87 citations · 568 across the 27 of their papers we have counts for
29 papers
Can the Brownian diffusion coefficient be reconstructed from Lyapunov exponents?
I. G. Marchenko, I. I. Marchenko, D. Ivashchenko +2
We consider an ac-driven particle moving in a spatially periodic and symmetric potential. In the zero- temperature limit, for the analyzed parameter set, its dynamics is non-chaoti…
Conundrum of weak noise limit for diffusion in a tilted periodic potential
Jakub Spiechowicz, Jerzy Łuczka
The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in determ…
Comment on "Deformed Fokker-Planck equation: inhomogeneous medium with a position-dependent mass"
Jerzy Łuczka
In a recent paper by B. G. da Costa {\it et al.} [Phys. Rev. E 102, 062105(2020)], the phenomenological Langevin equation and the corresponding Fokker-Planck equation for an inhomo…
Many faces of nonequilibrium: anomalous transport phenomena in driven periodic systems
P. Hänggi, J. Łuczka, J. Spiechowicz
We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatia…
Energy of a free Brownian particle coupled to thermal vacuum
J. Spiechowicz, J. Łuczka
Experimentalists have come to temperatures very close to absolute zero at which physics that was once ordinary becomes extraordinary. In such a regime quantum effects and fluctuati…
Quantum Counterpart of Classical Equipartition of Energy
Jerzy Łuczka
It is shown that the recently proposed quantum analogue of classical energy equipartition theorem for two paradigmatic, exactly solved models (i.e., a free Brownian particle and a…