A time–energy uncertainty relation in chemical thermodynamics | Zendy

Katsuaki Tanabe | Zendy

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A time–energy uncertainty relation in chemical thermodynamics

Author(s) -

Katsuaki Tanabe

Publication year - 2022

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/5.0084251

Subject(s) - brusselator , thermodynamics , chemical thermodynamics , gibbs free energy , thermodynamic free energy , second law of thermodynamics , fundamental thermodynamic relation , energy (signal processing) , statistical physics , physics , relation (database) , chemistry , non equilibrium thermodynamics , quantum mechanics , computer science , nonlinear system , database

An analogy between the thermodynamic inequalities presented by Nicholson et al. [Nat. Phys. 16, 1211 (2020)] and by Yoshimura and Ito [Phys. Rev. Res. 3, 013175 (2021)] is discussed. As a result, a time–energy uncertainty relation in chemical thermodynamics in terms of Gibbs free energy and chemical potential is derived. It is numerically demonstrated that the uncertainly relation holds in a model system of oscillatory Brusselator reactions. Our result bridges the thermodynamic time–information uncertainty relation and free energy evolution in chemical reactions.

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