The European Physical Journal B

, 87:90

Thermodynamic anomalies in the presence of general linear dissipation: from the free particle to the harmonic oscillator


  • Robert Adamietz
    • Institut für PhysikUniversität Augsburg
    • Institut für PhysikUniversität Augsburg
  • Ulrich Weiss
    • Institut für Theoretische PhysikUniversität Stuttgart
Regular Article

DOI: 10.1140/epjb/e2014-50125-2

Cite this article as:
Adamietz, R., Ingold, G. & Weiss, U. Eur. Phys. J. B (2014) 87: 90. doi:10.1140/epjb/e2014-50125-2


A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negative specific heat, reentrant classicality or a nonmonotonic entropy. These low-temperature phenomena are expected to be modified at very low temperatures where finite-size effects associated with the discreteness of the energy spectrum become relevant. In this paper, we explore in which form the thermodynamic anomalies visible in the specific heat and the entropy of the free damped particle appear for a damped harmonic oscillator. Since the discreteness of the oscillator’s energy spectrum is fully accounted for, the results are valid for arbitrary temperatures. As expected, they are in agreement with the third law of thermodynamics and indicate how the thermodynamic anomalies of the free damped particle can be reconciled with the third law. Particular attention is paid to the transition from the harmonic oscillator to the free particle when the limit of the oscillator frequency to zero is taken.


Statistical and Nonlinear Physics

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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014