English

Quantum Brownian Motion With Large Friction

Statistical Mechanics 2009-11-10 v2 Mesoscale and Nanoscale Physics

Abstract

Quantum Brownian motion in the strong friction limit is studied based on the exact path integral formulation of dissipative systems. In this limit the time-nonlocal reduced dynamics can be cast into an effective equation of motion, the quantum Smoluchowski equation. For strongly condensed phase environments it plays a similar role as master equations in the weak coupling range. Applications for chemical, mesoscopic, and soft matter systems are discussed and reveal the substantial role of quantum fluctuations.

Keywords

Cite

@article{arxiv.cond-mat/0412352,
  title  = {Quantum Brownian Motion With Large Friction},
  author = {Joachim Ankerhold and Hermann Grabert and Philip Pechukas},
  journal= {arXiv preprint arXiv:cond-mat/0412352},
  year   = {2009}
}

Comments

11 pages, 6 figures, to appear in: Chaos: "100 years of Brownian motion"

R2 v1 2026-07-22T11:11:30.937Z