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 4
... ensemble " ) consisting of a very large number N of similarly prepared systems . The prob- ability of occurrence of a particular event is then defined with respect to this particular ensemble and is given by the fraction of systems in ...
... ensemble " ) consisting of a very large number N of similarly prepared systems . The prob- ability of occurrence of a particular event is then defined with respect to this particular ensemble and is given by the fraction of systems in ...
Page 52
... ensemble consisting of a very large number of identical systems , all prepared subject to whatever conditions are specified as known . The systems in this ensemble will , in general , be in different states and will , therefore , also ...
... ensemble consisting of a very large number of identical systems , all prepared subject to whatever conditions are specified as known . The systems in this ensemble will , in general , be in different states and will , therefore , also ...
Page 583
... ensemble , the function y ( t ) can thus be repre- sented by its corresponding Fourier coefficient C ( * ) ( w ) given by ( 15 ∙ 13 · 4 ) . 15.14 Ensemble and time averages The ... ENSEMBLE AND TIME AVERAGES 583 Ensemble and time averages.
... ensemble , the function y ( t ) can thus be repre- sented by its corresponding Fourier coefficient C ( * ) ( w ) given by ( 15 ∙ 13 · 4 ) . 15.14 Ensemble and time averages The ... ENSEMBLE AND TIME AVERAGES 583 Ensemble and time averages.
Contents
Introduction to statistical methods | 1 |
GENERAL DISCUSSION OF THE RANDOM WALK | 24 |
Statistical description of systems of particles | 47 |
Copyright | |
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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