Please use this identifier to cite or link to this item: https://doi.org/10.1143/JPSJ.79.074402
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dc.titleErgodicity of the stochastic Nosé-Hoover heat bath
dc.contributor.authorLo, W.C.
dc.contributor.authorLi, B.
dc.date.accessioned2014-10-16T09:24:22Z
dc.date.available2014-10-16T09:24:22Z
dc.date.issued2010-07
dc.identifier.citationLo, W.C., Li, B. (2010-07). Ergodicity of the stochastic Nosé-Hoover heat bath. Journal of the Physical Society of Japan 79 (7) : -. ScholarBank@NUS Repository. https://doi.org/10.1143/JPSJ.79.074402
dc.identifier.issn00319015
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96518
dc.description.abstractWe numerically study the ergodicity of the stochastic Nosé-Hoover heat bath whose formalism is based on the Markovian approximation for the Nosé-Hoover equation [J. Phys. Soc. Jpn.77(2008)103001]. The approximation leads to a Langevin-like equation driven by a fluctuating dissipative force and multiplicative Gaussian white noise. The steady state solution of the associated Fokker-Planck equation is the canonical distribution. We investigate the dynamics of this method for the case of (i) free particle, (ii) nonlinear oscillators and (iii) lattice chains. We derive the Fokker-Planck equation for the free particle and present approximate analytical solution for the stationary distribution in the context of the Markovian approximation. Numerical simulation results for nonlinear oscillators show that this method results in a Gaussian distribution for the particles velocity. We also employ the method as heat baths to study nonequilibrium heat flow in one-dimensional Fermi-Pasta-Ulam (FPU-β) and Frenkel-Kontorova (FK) lattices. The establishment of well-defined temperature profiles are observed only when the lattice size is large. Our results provide numerical justification for such Markovian approximation for classical single-and many-body systems. © 2010 The Physical Society of Japan.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1143/JPSJ.79.074402
dc.sourceScopus
dc.subjectFokker-Planck equation
dc.subjectMarkovian approximation
dc.subjectMultiplicative noise
dc.subjectNosé-Hoover equation
dc.subjectStochastic process
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1143/JPSJ.79.074402
dc.description.sourcetitleJournal of the Physical Society of Japan
dc.description.volume79
dc.description.issue7
dc.description.page-
dc.description.codenJUPSA
dc.identifier.isiut000280096900023
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