2019/04/16 by J. Spiechowicz, J Spiechowicz, J. Łuczka +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Dissipation #Equipartition theorem #Particle (ecology) #Quantum #Quantum discord #Quantum dissipation #Quantum particle #Quantum statistical mechanics #Statistical Mechanics and Entropy #cond-mat.quant-gas #cond-mat.stat-mech #math-ph #math.MP #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1742-5468/ab1c4e
published as Journal of Statistical Mechanics 064002 (2019) · in press in J. Stat. Mech. (2019)
arxiv created 2019/04/16 · openalex created_date 2019/04/25 · openalex publication_date 2019/06/01 · arxiv updated 2021/03/25 · openalex updated_date 2026/08/05
Abstract We consider energetics of a free quantum Brownian particle coupled to thermostat of temperature T and study this problem in terms of the lately formulated quantum analogue of the energy equipartition theorem. We show how this quantum counterpart can be derived from the Callen–Welton fluctuation-dissipation relation and rephrased in terms of superstatistics. We analyse the influence of the system-thermostat coupling strength and the memory time of the dissipation kernel on statistical characteristics of the particle energy and its specific heat.