is, as expected, the most likely value, we find that the Carnot efficiency is, surprisingly, the least likely in the long time limit. Furthermore, the probability distribution for the efficiency assumes a universal scaling form when operating close-to-equilibrium. We illustrate our results analytically and numerically on two model systems.
journal_name
Nat Communjournal_title
Nature communicationsauthors
Verley G,Esposito M,Willaert T,Van den Broeck Cdoi
10.1038/ncomms5721subject
Has Abstractpub_date
2014-09-15 00:00:00pages
4721issn
2041-1723pii
ncomms5721journal_volume
5pub_type
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