Double density dynamics : realizing a joint distribution of a physical system and a parameter system

• Moritsugu, Kei

• Fukuda, Ikuo

抄録

This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A : Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://doi.org/10.1088/1751-8113/48/45/455001.

We create a deterministic method, double density dynamics, to realize an arbitrary distribution for both physical variables and associated parameters simultaneously. We specifically construct an ordinary differential equation that has an invariant density relating to a joint distribution of the physical system and parameter system. For a temperature parameter, a generalized temperature function leads to a physical system that develops under nonequilibrium temperature describing superstatistics. The joint distribution density of the physical system and temperature system appears as the Radon-Nikodym derivative of a distribution that is created by a scaled long-time average generated from the flow of the differential equation under an ergodic assumption. These ideas are based on the density dynamics molecular dynamics method and utilized for effciently simulating physical systems in nonequilibrium. Along with general mathematical framework for aiming at further applications, specific settings of required functions together with associated numerical example for 1-D harmonic oscillator are given.

収録刊行物

• Journal of Physics A : Mathematical and Theoretical

  Journal of Physics A : Mathematical and Theoretical 48 (45), 455001-, 2015

詳細情報

• CRID: 1050018218950065152
• NII論文ID: 120005596269
• ISSN: 17518121
• ISSN: 17518113
• HANDLE: 11094/51498
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles