Replica symmetry breaking in trajectories of a driven Brownian particle

  • SPEAKER : Shin-ichi Sasa
  • INSTITUTE : Kyoto University
  • DATE : October 16(Fri), 2015
  • TIME : 09:30-10:00
  • PLACE : Rm 1503(Bldg#I,5th), Korea Institute for Advanced Study, South Korea
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ABSTRACT : We study a Brownian particle passively driven by a field obeying the noisy Burgers equation. We demonstrate that the system exhibits replica symmetry breaking in the path ensemble with the initial position of the particle being fixed. The key step of the proof is that the path ensemble with a modified boundary condition can be exactly mapped to the canonical ensemble of directed polymers. This work was done in collaboration with M. Ueda. See Phys. Rev. Lett. 115, 080605 (2015) for the detail.

The 3rd East Asia Joint Seminar on Statistical Physics