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 224
... integrand in ( 6 · 8 · 11 ) is only appreciable for ß ' ≈ 0 , one can in the significant domain of integration ... integrand to contribute most significantly to the integral in the immediate vicinity of B ' 0 where the expansion ( 6.8 ...
... integrand in ( 6 · 8 · 11 ) is only appreciable for ß ' ≈ 0 , one can in the significant domain of integration ... integrand to contribute most significantly to the integral in the immediate vicinity of B ' 0 where the expansion ( 6.8 ...
Page 395
... integrand has a sharp maximum fore = μ , ( i.e. , for x = 0 ) and since Bu >> 1 , the lower limit can be replaced by ∞ with negligible error . Thus one can write where Note that - [ * F ' ( e ) ( e — μ ) TM de = − ( kT ) TM Im is an ...
... integrand has a sharp maximum fore = μ , ( i.e. , for x = 0 ) and since Bu >> 1 , the lower limit can be replaced by ∞ with negligible error . Thus one can write where Note that - [ * F ' ( e ) ( e — μ ) TM de = − ( kT ) TM Im is an ...
Page 613
... integrand is already negligibly small . & last integral equals √2n . Thus ( A 6.9 ) yields the result n ! = • √2 ... integrand negli- gibly small when > n . Hence a knowledge of the second factor in the integrand is required only in ...
... integrand is already negligibly small . & last integral equals √2n . Thus ( A 6.9 ) yields the result n ! = • √2 ... integrand negli- gibly small when > n . Hence a knowledge of the second factor in the integrand is required only in ...
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