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 18
... obtains or - — y2 · · · ) = e ̄N ( y− } y2 • • • ) InfNy f which is valid as long as y 1 . Expanding In W in Taylor's series , one obtains In W ( ni ) 3 = In W ( ñ1 ) + B1n + B2n2 + B3ñ3 + · · · ( 1.5.4 ) where Bk = d * In W dnik ( 1.5 ...
... obtains or - — y2 · · · ) = e ̄N ( y− } y2 • • • ) InfNy f which is valid as long as y 1 . Expanding In W in Taylor's series , one obtains In W ( ni ) 3 = In W ( ñ1 ) + B1n + B2n2 + B3ñ3 + · · · ( 1.5.4 ) where Bk = d * In W dnik ( 1.5 ...
Page 109
... obtains from ( 3.5.5 ) λ = - ( - f = > 0 E2 ( 3.7.11 ) The preceding discussion leads to several interesting remarks . In Sec . 2.3 we concluded from the general behavior of the densities of states of the interacting systems that the ...
... obtains from ( 3.5.5 ) λ = - ( - f = > 0 E2 ( 3.7.11 ) The preceding discussion leads to several interesting remarks . In Sec . 2.3 we concluded from the general behavior of the densities of states of the interacting systems that the ...
Page 156
... obtain an expression for the molar specific heat cv at constant volume . Then dV 0 and ( 5.2.1 ) reduces simply to · = đQ = dE Hence one obtains 1 / dQ Cy = V dT · ÷ ( 12 ) - ( 37 ) , 1 / aE = V ( 5-2-2 ) The specific heat cv may itself ...
... obtain an expression for the molar specific heat cv at constant volume . Then dV 0 and ( 5.2.1 ) reduces simply to · = đQ = dE Hence one obtains 1 / dQ Cy = V dT · ÷ ( 12 ) - ( 37 ) , 1 / aE = V ( 5-2-2 ) The specific heat cv may itself ...
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