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Functionals in stoc...
Functionals in stochastic thermodynamics : how to interpret stochastic integrals
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- Bo, Stefano (author)
- KTH,Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Nordic Institute for Theoretical Physics NORDITA,Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, DE-01187 Dresden, Germany. ; Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
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- Lim, Soon Hoe (author)
- Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden;Nordita SU
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- Eichhorn, Ralf (author)
- KTH,Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Nordic Institute for Theoretical Physics NORDITA,Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
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(creator_code:org_t)
- 2019-08-16
- 2019
- English.
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In: Journal of Statistical Mechanics. - : IOP Publishing. - 1742-5468.
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Abstract
Subject headings
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Keyword
- stochastic thermodynamics
- stochastic particle dynamics
- stochastic processes
- coarse-graining
Publication and Content Type
- ref (subject category)
- art (subject category)
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