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 227
... number of particles or of its energy . When A is a macroscopic system in contact with a reservoir as illustrated in Fig . 6.9.1 , it is again clear that the relative fluctuations of its energy about its mean energy Ē , and of its number ...
... number of particles or of its energy . When A is a macroscopic system in contact with a reservoir as illustrated in Fig . 6.9.1 , it is again clear that the relative fluctuations of its energy about its mean energy Ē , and of its number ...
Page 337
... numbers of particles in each state , i.e. , over all values n , = 0 , 1 , 2 , 3 , for each r .. ( 9.2.11 ) subject to the restriction ( 9-2-2 ) of a fixed total number of particles Σn = N . ( 9.2.12 ) Thus any But the particles have ...
... numbers of particles in each state , i.e. , over all values n , = 0 , 1 , 2 , 3 , for each r .. ( 9.2.11 ) subject to the restriction ( 9-2-2 ) of a fixed total number of particles Σn = N . ( 9.2.12 ) Thus any But the particles have ...
Page 343
... number N of particles , e , denotes the energy level of a particle in state s . Suppose that the energy scale is shifted by an arbitrary constant . Then all single - particle energy levels are shifted by the same constant n ' and the ...
... number N of particles , e , denotes the energy level of a particle in state s . Suppose that the energy scale is shifted by an arbitrary constant . Then all single - particle energy levels are shifted by the same constant n ' and the ...
Contents
Introduction to statistical methods | 1 |
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 kinetic liquid macroscopic macrostate magnetic field magnetic moment mass maximum mean energy mean number mean pressure 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 thermal contact thermally insulated Thermodynamics tion total number unit volume v₁ variables velocity