Accession Number : AD0428952

Title :   THE STATISTICAL THERMODYNAMICS OF EQUILIBRIUM,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE RESEARCH LAB OF ELECTRONICS

Personal Author(s) : Tisza,Laszlo ; Quay,Paul M.

Report Date : 21 JAN 1963

Pagination or Media Count : 43

Abstract : A statistical thermodynamics is developed in terms of extensive variables (additive invariants) distributed over a cellular division in space. In general, this distribution is governed by randomness and by correlations. The present theory, however, deals explicitly only with randomness, although correlations are implicit in the so-called fixed variables of the system. Because of this restriction, the theory is valid only for the fluctuations of coupled systems that have reached their equilibrium; hence we call it the statistical thermodynamics of equilibrium, briefly STE. A set of postulates is advanced, the essence of which is the requirement that distribution functions (df) exist for two basic coupling situations. It is implicit that the system has a memory-loss mechanism; and the df does not depend on past history (ergodic property). Such qualitative assumptions are sufficient to derive the Gibbsian df's in their quantitative form. These df's describe the coupling of finite systems with infinite environments and can be used to analyze typical situations of measurement by the methods of mathematical statistics. The present point of view sheds some new light on the the ergodic problem and on the role of Nernst's law in completing the the definition of thermodynamic equilibrium. (Author)

Descriptors :   (*STATISTICAL MECHANICS, THERMODYNAMICS), THEORY, QUANTUM STATISTICS, PROBABILITY, ENTROPY, FUNCTIONS(MATHEMATICS), STATISTICAL DISTRIBUTIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE