Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations

Liangrong Peng Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, China, 100084 Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, China, 100084 Liu Hong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, China, 100084

TBD mathscidoc:2204.43010

2018.6
The Onsager's reciprocal relation plays a fundamental role in the nonequilibrium thermodynamics. However, unfortunately, its classical version is valid only within a narrow region near equilibrium due to the linear regression hypothesis, which largely restricts its usage. In this paper, based on the conservation-dissipation formalism, a generalized version of Onsager's relations for the master equations and Fokker-Planck equations was derived. Nonlinear constitutive relations with nonsymmetric and positively stable operators, which become symmetric under the detailed balance condition, constitute key features of this new generalization. Similar conclusions also hold for many other classical models in physics and chemistry, which in turn make the current study as a benchmark for the application of generalized Onsager's relations in nonequilibrium thermodynamics.
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@inproceedings{liangrong2018generalized,
  title={Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations},
  author={Liangrong Peng, Yi Zhu, and Liu Hong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421115115593388087},
  year={2018},
}
Liangrong Peng, Yi Zhu, and Liu Hong. Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations. 2018. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421115115593388087.
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