A topological fluctuation theorem.
Journal
Nature communications
ISSN: 2041-1723
Titre abrégé: Nat Commun
Pays: England
ID NLM: 101528555
Informations de publication
Date de publication:
31 May 2022
31 May 2022
Historique:
received:
27
08
2021
accepted:
10
05
2022
entrez:
31
5
2022
pubmed:
1
6
2022
medline:
1
6
2022
Statut:
epublish
Résumé
Fluctuation 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. Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protected modes in various classical and quantum systems. We demonstrate that entropy production is quantized in these strongly fluctuating systems, and it is controlled by a topological invariant. We demonstrate that the theorem holds even when the probability distributions are non-Gaussian functions of the generated heat.
Identifiants
pubmed: 35641506
doi: 10.1038/s41467-022-30644-6
pii: 10.1038/s41467-022-30644-6
pmc: PMC9156749
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
3036Informations de copyright
© 2022. The Author(s).
Références
Phys Rev Lett. 2005 Jul 22;95(4):040602
pubmed: 16090792
Phys Rev Lett. 2005 Sep 9;95(11):110202
pubmed: 16196980
Nat Commun. 2017 Apr 10;8(1):11
pubmed: 28396590
Phys Rev Lett. 2004 Apr 23;92(16):164301
pubmed: 15169234
Proc Natl Acad Sci U S A. 2011 May 10;108(19):7704-9
pubmed: 21493865
Phys Rev Lett. 2010 Apr 30;104(17):178103
pubmed: 20482146
Phys Rev Lett. 2013 Sep 13;111(11):118101
pubmed: 24074119
J Chem Phys. 2013 Nov 28;139(20):204109
pubmed: 24289346
Nat Commun. 2020 Nov 12;11(1):5745
pubmed: 33184296
Phys Rev Lett. 2020 Dec 18;125(25):258301
pubmed: 33416395
Phys Rev Lett. 2008 May 2;100(17):178302
pubmed: 18518344
Science. 2017 Nov 24;358(6366):1075-1077
pubmed: 28982798
Phys Rev Lett. 1993 Oct 11;71(15):2401-2404
pubmed: 10054671
Phys Rev Lett. 2019 Nov 15;123(20):205502
pubmed: 31809111
Rep Prog Phys. 2012 Dec;75(12):126001
pubmed: 23168354
Proc Natl Acad Sci U S A. 2020 Aug 18;117(33):19767-19772
pubmed: 32753380
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Jun;53(6):5861-5871
pubmed: 9964945
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Sep;60(3):2721-6
pubmed: 11970075
Proc Natl Acad Sci U S A. 2001 Mar 27;98(7):3658-61
pubmed: 11274384
Phys Rev E. 2016 Apr;93:042310
pubmed: 27176315
Phys Rev Lett. 1995 Apr 3;74(14):2694-2697
pubmed: 10057994
Nat Commun. 2017 Jan 10;8:13881
pubmed: 28071644
Phys Rev Lett. 2019 Mar 22;122(11):118001
pubmed: 30951337
Proc Natl Acad Sci U S A. 2018 Sep 25;115(39):E9031-E9040
pubmed: 30206153