Thermal Contact

Morriss, Gary P.; Chung, Tony; Angstmann, Christopher N.

doi:10.3390/e10040786

Cited by 7 publications

(9 citation statements)

References 21 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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“…In section (III), the local entropy-balance equation was derived theoretically as Eq. (18), which equates the local change in entropy density to the divergence of the entropy flux and the entropy production σ. In a steady state the FIG.…”

Section: Local Collision Frequency and Entropy Densitymentioning

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 change in local temperature near the system-reservoir boundary for a mechanical reservoir [12] termed a Kapitza resistance has been previously reported [10,13], but here we investigate the origin of this effect in our system.…”

Section: Introductionmentioning

confidence: 76%

“…This is not a good fit to the data and for the distribution to be properly normalised we require α = β. For = 1/2, there is only one physical solution to Equation (12), T = 1.78152, independent of both N and ρ. Whether this temperature should be associated with the particle closest to the boundary or some other bulk measure of the temperature is not immediately clear.…”

Section: Energy Balancementioning

confidence: 99%

Deterministic Thermal Reservoirs

Morriss

Truant

2012

Entropy

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Abstract:We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism for hard disks where the collision rule at the boundary is modified. Numerical evidence and theoretical argument is given that suggests that an energy balance is achieved for a system of hard disks in contact with two reservoirs at equal temperatures. This system however produces entropy near the the system-reservoir boundaries and this entropy flows into the two reservoirs. Thus rather than producing an equilibrium state, the system is at a steady state with a steady entropy flow without any associated energy flux. The microscopic mechanisms associated with energy and entropy fluxes for this system are examined in detail.

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Thermal Contact

Cited by 7 publications

References 21 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

Deterministic Thermal Reservoirs

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