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

Journal Article · 26 February 2018 · Journal of Chemical Physics

DOI: https://doi.org/10.1063/1.5016632 · OSTI ID:1463502

Cadilhe, A. ^[1]; Voter, Arthur F. ^[2]

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1. Federal Univ. of Bahia, Salvador (Brazil). Inst. of Physics
2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Federal Univ. of Bahia, Salvador (Brazil)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA); Foundation for Science and Technology (FCT) (Portugal); Calouste Gulbenkian Foundation (Portugal)
• Grant/Contract Number: AC52-06NA25396; SFRH/BPD/34375/2007
• OSTI ID: 1463502
• Alternate ID(s): OSTI ID: 1422660
• Report Number(s): LA-UR-18-21972
• Journal Information: Journal of Chemical Physics, Vol. 148, Issue 8; ISSN 0021-9606
• Publisher: American Institute of Physics (AIP)Copyright Statement
• Country of Publication: United States
• Language: English