TY - JOUR

T1 - Toward formal analysis of thermodynamic stability: Le Chatelier—Brown principle

AU - Gromov, Dmitry

AU - Toikka, Alexander

N1 - Funding Information: Funding: This research was supported by Russian Foundation for Basic Research (project number 19-03-00375).

PY - 2020/10

Y1 - 2020/10

N2 - In this contribution, we carry on with the research program initiated in J. Math. Chem., 58(6), 2020. Using the methods from geometric thermodynamics, we formally derive and analyze different conditions for thermodynamic stability and determine the limits of their use. In particular, we study, in detail, several versions of the Le Chatelier—Brown principle and demonstrate their application to the analysis of thermodynamic stability.

AB - In this contribution, we carry on with the research program initiated in J. Math. Chem., 58(6), 2020. Using the methods from geometric thermodynamics, we formally derive and analyze different conditions for thermodynamic stability and determine the limits of their use. In particular, we study, in detail, several versions of the Le Chatelier—Brown principle and demonstrate their application to the analysis of thermodynamic stability.

KW - Equilibrium thermodynamics

KW - Geometric thermodynamics

KW - Gibbs stability condition

KW - Implicit function theorem

KW - Le Chatelier—Brown principle

KW - Stability condition

UR - http://www.scopus.com/inward/record.url?scp=85092764319&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ba76646b-eb6b-3b02-b5b1-7d1dece8ddac/

U2 - 10.3390/e22101113

DO - 10.3390/e22101113

M3 - Article

AN - SCOPUS:85092764319

VL - 22

SP - 1

EP - 16

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 10

M1 - 1113

ER -