2012/06/30 by Yu. E. Kuzovlev, Kuzovlev, Yu. E.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.48550/arxiv.1207.0058
10 pages, no figures, latex2e iopart
arxiv created 2012/06/30 · openalex publication_date 2012/06/30 · arxiv updated 2012/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider quantum Hamiltonian systems composed of mutually interacting "dynamical subsystem" with one or several degrees of freedom and "thermostat" with arbitrary many degrees of freedom, under assumptions that the interaction ensures irreversible behavior of the dynamical subsystem, that is finite diffusivities of its coordinates in thermodynamically equilibrium state and finite drift velocities and mobilities in non-equilibrium steady state in presence of external driving forces. It is shown that, nevertheless, regardless of characteristics of the interaction, the diffusivity and mobility have no certain values but instead vary from one observation to another and undergo 1/f-type or flicker-type low-frequency fluctuations.