Geometrothermodynamics of van der Waals systems
Quevedo H. Quevedo M.N. Sánchez A.
June 2022Elsevier B.V.
Journal of Geometry and Physics
2022#176
We explore the properties of the equilibrium space of van der Waals thermodynamic systems. We use an invariant representation of the fundamental equation by using the law of corresponding states, which allows us to perform a general analysis for all possible van der Waals systems. The investigation of the equilibrium space is performed by using the Legendre invariant formalism of geometrothermodynamics, which guarantees the independence of the results from the choice of thermodynamic potential. We find all the curvature singularities of the equilibrium space that correspond to first and second order phase transitions. We compare our results with those obtained by using Hessian metrics for the equilibrium space. We conclude that the formalism of geometrothermodynamics allows us to determine the complete phase transition structure of systems with two thermodynamic degrees of freedom.
Geometrothermodynamics , Phase transitions , Van der Waals system
Text of the article Перейти на текст статьи
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Ciudad de México, 04510, Mexico
Dipartimento di Fisica and ICRA, Università di Roma “Sapienza”, Roma, I-00185, Italy
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogotá D.C., Colombia
Departamento de Posgrado, CIIDET, AP752, QRO, Querétaro, 76000, Mexico
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
Institute of Experimental and Theoretical Physics
Departamento de Matemáticas
Departamento de Posgrado
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026