Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Functionals in stochastic thermodynamics: how to interpret stochastic integrals
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).ORCID iD: 0000-0002-2738-867X
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 32019 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, article id 084005Article in journal (Refereed) Published
Abstract [en]

In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such as heat, work, and entropy production, are generalized to small fluctuating systems by defining them on a trajectory-wise level. In Langevin systems with continuous state-space such definitions involve stochastic integrals along system trajectories, whose specific values depend on the discretization rule used to evaluate them (i.e. the 'interpretation' of the noise terms in the integral). Via a systematic mathematical investigation of this apparent dilemma, we corroborate the widely used standard interpretation of heat-and work-like functionals as Stratonovich integrals. We furthermore recapitulate the anomalies that are known to occur for entropy production in the presence of temperature gradients.

Place, publisher, year, edition, pages
2019. article id 084005
Keywords [en]
stochastic thermodynamics, stochastic particle dynamics, stochastic processes, coarse-graining
National Category
Mechanical Engineering Mathematics
Identifiers
URN: urn:nbn:se:su:diva-173196DOI: 10.1088/1742-5468/ab3111ISI: 000481926600001OAI: oai:DiVA.org:su-173196DiVA, id: diva2:1351845
Available from: 2019-09-17 Created: 2019-09-17 Last updated: 2019-12-09Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Bo, StefanoLim, Soon HoeEichhorn, Ralf
By organisation
Nordic Institute for Theoretical Physics (Nordita)
In the same journal
Journal of Statistical Mechanics: Theory and Experiment
Mechanical EngineeringMathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 18 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf