Global Thermodynamics for Heat Conduction Systems

Nakagawa, Naoko; Sasa, Shigehiko

doi:10.1007/s10955-019-02393-2

Cited by 16 publications

(26 citation statements)

References 71 publications

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“…We will also see that θ is not necessarily equal to T c (p) because metastable states, such as super-cooled gas or super-heated liquid, may be stably observed in heat conduction. Moreover, this relation and other relations are consistent with those determined by the variational principle for heat conduction systems attached to two heat baths of T 1 and T 2 [31]. See Sec.…”

Section: S(h P N φ)supporting

confidence: 84%

“…From this viewpoint, the liquid-gas phase coexistence in heat conduction has turned out to be a good target even in the linear response regime. Our previous papers predicted that the interface temperature deviates from the equilibrium transition temperature [30,31]. Numerical simulations have quantitatively confirmed this prediction [32].…”

Section: Introductionmentioning

confidence: 60%

“…which was derived in [31] as a relation that determines the steady state in heat-conducting phase coexistence. θ is the interface temperature.…”

Section: S(h P N φ)mentioning

confidence: 99%

“…6, the system is kept at constant volume instead of at constant pressure. While the fundamental thermodynamic relations and the variational principles for the systems of constant pressure or constant volume were investigated in [31], we reformulate them from the results in the previous section.…”

Section: Thermodynamic Equivalence Of Steady States In Heat Conductionmentioning

confidence: 99%

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Unique extension of the maximum entropy principle to phase coexistence in heat conduction

Nakagawa¹,

Sasa²

2021

Preprint

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The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid-gas coexistence in heat conduction. We show the uniqueness of the extension under the assumption that the variational principle and the fundamental thermodynamic relation are simultaneously extended in the linear response regime with the total energy fixed. Using the extended variational principle, we calculate the thermodynamic quantities in this steady state and find that the temperature of the liquid-gas interface deviates from the equilibrium transition temperature, which should be verified in experiments.

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Section: S(h P N φ)supporting

confidence: 84%

Section: Introductionmentioning

confidence: 60%

“…which was derived in [31] as a relation that determines the steady state in heat-conducting phase coexistence. θ is the interface temperature.…”

Section: S(h P N φ)mentioning

confidence: 99%

Section: Thermodynamic Equivalence Of Steady States In Heat Conductionmentioning

confidence: 99%

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Unique extension of the maximum entropy principle to phase coexistence in heat conduction

Nakagawa¹,

Sasa²

2021

Preprint

Self Cite

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“…We have used these properties to measure with high accuracy the hard-disks equation of state in nonequilibrium simulations, obtaining excellent results even across the fluid-hexaticsolid transition regime. In particular, we have found an interesting nonequilibrium fluid/solid coexistence under a strong temperature gradient, a Stefan-like phenomenon which can be confronted with recent theoretical predictions [83][84][85][86] and calls for further investigation. Indeed, hints of the double phase transition in hard disks can be observed in the transport properties of the nonequilibrium fluid [32], a behavior that deserves further exploration.…”

Section: Discussion and Outlookmentioning

confidence: 69%

Simulations of Transport in Hard Particle Systems

Hurtado

Garrido

2020

J Stat Phys

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Hard particle systems are among the most successful, inspiring and prolific models of physics. They contain the essential ingredients to understand a large class of complex phenomena, from phase transitions to glassy dynamics, jamming, or the physics of liquid crystals and granular materials, to mention just a few. As we discuss in this paper, their study also provides crucial insights on the problem of transport out of equilibrium. A main tool in this endeavour are computer simulations of hard particles. Here we review some of our work in this direction, focusing on the hard disks fluid as a model system. In this quest we will address, using extensive numerical simulations, some of the key open problems in the physics of transport, ranging from local equilibrium and Fourier's law to the transition to convective flow in the presence of gravity, the efficiency of boundary dissipation, or the universality of anomalous transport in low dimensions. In particular, we probe numerically the macroscopic local equilibrium hypothesis, which allows to measure the fluid's equation of state in nonequilibrium simulations, uncovering along the way subtle nonlocal corrections to local equilibrium and a remarkable bulk-boundary decoupling phenomenon in fluids out of equilibrium. We further show that the the hydrodynamic profiles that a system develops when driven out of equilibrium by an arbitrary temperature gradient obey universal scaling laws, a result that allows the determination of transport coefficients with unprecedented precission and proves that Fourier's law remains valid in highly nonlinear regimes. Switching on a gravity field against the temperature gradient, we investigate numerically the transition to convective flow. We uncover a surprising two-step transition scenario with two different critical thresholds for the hot bath temperature, a first one where convection kicks but gravity hinders heat transport, and a second critical temperature where a percolation transition of streamlines connecting the hot and cold baths triggers efficient convective heat transport. We also address numerically the efficiency of boundary heat baths to dissipate the energy provided by a bulk driving mechanism. As a bonus track, we depart from the hard disks model to study anomalous transport in a related hard-particle system, the 1d diatomic hard-point gas. We show unambiguously that the universality conjectured for anomalous transport in 1d breaks down for this model, calling into question recent theoretical predictions and offering a new perspective on anomalous transport in low dimensions. Our results show how carefully-crafted numerical simulations Dedicated to Joel L. Lebowitz to celebrate his key role as leading editor of the Journal of Statistical Physics.

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Electric-field driven nonequilibrium phase transitions in AdS/CFT

Endo

Fukazawa

Matsumoto

et al. 2023

J. High Energ. Phys.

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We study phase transitions and critical phenomena in nonequilibrium steady states controlled by an electric field. We employ the D3/D7 model in the presence of a charge density and electric field at finite temperatures. The system undergoes the first-order and the second-order phase transitions under the variation of the electric field in the presence of dissipation. We numerically find that the critical exponents which we define for the nonequilibrium phase transition in this model take the mean-field values.

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Global Thermodynamics for Heat Conduction Systems

Cited by 16 publications

References 71 publications

Unique extension of the maximum entropy principle to phase coexistence in heat conduction

Unique extension of the maximum entropy principle to phase coexistence in heat conduction

Simulations of Transport in Hard Particle Systems

Electric-field driven nonequilibrium phase transitions in AdS/CFT

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