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Non-Clausius heat transfer in the classic mean-field systems

Author

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  • Yao, Yu-Chen
  • Hou, Ji-Xuan

Abstract

For systems with long-range interactions, it is common to observe the negative heat capacities as well as the temperature jumps in the microcanonical ensemble. If we connect two long-range interacting subsystems of different particle numbers by a weak short-range coupling in microcanonical ensemble, the heat could flow from the cold body to the hot one spontaneously in a certain parameter region. This adverse heat flow is recognized as non-Clausius heat transfer which has been reported by using the discrete spin models recently (Hou, 2019). However, the discrete models cannot depict the dynamical process of the heat flow, making the result not perfect enough. In this paper, both classic dynamical model and molecular dynamical simulation are used to identify the non-Clausius heat transfer. Furthermore, it is also proved that obtaining temperature by equipartition theorem in simulation leads to the identical results with the Maxwell relation.

Suggested Citation

  • Yao, Yu-Chen & Hou, Ji-Xuan, 2022. "Non-Clausius heat transfer in the classic mean-field systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    • Handle: RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009602
    DOI: 10.1016/j.physa.2021.126776
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