Contact geometry and thermodynamics

被引：67
作者：
Bravetti, Alessandro [1 ]
机构：
[1] Ctr Invest Matemat AC, Guanajuato 36000, Gto, Mexico
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷
关键词：
Contact geometry; Sasakian geometry; Ruppeiner geometry; contact Hamiltonian systems; thermodynamics; INTEGRABLE (3+1)-DIMENSIONAL SYSTEMS; QUASI-HOMOGENEOUS THERMODYNAMICS; SASAKI-EINSTEIN MANIFOLDS; METRIC GEOMETRY; EQUILIBRIUM THERMODYNAMICS; HAMILTONIAN-STRUCTURE; RIEMANNIAN GEOMETRY; VARIABLES; DYNAMICS; LAW;
D O I：
10.1142/S0219887819400036
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
These are the lecture notes for the course given at the "XXVII International Fall Workshop on Geometry and Physics" held in Seville (Spain) in September 2018. We review the geometric formulation of equilibrium thermodynamics by means of contact geometry, together with the associated metric structures arising from thermodynamic fluctuation theory and the use of Hamiltonian flows to describe thermodynamic processes. Finally, we discuss the state of the art of the subject, its connection with other areas of physics, and suggest several possible further directions.
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页数：51
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