The Physics and Mathematics of the Second Law of Thermodynamics

作者: Elliott H. Lieb , Jakob Yngvason

DOI: 10.1016/S0370-1573(98)00082-9

关键词:

摘要: The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as principle increase entropy in irreversible adiabatic processes that take one equilibrium state to another. constructed here defined only for states and no attempt made define it otherwise. Statistical mechanics does not enter these considerations. One main concepts makes everything work comparison (which, essence, given any two same chemical composition at least adiabatically accessible other) we show can be derived some assumptions about pressure thermal equilibrium. Temperature entropy, but start even concept `hotness' assumed. Our formulation offers a certain clarity rigor goes beyond most textbook discussions law.

参考文章(37)
Richard Arens, An axiomatic basis for classical thermodynamics Journal of Mathematical Analysis and Applications. ,vol. 6, pp. 207- 229 ,(1963) , 10.1016/0022-247X(63)90005-2
B. Bernstein, Proof of Carathéodory's Local Theorem and Its Global Application to Thermostatics Journal of Mathematical Physics. ,vol. 1, pp. 222- 224 ,(1960) , 10.1063/1.1703655
H.-J. Borchers, Some remarks on the second law of thermodynamics Reports on Mathematical Physics. ,vol. 22, pp. 29- 48 ,(1985) , 10.1016/0034-4877(85)90004-7
J. B. Boyling, Carathéodory's principle and the existence of global integrating factors Communications in Mathematical Physics. ,vol. 10, pp. 52- 68 ,(1968) , 10.1007/BF01654133
An axiomatic approach to classical thermodynamics Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 329, pp. 35- 70 ,(1972) , 10.1098/RSPA.1972.0100
H. A. Buchdahl, Entropy concept and ordering of states. I European Physical Journal. ,vol. 168, pp. 316- 321 ,(1962) , 10.1007/BF01384324
H A Buchdahl, On the redundancy of the zeroth law of thermodynamics Journal of Physics A. ,vol. 19, ,(1986) , 10.1088/0305-4470/19/9/019
C. Carath�odory, Untersuchungen über die Grundlagen der Thermodynamik Mathematische Annalen. ,vol. 67, pp. 355- 386 ,(1909) , 10.1007/BF01450409