Specific heat of a driven lattice gas

Article Chemistry, Physical

A Nernst heat theorem for nonequilibrium jump processes

Faezeh Khodabandehlou et al.

Summary: We discuss when and why the steady nonequilibrium heat capacity vanishes with temperature using general arguments and examples. The framework of Markov jump processes on finite connected graphs is used, where the condition of local detailed balance helps identify the heat fluxes, and the discreteness enables a nondegenerate stationary distribution at absolute zero. Additionally, a dynamic condition is needed for the nonequilibrium extension of the Third Law to ensure that the low-temperature dynamical activity and accessibility of the dominant state remain sufficiently high.

JOURNAL OF CHEMICAL PHYSICS (2023)

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Article Physics, Multidisciplinary

Calorimetry for active systems

Pritha Dolai et al.

Summary: We provide the theoretical basis for calorimetry of a class of active particles subject to thermal noise. Numerical evaluations of heat capacity of run-and-tumble particles in double-well and periodic potentials, and systems with a flashing potential are conducted, demonstrating the role of activity and indicating shape transitions. Negative heat capacity regimes are observed at higher propulsion speeds, possibly leading to an increase in heat capacities of active systems at low temperatures and potential diagnostic tools based on heat capacity measurements for self-motile artificial or biomimetic systems.

SCIPOST PHYSICS (2023)

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Article Statistics & Probability

Drazin-inverse and heat capacity for driven random walkers on the ring

Faezeh Khodabandehlou et al.

Summary: In this study, the single and double tree-like representations of Markov jump processes on ZN are applied to obtain their nonequilibrium heat capacity under the diffusion limit N → ∞. The Drazin-inverse of the backward generator is graphically represented, allowing for an exact computation of an important nonequilibrium quantity (excess heat) for Markov jump processes through the combination of algebraic and graph-theoretical approaches.

STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2023)

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Article Physics, Multidisciplinary

Exact calculations of the thermal properties of two-electron GaAs quantum dots with inverse-square interactions

F. S. Nammas et al.

Summary: In this study, the effect of the inverse-square interaction on the thermal properties of two electrons trapped in a parabolic GaAs quantum dot was theoretically investigated. It was found that the thermal energy increased with temperature and remained constant at low temperatures. The inverse-square interaction also increased the thermal mean energy and the heat capacity. Entropy increased linearly with temperature. The number of allowed states decreased with increasing interaction strength. The inverse-square interaction did not affect the heat capacity and entropy despite its noticeable effects on the thermal mean energy.

CANADIAN JOURNAL OF PHYSICS (2022)

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Article Multidisciplinary Sciences