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Title: Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D

The trajectories of two particles undergoing Langevin dynamics while sharing a common noise sequence can merge into a single (master) trajectory. In this paper, we present an exact solution for a particle undergoing Langevin dynamics in a harmonic, time-dependent potential, thus extending the idea of synchronization to nonequilibrium systems. We calculate the synchronization level, i.e., the mismatch between two trajectories sharing a common noise sequence, in the underdamped, critically damped, and overdamped regimes. In conclusion, we provide asymptotic expansions in various limiting cases and compare to the time independent case.
 [1] ;  [2]
  1. Federal Univ. of Bahia, Salvador (Brazil). Inst. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
Journal ID: ISSN 0021-9606
Grant/Contract Number:
AC52-06NA25396; SFRH/BPD/34375/2007
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 148; Journal Issue: 8; Journal ID: ISSN 0021-9606
American Institute of Physics (AIP)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Federal Univ. of Bahia, Salvador (Brazil)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA); Foundation for Science and Technology (FCT) (Portugal); Calouste Gulbenkian Foundation (Portugal)
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; oscillators; thermal instruments; elasticity; thermodynamics; electronic devices; numerical modeling; friction; chemical compounds
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1422660