Geometrothermodynamics of van der Waals systems
Por:
Quevedo, Hernando, Quevedo, Maria N., Sanchez, Alberto
Publicada:
1 ene 2022
Resumen:
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. © 2022 Elsevier B.V.
Filiaciones:
Quevedo, Hernando:
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
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, AP 70543, Mexico City 04510, DF, Mexico
Univ Roma Sapienza, Dipartimento Fis, I-00185 Rome, Italy
Univ Roma Sapienza, ICRA, I-00185 Rome, Italy
Al Farabi Kazakh Natl Univ, Inst Expt & Theoret Phys, Alma Ata 050040, Kazakhstan
Quevedo, Maria N.:
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogotá D.C., Colombia
Univ Militar Nueva Granada, Fac Ciencias Basicas, Dept Matemat, Cra 11 101-80, Bogota, Colombia
Sanchez, Alberto:
Departamento de Posgrado, CIIDET, AP752, QRO, Querétaro, 76000, Mexico
CIIDET, Dept Posgrad, AP752, Queretaro 76000, QRO, Mexico
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