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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Page 52
... and total energy , which characterize the system as a whole . ( For the sake of brevity m is denoted simply by + , and m - by- . ) = L State index r Quantum numbers Total magnetic Total M1 52 2.2 SECTION Statistical ensemble.
... and total energy , which characterize the system as a whole . ( For the sake of brevity m is denoted simply by + , and m - by- . ) = L State index r Quantum numbers Total magnetic Total M1 52 2.2 SECTION Statistical ensemble.
Page 211
... statistical ensemble consists of a very large number a of such systems , a , of which are in state r . Then the informa- tion available to us is that ἆΣ Φ.Ε. = Ē equals the specified mean energy . Σα , Ε . = - Thus it follows that aĒ ...
... statistical ensemble consists of a very large number a of such systems , a , of which are in state r . Then the informa- tion available to us is that ἆΣ Φ.Ε. = Ē equals the specified mean energy . Σα , Ε . = - Thus it follows that aĒ ...
Page 212
... ensemble . Accordingly , one gets again the canonical distribution P , α e - BE , ( 6.4.2 ) = The parameter 8 ( a ln ... ensemble When a system A is in thermal contact with a heat reservoir as in Sec . 6-2 , or when only its mean energy is ...
... ensemble . Accordingly , one gets again the canonical distribution P , α e - BE , ( 6.4.2 ) = The parameter 8 ( a ln ... ensemble When a system A is in thermal contact with a heat reservoir as in Sec . 6-2 , or when only its mean energy is ...
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