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 246
... classical approximation We saw that the essential indistinguishability of identical molecules cannot be disregarded even if the motion of the molecules can be treated by classical mechanics . But to what extent is the latter procedure ...
... classical approximation We saw that the essential indistinguishability of identical molecules cannot be disregarded even if the motion of the molecules can be treated by classical mechanics . But to what extent is the latter procedure ...
Page 371
... classical limit , where ( 9.12.12 ) is valid , the indistinguishability is easily handled . Turning the molecule end - for - end is the same as interchanging the two identical nuclei . We have counted such a turning over by 180 ° as a ...
... classical limit , where ( 9.12.12 ) is valid , the indistinguishability is easily handled . Turning the molecule end - for - end is the same as interchanging the two identical nuclei . We have counted such a turning over by 180 ° as a ...
Page 398
... classical limit when ň , < 1 ? 9.3 Calculate the partition function of a monatomic gas in the classical limit by con- sidering the particles enclosed in a rectangular box with perfectly reflecting walls and describing each particle in ...
... classical limit when ň , < 1 ? 9.3 Calculate the partition function of a monatomic gas in the classical limit by con- sidering the particles enclosed in a rectangular box with perfectly reflecting walls and describing each particle in ...
Contents
Introduction to statistical methods | 11 |
GENERAL DISCUSSION OF THE RANDOM WALK | 24 |
Statistical description of systems of particles | 47 |
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absolute temperature approximation assume atoms becomes Boltzmann equation calculate chemical potential classical coefficient collision condition Consider constant container corresponding curve d³r d³v denote density depends discussion e-BE electrons ensemble entropy equal equation equilibrium situation equipartition theorem evaluated example expression external parameters fluctuations gases given heat capacity heat reservoir Hence ideal gas independent infinitesimal integral integrand interaction internal energy isolated system liquid macroscopic macrostate magnetic field magnetic moment mass mean energy mean number mean value mole molecular molecules momentum n₁ number of molecules number of particles obtains partition function phase space photons physical piston probability problem quantity quantum quantum mechanics quasi-static range relation result simply solid specific heat spin statistical mechanics T₁ thermal contact thermally insulated Thermodynamics tion total number unit volume v₁ v₂ variables velocity