Zobrazeno 1 - 10
of 2 330
pro vyhledávání: '"P, Benichou"'
Quantifying the correlations between the position of a tagged tracer and the density of surrounding bath particles is key to understanding tracer diffusion in interacting particle systems. We address this problem analytically for both hard-core and s
Externí odkaz:
http://arxiv.org/abs/2411.09326
The persistence exponent, which characterises the long-time decay of the survival probability of stochastic processes in the presence of an absorbing target, plays a key role in quantifying the dynamics of fluctuating systems. Determining this expone
Externí odkaz:
http://arxiv.org/abs/2410.18699
We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent for the inve
Externí odkaz:
http://arxiv.org/abs/2409.04293
We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a cylinder. W
Externí odkaz:
http://arxiv.org/abs/2409.04289
The symmetric simple exclusion process (SEP) is a paradigmatic model of transport, both in and out-of-equilibrium. In this model, the study of currents and their fluctuations has attracted a lot of attention. In finite systems of arbitrary dimension,
Externí odkaz:
http://arxiv.org/abs/2407.14317
The fractional Brownian motion (fBm) is a paradigmatic strongly non-Markovian process with broad applications in various fields. Despite their importance, the properties of the territory covered by a $d$-dimensional fBm have remained elusive so far.
Externí odkaz:
http://arxiv.org/abs/2407.11655
In this chapter, we review recent results on the starving random walk (RW) problem, a minimal model for resource-limited exploration. Initially, each lattice site contains a single food unit, which is consumed upon visitation by the RW. The RW starve
Externí odkaz:
http://arxiv.org/abs/2406.14248
Publikováno v:
Nat. Com. 15, 7408 (2024)
The Kramers escape problem is a paradigmatic model for the kinetics of rare events, which are usually characterized by Arrhenius law. So far, analytical approaches have failed to capture the kinetics of rare events in the important case of non-Markov
Externí odkaz:
http://arxiv.org/abs/2406.04720
Publikováno v:
Phys. Rev. Lett. 133, 117102 (2024)
The symmetric simple exclusion process (SEP), where diffusive particles cannot overtake each other, is a paradigmatic model of transport in the single-file geometry. In this model, the study of currents has attracted a lot of attention, but so far mo
Externí odkaz:
http://arxiv.org/abs/2404.18481
Self-interacting random walks (SIRWs) show long-range memory effects that result from the interaction of the random walker at time $t$ with the territory already visited at earlier times $t'
Externí odkaz:
http://arxiv.org/abs/2404.15853