The energy pump and the origin of the non-equilibrium flux of the dynamical systems and the networks

The Journal of Chemical Physics
Liufang XuJin Wang

Abstract

The global stability of dynamical systems and networks is still challenging to study. We developed a landscape and flux framework to explore the global stability. The potential landscape is directly linked to the steady state probability distribution of the non-equilibrium dynamical systems which can be used to study the global stability. The steady state probability flux together with the landscape gradient determines the dynamics of the system. The non-zero probability flux implies the breaking down of the detailed balance which is a quantitative signature of the systems being in non-equilibrium states. We investigated the dynamics of several systems from monostability to limit cycle and explored the microscopic origin of the probability flux. We discovered that the origin of the probability flux is due to the non-equilibrium conditions on the concentrations resulting energy input acting like non-equilibrium pump or battery to the system. Another interesting behavior we uncovered is that the probabilistic flux is closely related to the steady state deterministic chemical flux. For the monostable model of the kinetic cycle, the analytical expression of the probabilistic flux is directly related to the deterministic flux, and t...Continue Reading

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Citations

Aug 20, 2014·The Journal of Chemical Physics·Luciana Renata de OliveiraGastone C Castellani
Sep 18, 2014·Proceedings of the National Academy of Sciences of the United States of America·Chunhe Li, Jin Wang
Nov 18, 2018·The Journal of Chemical Physics·Anna TerebusJie Liang
Jun 10, 2020·Annual Review of Chemical and Biomolecular Engineering·Luca AgozzinoKen A Dill
Jan 10, 2018·The Journal of Physical Chemistry. B·Kun Zhang, Jin Wang

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