Skip to content
DraconiticResearch
Search Sources API
189,273 studies31 sourcesUpdated just now
PreprintCC BY 4.0arXiv

Nonequilibrium stochastic thermodynamics of boundary functionals: From Zubarev's ensemble to stochastic particle separation

  • V. V. Ryazanov
Open at sourcePDFDOICite

Abstract

This paper develops a generalization of Zubarev's nonequilibrium statistical operator method for the case of simultaneous inclusion of additive and nonlocal boundary functionals of trajectories. Using a unified thermodynamic approach, a three-parameter model of nonequilibrium systems is constructed, including the first-passage time, the dwell time above a given level, and the absolute extremum of the process. A correspondence is demonstrated between the maximum information entropy method for trajectories and the Donsker-Varadan large deviation formalism. Using the Doob`s h-transform, it is demonstrated that fixing extremal functionals of history induces efficient non-Markovian transport in the system with dynamic adaptation to historical records. Criteria for the applicability of the developed apparatus in the "large time" domain and the possibilities of its use for optimizing stochastic particle separation in periodic potentials are discussed.

Related

  1. Nonequilibrium distribution for stochastic thermodynamics
    Jean-Luc Garden
    Physical Review EPeer-reviewedPublisher termsFull textStatistical & nonlinear physicsHAL
  2. Nonequilibrium Thermodynamics of Semilinear Stochastic Partial Differential Equations
    Zelin Liu, Hao Ge
    arXivPreprintarXiv licenceFull textMathematical physicsProbabilityarXiv
  3. Information Entropy and Dissipation Potential in Stochastic Nambu Nonequilibrium Thermodynamics
    So Katagiri, Tatsuaki Wada
    arXivPreprintarXiv licenceFull textStatistical & nonlinear physicsarXiv
  4. Thermodynamics of the space of trajectories governed by a combination of two additive boundary functionals
    V. V. Ryazanov
    arXivPreprintCC BY 4.0Full textMathematical physicsBiological & medical physicsarXiv
  5. Nonequilibrium Apparent-Horizon Thermodynamics in Effective Loop Quantum Cosmology
    Xiao Liu
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{ryazanov2026nonequilibrium,
  title = {{Nonequilibrium stochastic thermodynamics of boundary functionals: From Zubarev's ensemble to stochastic particle separation}},
  author = {V. V. Ryazanov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08477},
  eprint = {2609.08477},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08477},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonequilibrium stochastic thermodynamics of boundary functionals: From Zubarev's ensemble to stochastic particle separation
AU  - V. V. Ryazanov
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08477
UR  - https://arxiv.org/abs/2609.08477
AB  - This paper develops a generalization of Zubarev's nonequilibrium statistical operator method for the case of simultaneous inclusion of additive and nonlocal boundary functionals of trajectories. Using a unified thermodynamic approach, a three-parameter model of nonequilibrium systems is constructed, including the first-passage time, the dwell time above a given level, and the absolute extremum of the process. A correspondence is demonstrated between the maximum information entropy method for trajectories and the Donsker-Varadan large deviation formalism. Using the Doob`s h-transform, it is demonstrated that fixing extremal functionals of history induces efficient non-Markovian transport in the system with dynamic adaptation to historical records. Criteria for the applicability of the developed apparatus in the "large time" domain and the possibilities of its use for optimizing stochastic particle separation in periodic potentials are discussed.
ER  -