56 citations · 187 across the 12 of their papers we have counts for
11 papers · 1 filter
Sokoban Random Walk: A Trapping Perspective
Prashant Singh, Eli Barkai, David A Kessler
We study caging/trapping in Sokoban-type models, featuring a random walker moving through a disordered medium of obstacles and capable of pushing some obstacles blocking its path.…
Transition in Splitting Probabilities of Quantum Walks
Prashant Singh, David A. Kessler, Eli Barkai
We investigate the splitting probability of a monitored continuous-time quantum walk with two targets and show that, in stark contrast to a classical random walk, it exhibits a non…
Sokoban Random Walk: From Environment Reshaping to Trapping Crossover
Prashant Singh, David A. Kessler, Eli Barkai
We study the dynamics of a Sokoban random walker moving in a disordered medium with obstacle density . In contrast to the classic model of de Gennes with static obstacles that e…
Solutions of first passage times problems: a biscaling approach
Talia Baravi, David A. Kessler, Eli Barkai
We study the first-passage time (FPT) problem for widespread recurrent processes in confined though large systems and present a comprehensive framework for characterizing the FPT d…
A tale of three approaches: dynamical phase transitions for weakly bound Brownian particles
Lucianno Defaveri, Eli Barkai, David A. Kessler
We investigate a system of Brownian particles weakly bound by attractive parity-symmetric potentials that grow at large distances as , with . The probabi…
Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems
Quancheng Liu, Sabine Tornow, David A. Kessler +1
Recurrence time quantifies the duration required for a physical system to return to its initial state, playing a pivotal role in understanding the predictability of complex systems…
First passage times in compact domains exhibit bi-scaling
Talia Baravi, David A. Kessler, Eli Barkai
The study of first passage times for diffusing particles reaching target states is foundational in various practical applications, including diffusion-controlled reactions. In this…
Quantum Renewal Equation for the first detection time of a quantum walk
H. Friedman, D. A. Kessler, E. Barkai
We investigate the statistics of the first detected passage time of a quantum walk. The postulates of quantum theory, in particular the collapse of the wave function upon measureme…
Superaging correlation function and ergodicity breaking for Brownian motion in logarithmic potentials
A. Dechant, E. Lutz, D. A. Kessler +1
We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analyti…
Solution of the Fokker-Planck equation with a logarithmic potential
A. Dechant, E. Lutz, E. Barkai +1
We investigate the diffusion of particles in an attractive one-dimensional potential that grows logarithmically for large using the Fokker-Planck equation. An eigenfunction e…
Fluctuations of time averages for Langevin dynamics in a binding force field
A. Dechant, E. Lutz, D. A. Kessler +1
We derive a simple formula for the fluctuations of the time average around the thermal mean for overdamped Brownian motion in a binding potential U(x). Using a backward Fokker-Plan…