# 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} }

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…

## 4 Citations

### Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

During a random search, resetting the searcher’s position from time to time to the starting point often reduces the mean completion time of the process. Although many different resetting models have…

### Time to reach the maximum for a stationary stochastic process.

- MathematicsPhysical review. E
- 2022

We consider a one-dimensional stationary time series of fixed duration T. We investigate the time t_{m} at which the process reaches the global maximum within the time interval [0,T]. By using a…

### Expediting Feller process with stochastic resetting.

- MathematicsPhysical review. E
- 2022

We explore the effect of stochastic resetting on the first-passage properties of the Feller process. The Feller process can be envisioned as space-dependent diffusion, with diffusion coefficient…

### Non-homogeneous random walks with stochastic resetting: an application to the Gillis model

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2022

We consider the problem of the first passage time to the origin of a spatially non-homogeneous random walk (RW) with a position-dependent drift, known as the Gillis random walk, in the presence of…

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