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

Abstract

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.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Federal Univ. of Bahia, Salvador (Brazil). Inst. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Federal Univ. of Bahia, Salvador (Brazil)
Sponsoring Org.:
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)
OSTI Identifier:
1463502
Alternate Identifier(s):
OSTI ID: 1422660
Report Number(s):
LA-UR-18-21972
Journal ID: ISSN 0021-9606
Grant/Contract Number:  
AC52-06NA25396; SFRH/BPD/34375/2007
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 148; Journal Issue: 8; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; oscillators; thermal instruments; elasticity; thermodynamics; electronic devices; numerical modeling; friction; chemical compounds

Citation Formats

Cadilhe, A., and Voter, Arthur F. Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D. United States: N. p., 2018. Web. doi:10.1063/1.5016632.
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Cadilhe, A., & Voter, Arthur F. Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D. United States. https://doi.org/10.1063/1.5016632
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Cadilhe, A., and Voter, Arthur F. Mon . "Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D". United States. https://doi.org/10.1063/1.5016632. https://www.osti.gov/servlets/purl/1463502.
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@article{osti_1463502,
title = {Langevin synchronization in a time-dependent, harmonic basin: An exact solution in 1D},
author = {Cadilhe, A. and Voter, Arthur F.},
abstractNote = {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.},
doi = {10.1063/1.5016632},
journal = {Journal of Chemical Physics},
number = 8,
volume = 148,
place = {United States},
year = {Mon Feb 26 00:00:00 EST 2018},
month = {Mon Feb 26 00:00:00 EST 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1063/1.5016632
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Figures / Tables:

FIG. 1 FIG. 1: Schematic of pairs of trajectories merging into a master trajectory for the (a) time-independent and (b) time-dependent potentials. The vertical (blue) lines represent guides indicative of the typical bounds for a trajectory evolving in the basin at a given temperature, T. The synchronization level is computed as themore » driven system crosses ω0 at time t∗, where the two potentials become equivalent, i.e., they possess the same curvature.« less
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Works referenced in this record:

The simulation of random processes on digital computers: Unavoidable order
journal, March 1983

Chaos, noise, and synchronization
journal, March 1994

Nonlocality of relaxation rates in disordered landscapes
journal, February 2017

  • Li, Yunyun; Debnath, Debajyoti; Ghosh, Pulak K.
  • The Journal of Chemical Physics, Vol. 146, Issue 8
  • DOI: 10.1063/1.4976844

A possible classification of nonequilibrium steady states
journal, May 2006

Exact Solution of an Irreversible One-Dimensional Model with Fully Biased spin Exchanges
journal, November 1996

  • Cadilhe, AntÓNio M. R.; Privman, Vladimir
  • International Journal of Modern Physics B, Vol. 10, Issue 25
  • DOI: 10.1142/s0217979296001847

Bad Seeds Sprout Perilous Dynamics: Stochastic Thermostat Induced Trajectory Synchronization in Biomolecules
journal, April 2009

  • Sindhikara, Daniel J.; Kim, Seonah; Voter, Arthur F.
  • Journal of Chemical Theory and Computation, Vol. 5, Issue 6
  • DOI: 10.1021/ct800573m

Transition from chaotic to nonchaotic behavior in randomly driven systems
journal, August 1992

Recycled noise rectification: An automated Maxwell’s daemon
journal, September 2006

Control coherence resonance by noise recycling
journal, February 2009

Locally disrupted synchronization in Langevin molecular dynamics
journal, August 2012

Stochastic resonance
journal, January 1998

The parallel replica dynamics method – Coming of age
journal, April 2015

The Fokker-Planck Equation
book, January 1996

Parallel replica dynamics for driven systems: Derivation and application to strained nanotubes
journal, January 2007

Stochastic synchronization via noise recycling
journal, April 2007

Synchronization induced by Langevin dynamics
journal, May 2001

Synchronization of trajectories in canonical molecular-dynamics simulations: Observation, explanation, and exploitation
journal, April 2004

  • Uberuaga, Blas P.; Anghel, Marian; Voter, Arthur F.
  • The Journal of Chemical Physics, Vol. 120, Issue 14
  • DOI: 10.1063/1.1667473

Molecular dynamics simulations at constant pressure and/or temperature
journal, February 1980

  • Andersen, Hans C.
  • The Journal of Chemical Physics, Vol. 72, Issue 4
  • DOI: 10.1063/1.439486

Roundoff-induced coalescence of chaotic trajectories
journal, September 1996

  • Longa, Lech; Curado, Evaldo M. F.; Oliveira, Fernando A.
  • Physical Review E, Vol. 54, Issue 3
  • DOI: 10.1103/physreve.54.r2201
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