Fundamentals of Statistical and Thermal Physics, Volume 10This book is devoted to a discussion of some of the basic physical concepts and methods useful in the description of situations involving systems which consist of very many particulars. It attempts, in particular, to introduce the reader to the disciplines of thermodynamics, statistical mechanics, and kinetic theory from a unified and modern point of view. The presentation emphasizes the essential unity of the subject matter and develops physical insight by stressing the microscopic content of the theory. |
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Results 1-3 of 65
Page 98
... maximum as a function of E , and this maximum of the logarithm corresponds to a very pronounced maximum of P itself . Except for the fact that this maximum is enormously sharper for these macro- scopic systems where 2 and 2 ' are such ...
... maximum as a function of E , and this maximum of the logarithm corresponds to a very pronounced maximum of P itself . Except for the fact that this maximum is enormously sharper for these macro- scopic systems where 2 and 2 ' are such ...
Page 109
... maximum of N ( E ) N ′ ( E ' ) it follows by ( 3-3-8 ) that BB ' , so that the term linear in n vanishes as it should . Hence ( 3.7.7 ) yields for ( 3-3-8 ) the result In P ( E ) In P ( E ) — λon2 = - Ελη or where P ( E ) = = P ( Ē ) e ...
... maximum of N ( E ) N ′ ( E ' ) it follows by ( 3-3-8 ) that BB ' , so that the term linear in n vanishes as it should . Hence ( 3.7.7 ) yields for ( 3-3-8 ) the result In P ( E ) In P ( E ) — λon2 = - Ελη or where P ( E ) = = P ( Ē ) e ...
Page 291
... maximum , i.e. , where S ( y ) is maximum . In equilibrium the relative probability of the occurrence of a fluctuation where yỹ is then given by ( 8 ∙ 1 · 6 ) as P ( y ) Pmax = e AmS / k ( 8.1.7 ) where AmS = S ( y ) Smax . The ...
... maximum , i.e. , where S ( y ) is maximum . In equilibrium the relative probability of the occurrence of a fluctuation where yỹ is then given by ( 8 ∙ 1 · 6 ) as P ( y ) Pmax = e AmS / k ( 8.1.7 ) where AmS = S ( y ) Smax . The ...
Contents
Introduction to statistical methods | 1 |
GENERAL DISCUSSION OF THE RANDOM WALK | 24 |
Statistical description of systems of particles | 47 |
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accessible amount approximation assume atoms becomes calculate called classical collision condition Consider consisting constant container corresponding course d³v defined denote depends derivatives described direction discussion distribution electrons energy ensemble entropy equal equation equilibrium evaluated example expression external field final follows force function given gives heat Hence ideal illustrated increase independent integral interaction interest internal involving liquid macroscopic magnetic mass maximum mean mean energy measured mechanics method molecules momentum Note obtains parameter particles particular partition phase physical position possible pressure probability problem properties quantity quantum quantum mechanics range relation relative remain reservoir respect result satisfy shows simply situation solid specific statistical steps sufficiently Suppose temperature theory thermal Thermodynamics tion unit variables velocity volume write written yields