On decompositions of non-reversible processes

Manh Hong Duong; Johannes Zimmer

doi:10.1088/1742-6596/2514/1/012007

On decompositions of non-reversible processes

Manh Hong Duong, Johannes Zimmer

Mathematics

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Abstract

We consider fluxes and forces in Markov chains. In physics, the concept of so-called iso-surfaces has recently been introduced. In generic cases, there are infinitely many associated iso-dissipation forces. We first show that this is due to different notions of duality, each giving rise to dual force. We then study Hamiltonians associated to variational formulations of Markov processes, and develop different decompositions for them.

Original language	English
Journal	Journal of Physics: Conference Series
Volume	2514
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/2514/1/012007
Publication status	Published - 1 May 2023
Event	International Workshop on Mathematical Modeling and Scientific Computing - Munich, Germany Duration: 4 Oct 2022 → 7 Oct 2022

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AU - Zimmer, Johannes

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AB - We consider fluxes and forces in Markov chains. In physics, the concept of so-called iso-surfaces has recently been introduced. In generic cases, there are infinitely many associated iso-dissipation forces. We first show that this is due to different notions of duality, each giving rise to dual force. We then study Hamiltonians associated to variational formulations of Markov processes, and develop different decompositions for them.

U2 - 10.1088/1742-6596/2514/1/012007

DO - 10.1088/1742-6596/2514/1/012007

M3 - Conference article

SN - 1742-6588

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JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

T2 - International Workshop on Mathematical Modeling and Scientific Computing

Y2 - 4 October 2022 through 7 October 2022

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On decompositions of non-reversible processes

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