33 citations · 142 across the 6 of their papers we have counts for
6 papers
Arcsine Law and Multistable Brownian Dynamics in a Tilted Periodic Potential
J. Spiechowicz, J. Łuczka
Multistability is one of the most important phenomena in dynamical systems, e.g. bistability enables the implementation of logic gates and therefore computation. Recently multistab…
Diffusion in a biased washboard potential revisited
J. Spiechowicz, J. Luczka
The celebrated Sutherland-Einstein relation for systems at thermal equilibrium states that spread of trajectories of Brownian particles is an increasing function of temperature. He…
Quantum partition of energy for a free Brownian particle: Impact of dissipation
J. Spiechowicz, P. Bialas, J. Łuczka
We study the quantum counterpart of the theorem on energy equipartition for classical systems. We consider a free quantum Brownian particle modelled in terms of the Caldeira-Legget…
SQUID ratchet: Statistics of transitions in dynamical localization
Jakub Spiechowicz, Jerzy Łuczka
We study occupation of certain regions of phase space of an asymmetric superconducting quantum interference device (SQUID) driven by thermal noise, subjected to an external ac curr…
Self--averaging of random quantum dynamics
Marcin Łobejko, Jerzy Dajka, Jerzy Łuczka
Stochastic dynamics of a quantum system driven by statistically independent random sudden quenches in a fixed time interval is studied. We reveal that with growing the syst…
Quantum analogue of energy equipartition theorem
P. Bialas, J. Spiechowicz, J. Luczka
One of the fundamental laws of classical statistical physics is the energy equipartition theorem which states that for each degree of freedom the mean kinetic energy equals $…