4 papers
Generalised fractional Rabi problem
Alexander Lopez, Sébastien Fumeron, Malte Henkel +2
Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems. In this work, we analyze the physical conseque…
Generalized diffusion process with nonlocal interactions: Continuous time random walk model and stochastic resetting
Pece Trajanovski, Irina Petreska, Katarzyna Gorska +2
A space fractional diffusion-like equation is introduced, which embodies the nonlocality in time, represented by the memory kernel and the non-locality in space. A specific example…
A resetting particle embedded in a viscoelastic bath
Arup Biswas, Johan L. A. Dubbeldam, Trifce Sandev +1
We examine the behavior of a colloidal particle immersed in a viscoelastic bath undergoing stochastic resetting at a rate . Microscopic probes suspended in viscoelastic environm…
The impact of stochastic resetting on resource allocation: The case of Reallocating geometric Brownian motion
Petar Jolakoski, Pece Trajanovski, Arnab Pal +3
We study the effects of stochastic resetting on the Reallocating geometric Brownian motion (RGBM), an established model for resource redistribution relevant to systems such as popu…