Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D
Journal Article
·
· Journal of Chemical Physics
- Federal Univ. of Bahia, Salvador (Brazil). Inst. of Physics
- 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
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