On a special family of thermodynamic processes and their invariants

被引:36
作者
Mrugala, R [1 ]
机构
[1] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
关键词
contact manifolds; contact vector fields; Legendre submanifolds; thermodynamic invariants;
D O I
10.1016/S0034-4877(00)90012-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A special class of contact transformations treated as thermodynamic processes is considered. The transformations are generated by a class of contact Hamiltonians derived from the fundamental relation and the complete set of equations of state of a system. For any contact Hamiltonian of this class there are derived contact flows and some invariants (if any) of these flows are indicated.
引用
收藏
页码:461 / 468
页数:8
相关论文
共 15 条
[1]  
Abraham R., 1978, Foundations of mechanics
[2]  
[Anonymous], 1987, SYMPLECTIC GEOMETRY
[3]  
Arnold V. I., 1976, MATH METHODS CLASSIC
[4]  
Blair D, 1976, LECT NOTES MATH, P509
[5]  
Callen H. B., 1960, THERMODYNAMICS
[6]  
CHOQUETBRUHAT Y, 1991, ANAL MANIFOLDS PHY 1
[7]  
Hurt N. E., 1983, Geometric Quantization in Action: Applications of Harmonic Analysis in Quantum Statistical Mechanics and Quantum Field Theory
[8]  
Mrugala R., 1991, Reports on Mathematical Physics, V29, P109, DOI 10.1016/0034-4877(91)90017-H
[9]  
MRUGALA R, 2000, PUBLICATIONS RIMS KY, V1142, P167
[10]  
Mrugala R., 1995, TENSOR, V56, P37