Entropy production as a tool for characterizing nonequilibrium phase transitions

Noa, C. E. Fernández; Harunari, Pedro E.; Oliveira, Mário J. de; Fiore, Carlos E.

doi:10.1103/physreve.100.012104

Cited by 41 publications

(50 citation statements)

References 31 publications

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“…First, for the choice of a microscopic initial condition, p sp α (0) = P sp N (0)/Ω N , where all microstates are uniformly distributed inside the respective mesostates according to Eq. (25). The local equilibrium is preserved at all times since the Hamiltonian (2) and thus the microscopic transition rates (4) do not discriminate between the equienergetic microstates inside the mesostate.…”

Section: Mesoscopic Descriptionmentioning

confidence: 99%

“…In fact, Eqs. (25), (62) and (63) represent a potential strategy to infer the entropy fluctuations in the mesoscopic state space at finite-time: Before starting the actual measurement, the non-autonomous driving is switched off and the system is reaching a unique stationary state. The system can now be non-autonomously driven out of its steady state during the measurement and the stochastic entropies can be calculated at finite time in the mesoscopic representation via Eqs.…”

Section: Mesoscopic Descriptionmentioning

confidence: 99%

“…Hence the stochastic dynamics can be equivalently represented across microscopic and mesoscopic scales and asymptotically on macroscopic scales as N → ∞. Furthermore, the thermodynamics can be equivalently formulated at microscopic and mesoscopic scales if the microstates inside each mesostate are equiprobable (25). The thermodynamic consistency at each of the two levels is encoded in the respective detailed fluctuation theorem, see Eqs.…”

Section: Mean-field First and Second Lawmentioning

confidence: 99%

“…However, little is known about their thermodynamic description. For instance, thermodynamics of nonequilibrium phase transitions started to be explored only recently [18][19][20][21][22][23][24][25][26][27][28][29][30]. There is a pressing need to develop methodologies to study thermodynamic quantities such as heat work and dissipation, not only at the average but also at the fluctuation level.…”

Section: Introductionmentioning

confidence: 99%

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Stochastic thermodynamics of all-to-all interacting many-body systems

et al. 2020

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We provide a stochastic thermodynamic description across scales for N identical units with allto-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with Poisson rates describing transitions between many-body states. We then identify an exact coarse graining leading to a mesoscopic description in terms of Poisson transitions between systems occupations. We also study macroscopic fluctuations using the Martin-Siggia-Rose formalism and large deviation theory. In the macroscopic limit (N → ∞), we derive an exact nonlinear (mean-field) rate equation describing the deterministic dynamics of the most likely occupations. Thermodynamic consistency, in particular the detailed fluctuation theorem, is demonstrated across microscopic, mesoscopic and macroscopic scales. The emergent notion of entropy at different scales is also outlined. Macroscopic fluctuations are calculated semianalytically in an out-of-equilibrium Ising model. Our work provides a powerful framework to study thermodynamics of nonequilibrium phase transitions.

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Section: Mesoscopic Descriptionmentioning

confidence: 99%

Section: Mesoscopic Descriptionmentioning

confidence: 99%

Section: Mean-field First and Second Lawmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stochastic thermodynamics of all-to-all interacting many-body systems

et al. 2020

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“…The critical behavior in the thermodynamic limit (N → ∞) can be better understood by performing a finite size analysis (Figs. 2(c) and (d)), where we plot Π u and Π d /N vs. N( / c − 1) for multiple values of N. Surprisingly, we find that the behavior of Π u matches exactly that of the classical entropy production in a discontinuous transition [49,51,52] (see [62] for more information). We also see from Fig.…”

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confidence: 77%

Quantum features of entropy production in driven-dissipative transitions

Goes

Fiore

Landi

2020

Phys. Rev. Research

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The physics of driven-dissipative transitions is currently a topic of great interest, particularly in quantum optical systems. These transitions occur in systems kept out of equilibrium and are therefore characterized by a finite entropy production rate. However, very little is known about how the entropy production behaves around criticality and all of it is restricted to classical systems. Using quantum phase-space methods, we put forth a framework that allows for the complete characterization of the entropy production in driven-dissipative transitions. Our framework is tailored specifically to describe photon loss dissipation, which is effectively a zero temperature process for which the standard theory of entropy production breaks down. As an application, we study the open Dicke and Kerr models, which present continuous and discontinuous transitions, respectively. We find that the entropy production naturally splits into two contributions. One matches the behavior observed in classical systems. The other diverges at the critical point.

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