Freezing transitions of Brownian particles in confining potentials

@article{MercadoVsquez2022FreezingTO,
title={Freezing transitions of Brownian particles in confining potentials},
author={Gabriel Mercado-V{\'a}squez and Denis Boyer and Satya N. Majumdar},
journal={Journal of Statistical Mechanics: Theory and Experiment},
year={2022},
volume={2022}
}
• Published 4 May 2022
• Mathematics
• Journal of Statistical Mechanics: Theory and Experiment
We study the mean first passage time (MFPT) to an absorbing target of a one-dimensional Brownian particle subject to an external potential v(x) in a finite domain. We focus on the cases in which the external potential is confining, of the form v(x) = k|x − x 0| n /n, and where the particle’s initial position coincides with x 0. We first consider a particle between an absorbing target at x = 0 and a reflective wall at x = c. At fixed x 0, we show that when the target distance c exceeds a…
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References

SHOWING 1-10 OF 61 REFERENCES

• Physics
Journal of Statistical Mechanics: Theory and Experiment
• 2021
We consider motion of an overdamped Brownian particle subject to stochastic resetting in one dimension. In contrast to the usual setting where the particle is instantaneously reset to a preferred
• Physics
Journal of Statistical Mechanics: Theory and Experiment
• 2020
We study the non-equilibrium steady states (NESS) and first passage properties of a Brownian particle with position X subject to an external confining potential of the form V(X) = μ|X|, and that is
• Mathematics
Physical review. E
• 2019
Interestingly, it is found that for a sufficiently strong external potential, the advantageous optimal resetting rate r_{*} vanishes with a deviation from the critical strength of the potential as a power law with an exponent β which appears to be universal.
• Physics, Mathematics
Physical review letters
• 2020
It is shown that the freezing transition occurs when in the associated quantum problem, the gap between the ground state (bound) and the continuum of scattering states vanishes.
• Physics
Journal of Physics A: Mathematical and Theoretical
• 2020
We study Brownian motion in a confining potential under a constant-rate resetting to a reset position x 0. The relaxation of this system to the steady-state exhibits a dynamic phase transition, and
• Mathematics
• 2011
We consider the mean time to absorption by an absorbing target of a diffusive particle with the addition of a process whereby the particle is reset to its initial position with rate r. We consider
• Physics, Mathematics
Physical review. E
• 2021
A very good agreement is found between theoretical predictions and experimental results obtained with a Brownian bead whose diffusion is initialized by an optical trap which determines the initial distribution g(x_{0}/σ), and this transition is robust.
• Mathematics
Physical review. E
• 2019
A comprehensive study of the first-passage properties of the Brownian particle diffusing in a one-dimensional interval with absorbing end points and shows how this set-up is a manifestation of a success-failure problem.
• Computer Science
• 2020
The optimal mean first-passage time as a function of the resetting period/rate for different values of the ratio b = L/$\sigma$ is studied and an interesting phase transtion at a critical value b = bc is found.
• Prashant Singh
• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2020
We consider the motion of a randomly accelerated particle in one dimension under stochastic resetting mechanism. Denoting the position and velocity by x and v respectively, we consider two different