Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Cerino, Luca; Puglisi, Andrea

doi:10.1209/0295-5075/111/40012

Cited by 15 publications

(17 citation statements)

References 48 publications

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“…In other examples of coarse-grained out-of-equilibrium systems (e.g. granular systems 38 , but also different models of active particles 22 , or systems with feedback 19 ) one has that the heat flux does not rule the entropy flux and therefore there is nothing similar to a Clausius relation 25 . Models with temperature gradients showing such a relation can be found in refs 39 and 40 .…”

Section: Model and Methodsmentioning

confidence: 99%

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Heat, temperature and Clausius inequality in a model for active Brownian particles

Marconi

Puglisi²,

Maggi

2017

Sci Rep

100

139

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Methods of stochastic thermodynamics and hydrodynamics are applied to a recently introduced model of active particles. The model consists of an overdamped particle subject to Gaussian coloured noise. Inspired by stochastic thermodynamics, we derive from the system’s Fokker-Planck equation the average exchanges of heat and work with the active bath and the associated entropy production. We show that a Clausius inequality holds, with the local (non-uniform) temperature of the active bath replacing the uniform temperature usually encountered in equilibrium systems. Furthermore, by restricting the dynamical space to the first velocity moments of the local distribution function we derive a hydrodynamic description where local pressure, kinetic temperature and internal heat fluxes appear and are consistent with the previous thermodynamic analysis. The procedure also shows under which conditions one obtains the unified coloured noise approximation (UCNA): such an approximation neglects the fast relaxation to the active bath and therefore yields detailed balance and zero entropy production. In the last part, by using multiple time-scale analysis, we provide a constructive method (alternative to UCNA) to determine the solution of the Kramers equation and go beyond the detailed balance condition determining negative entropy production.

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Section: Model and Methodsmentioning

confidence: 99%

“…As a consequence in the stationary state the Clausius inequality is no more guaranteed. A possible interpretation of this fact is a problem in the modellisation of the external non-conservative agent 25 .…”

mentioning

confidence: 99%

Heat, temperature and Clausius inequality in a model for active Brownian particles

Marconi

Puglisi²,

Maggi

2017

Sci Rep

100

139

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show abstract

“…Therefore we assume that z(t) is a variable with even parity under time-reversal. The parity of coarse-grained variables is, in general, a subtle problem, see for instance[112,77].…”

mentioning

confidence: 99%

Temperature in and out of equilibrium: A review of concepts, tools and attempts

2017

Self Cite

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We review the general aspects of the concept of temperature in equilibrium and non-equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short historical survey of the key role of temperature in thermodynamics and statistical mechanics, we tackle a series of issues which have been recently reconsidered. In particular, we discuss different definitions and their relevance for energy fluctuations. The interest in such a topic has been triggered by the recent observation of negative temperatures in condensed matter experiments. Moreover, the ability to manipulate systems at the micro and nano-scale urges to understand and clarify some aspects related to the statistical properties of small systems (as the issue of temperature's "fluctuations"). We also discuss the notion of temperature in a dynamical context, within the theory of linear response for Hamiltonian systems at equilibrium and stochastic models with detailed balance, and the generalised fluctuation-response relations, which provide a hint for an extension of the definition of temperature in far-from-equilibrium systems. To conclude we consider non-Hamiltonian systems, such as granular materials, turbulence and active matter, where a general theoretical framework is still lacking.

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“…One may consider velocity-dependent forces. However, they are not the fundamental forces but the phenomenological forces [41].…”

Section: Charged Particle Under the Lorentz Forcementioning

confidence: 99%

Microscopic theory for the time irreversibility and the entropy production

Chun

Noh

2018

J. Stat. Mech.

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In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation between the irreversibility and the entropy production starting from the deterministic equations of motion of the whole system consisting of a physical system and a surrounding thermal environment. The physical system is driven by a nonconservative force. The derivation assumes the Markov approximation that the environmental degrees of freedom equilibrate instantaneously. Our approach concerns the irreversibility of the whole system not only the irreversibility of the physical system only. This approach provides a guideline for the choice of the proper reverse process to a given forward process. We demonstrate our idea with an example of a charged particle in the presence of a time-varying magnetic field.

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Entropy production for velocity-dependent macroscopic forces: The problem of dissipation without fluctuations

Cited by 15 publications

References 48 publications

Heat, temperature and Clausius inequality in a model for active Brownian particles

Heat, temperature and Clausius inequality in a model for active Brownian particles

Temperature in and out of equilibrium: A review of concepts, tools and attempts

Microscopic theory for the time irreversibility and the entropy production

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