Deterministic Thermal Reservoirs

Morriss, Gary P.; Truant, Daniel

doi:10.3390/e14061011

Cited by 7 publications

(13 citation statements)

References 27 publications

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“…By molecular dynamics, Morriss and co-workers studied [51] the low-density hard-disk system in a narrow linear channel, which is in contact with two thermostats of fixed "temperatures" on both ends [52]. In the model, hard disks collide with the thermostat walls according to deterministic rules [52][53][54]. The temperature profile, local entropy density, entropy production rate, and heat flux through the system were obtained [51].…”

Section: Computer Simulationsmentioning

confidence: 99%

Thermodynamic Quantities of a Low-Density Gas in the Weakly Nonequilibrium Heat-Conduction Steady State

Humenyuk

2016

Ukr. J. Phys.

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A low-density gas in the heat-conduction steady state is considered. Within the theory of continuous media, corrections to the pressure and the internal energy are obtained, which are related to the local temperature gradients of several orders. Corresponding expressions are derived for the compressibilities along and across the heat flux as well as for heat capacities. The expression for the nonequilibrium entropy is shown to obey the second law of thermodynamics. The free energy calculated is found out not to satisfy properties of a thermodynamic potential.

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Section: Computer Simulationsmentioning

confidence: 99%

Thermodynamic Quantities of a Low-Density Gas in the Weakly Nonequilibrium Heat-Conduction Steady State

Humenyuk

2016

Ukr. J. Phys.

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“…As → 0 the system decouples from the reservoir and the boundary becomes a hard wall, and as → 1 the incoming momentum is replaced by the reservoir momentum. A recent study of this system in contact with two reservoirs of the same temperature [12] has shown that the active mechanical coupling leads to entropy production near each reservoir which then flows into the reservoir. These effects are local and involve a limited number of boundary layer particles regardless of the system size.…”

Section: Introductionmentioning

confidence: 99%

Dissipation and entropy production in deterministic heat conduction of quasi-one-dimensional systems

Morriss

Truant

2013

Phys. Rev. E

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We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous thermal conductivity. The microscopic form for the local heat flux vector is derived and both the kinetic and potential contributions are calculated. The total heat flux vector is shown to satisfy the continuity equation. The properties of this nonequilibrium steady state are studied as functions of system size and temperature gradient, identifying key scaling relations for the local fluid properties and separating bulk and boundary effects. The local entropy density calculated from the local equilibrium distribution is shown to be a very good approximation to the entropy density calculated directly from the velocity distribution even for systems that are far from equilibrium. The dissipation and kinetic entropy production and flux are compared quantitatively and the differing mechanisms discussed within the Bhatnagar-Gross-Krook approximation. For equal-temperature reservoirs the entropy production near the reservoir walls is shown to be proportional to the local phase space contraction calculated from the tangent space dynamics. However, for unequal temperatures, the connection between local entropy production and local phase space contraction is more complicated.

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“…A recent study of this system in contact with two reservoirs of the same temperature [22,24,27] has shown that the active mechanical coupling leads to entropy production near each reservoir which then flows into the reservoir. These effects are local and involve a limited number of boundary layer particles regardless of the system size.…”

Section: The Modelmentioning

confidence: 99%

The Anomalous Thermal Conductivity of Quasi-one-dimensional Hard Disks

Morriss

2017

CMST

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Abstract:We confirm that the conduction of heat in a system of quasi-one-dimension hard disks, with mechanically connected heat reservoirs of different temperatures, is anomalous. We consider systems of different sizes at the same density with the same externally applied temperature gradient and observe that the anomalous behaviour changes with system size. For systems with less than 1000 disks we find that the heat flux vector varies with the square root of the number of disks whereas for systems with more than 1000 disks the heat flux vector varies with the 2/3 power of the number of disks.

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Deterministic Thermal Reservoirs

Cited by 7 publications

References 27 publications

Thermodynamic Quantities of a Low-Density Gas in the Weakly Nonequilibrium Heat-Conduction Steady State

Thermodynamic Quantities of a Low-Density Gas in the Weakly Nonequilibrium Heat-Conduction Steady State

Dissipation and entropy production in deterministic heat conduction of quasi-one-dimensional systems

The Anomalous Thermal Conductivity of Quasi-one-dimensional Hard Disks

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