Condensation induced by coupled transport processes

Gabriele, Gotti,; Iubini, Stefano; Politi, Paolo

doi:10.1103/physreve.106.054158

Cited by 3 publications

(11 citation statements)

References 41 publications

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“…As already detailed in [28], the inverse temperature β = 1/T and the chemical potential µ are related to the mass density a and to the energy density h through the relations…”

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

“…The equilibrium properties are well understood [22,25,27,28]. The system has a homogeneous phase for a 2 ⩽ h ⩽ 2a 2 and a condensed/localized phase for h > 2a 2 , characterized in the thermodynamic limit by a single site hosting a finite fraction of the whole energy, equal to (h − 2a 2 )N. Finite-size effects provide an interesting and unexpected scenario close to the critical line, h c = 2a 2 [24].…”

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

“…Out-of-equilibrium (grand canonical) simulations can be performed by attaching the two lattice ends to thermal reservoirs. Customarily, a Monte Carlo grand canonical heat baths [28] are used. In this paper, we directly impose the exact equilibrium distributions of masses, which allows sampling more efficiently the NESS, especially in proximity of the critical line.…”

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

“…Onsager coefficients versus h. Symbols refer to numerical simulations while solid lines are the analytic estimates obtained from equation (28). Lower, middle and upper data refer respectively to Laa, L ah and L hh .…”

Section: Low Temperature Limitmentioning

confidence: 99%

“…When a C2C chain is attached to two different reservoirs at its boundaries, the corresponding NESS can be visualized as a path in the thermodynamic plane (characterized by either mass and energy density in the microcanonical plane, or chemical potential and temperature in the grand canonical plane). Recently, it has been found that such paths may spontaneously enter the condensed region even when the extrema lie in the homogeneous region [28] 4 . In practice, energy can robustly localize within an internal portion of the chain, while the boundaries of the system behave smoothly and display standard thermal fluctuations.…”

Section: Introductionmentioning

confidence: 99%

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Onsager coefficients in a coupled-transport model displaying a condensation transition

Iubini

Politi

2023

New J. Phys.

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We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schr"odinger equation. This model is characterized by two conserved quantities, namely mass and energy; it displays a ``normal", homogeneous phase, separated by a condensed (negative-temperature) phase, where a macroscopic fraction of energy is localized on a single lattice site. When steadily maintained out of equilibrium by external reservoirs, the system exhibits coupled transport herein studied within the framework of linear response theory. We find that the Onsager coefficients satisfy an exact scaling relationship, which allows reducing their dependence on the thermodynamic variables to that on the energy density for unitary mass density. We also determine the structure of the nonequilibrium steady states in proximity of the critical line, proving the existence of paths which partially enter the condensed region. This phenomenon is a consequence of the Joule effect:the temperature increase induced by the mass current is so strong as to drive the system to negative temperatures. Finally, since the model attains a diverging temperature at finite energy, in such a limit the energy-mass conversion efficiency reaches the ideal Carnot value.

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“…As already detailed in [28], the inverse temperature β = 1/T and the chemical potential µ are related to the mass density a and to the energy density h through the relations…”

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

Section: The Model and Its Equilibrium And Out-of-equilibrium Propertiesmentioning

confidence: 99%

Section: Low Temperature Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Onsager coefficients in a coupled-transport model displaying a condensation transition

Iubini

Politi

2023

New J. Phys.

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Localization in Boundary-Driven Lattice Models

Giusfredi,

Iubini,

Politi

2024

J Stat Phys

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Several systems display an equilibrium condensation transition, where a finite fraction of a conserved quantity is spatially localized. The presence of two conservation laws may induce the emergence of such transition in an out-of-equilibrium setup, where boundaries are attached to different and subcritical heat baths. We study this phenomenon in a class of stochastic lattice models, where the local energy is a general convex function of the local mass, mass and energy being both globally conserved in the isolated system. We obtain exact results for the nonequilibrium steady state (spatial profiles, mass and energy currents, Onsager coefficients) and we highlight important differences between equilibrium and out-of-equilibrium condensation.

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Relaxation Dynamics and Finite-Size Effects in a Simple Model of Condensation

Gotti,

Iubini,

Politi

2023

Fluct. Noise Lett.

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In this paper, we consider a simple, purely stochastic model characterized by two conserved quantities (mass density a and energy density h) which is known to display a condensation transition when [Formula: see text]: in the localized phase a single site hosts a finite fraction of the whole energy. Its equilibrium properties in the thermodynamic limit are known and in a recent paper [G. Gotti, S. Iubini and P. Politi, Finite-size localization scenarios in condensation transitions, Phys. Rev. E 103 (2021) 052133] we studied the transition for finite systems. Here, we analyze finite-size effects on the energy distribution and on the relaxation dynamics, showing that extremely large systems should be studied in order to observe the asymptotic distribution and even larger systems should be simulated in order to observe the expected relaxation dynamics.

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Condensation induced by coupled transport processes

Cited by 3 publications

References 41 publications

Onsager coefficients in a coupled-transport model displaying a condensation transition

Onsager coefficients in a coupled-transport model displaying a condensation transition

Localization in Boundary-Driven Lattice Models

Relaxation Dynamics and Finite-Size Effects in a Simple Model of Condensation

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