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 8
... Boltzmann equation in the absence of collisions 498 13.3 Path integral formulation 502 13.4 Example : calculation of electrical conductivity 13.5 Example : calculation of viscosity 13.6 Boltzmann differential equation formulation 13.7 ...
... Boltzmann equation in the absence of collisions 498 13.3 Path integral formulation 502 13.4 Example : calculation of electrical conductivity 13.5 Example : calculation of viscosity 13.6 Boltzmann differential equation formulation 13.7 ...
Page 511
... Boltzmann equation ( 13.6.3 ) , provided that the relaxation time 70 introduced there is identified with the ordinary mean time T between molecular collisions . We shall therefore henceforth write 70 = 7 in the Boltzmann equation ( 13.6 ...
... Boltzmann equation ( 13.6.3 ) , provided that the relaxation time 70 introduced there is identified with the ordinary mean time T between molecular collisions . We shall therefore henceforth write 70 = 7 in the Boltzmann equation ( 13.6 ...
Page 535
... Boltzmann equation ( 14.7 · 1 ) to zero . That is , Df ( 0 ) 0 , unless n , ß , and u are independ- ent of r and t . Only then would f ) be a genuine , rather than merely a local , equilibrium distribution function satisfying the Boltzmann ...
... Boltzmann equation ( 14.7 · 1 ) to zero . That is , Df ( 0 ) 0 , unless n , ß , and u are independ- ent of r and t . Only then would f ) be a genuine , rather than merely a local , equilibrium distribution function satisfying the Boltzmann ...
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 measured mechanics method mole 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