Freezing transitions of Brownian particles in confining potentials

  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},
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

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