3 papers
cond-mat.stat-mech2020
Levy flights in steep potential wells: Langevin modeling versus direct response to energy landscapes
P. Garbaczewski, M. Zaba
We investigate the non-Langevin relative of the Lévy-driven Langevin random system, under an assumption that both systems share a common (asymptotic, stationary, steady-state) targ…
cond-mat.stat-mech2019
Brownian motion in trapping enclosures: Steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials
Piotr Garbaczewski, Mariusz Zaba
We investigate signatures of convergence for a sequence of diffusion processes on a line, in conservative force fields stemming from superharmonic potentials , $m=2n…
quant-ph2016
Lévy flights in the infinite potential well as the hypersingular Fredholm problem
Elena V. Kirichenko, Piotr Garbaczewski, Vladimir Stephanovich +1
We study Lévy flights {with arbitrary index } inside a potential well of infinite depth. Such problem appears in many physical systems ranging from stochastic interface…