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
... equation formulation 13.7 Equivalence of the two formulations 510 13.8 Examples of the Boltzmann equation method 504 507 508 511 14 Near - exact formulation of transport theory 14.1 Description of two - particle collisions 14.2 ...
... equation formulation 13.7 Equivalence of the two formulations 510 13.8 Examples of the Boltzmann equation method 504 507 508 511 14 Near - exact formulation of transport theory 14.1 Description of two - particle collisions 14.2 ...
Page 511
... 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 ( 13.6.3 ) ...
... 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 ( 13.6.3 ) ...
Page 564
... Equation ( 15 · 5 · 8 ) is called the " Langevin equation . " It differs from the original equation ( 15.5.1 ) by explicitly decomposing the force F ( t ) into a slowly varying part - av and into a fluctuating part F ' ( t ) which is ...
... Equation ( 15 · 5 · 8 ) is called the " Langevin equation . " It differs from the original equation ( 15.5.1 ) by explicitly decomposing the force F ( t ) into a slowly varying part - av and into a fluctuating part F ' ( t ) which 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 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