Skip navigation

Please use this identifier to cite or link to this item:
Title: Kinetic energy of a free quantum Brownian particle
Authors: Białas, Paweł
Łuczka, Jerzy
Keywords: quantum Brownian motion; kinetic energy; equipartition theorem
Issue Date: 2018
Citation: Entropy, Iss. 20 (2018), art. no. 123
Abstract: We consider a paradigmatic model of a quantum Brownian particle coupled to a thermostat consisting of harmonic oscillators. In the framework of a generalized Langevin equation, the memory (damping) kernel is assumed to be in the form of exponentially-decaying oscillations. We discuss a quantum counterpart of the equipartition energy theorem for a free Brownian particle in a thermal equilibrium state. We conclude that the average kinetic energy of the Brownian particle is equal to thermally-averaged kinetic energy per one degree of freedom of oscillators of the environment, additionally averaged over all possible oscillators’ frequencies distributed according to some probability density in which details of the particle-environment interaction are present via the parameters of the damping kernel.
DOI: 10.3390/e20020123
ISSN: 1099-4300
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Bialas_Kinetic_energy_of_a_free_guantum.pdf682,89 kBAdobe PDFView/Open
Show full item record

Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons