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 81
... final macro- states ; thus the integral [ ' dĒ over all the energy increments gained in the process depends only on the initial and final macrostates . In particular , therefore , the integral does not depend on what particular process ...
... final macro- states ; thus the integral [ ' dĒ over all the energy increments gained in the process depends only on the initial and final macrostates . In particular , therefore , the integral does not depend on what particular process ...
Page 89
... final equilibrium situa- tion consistent with the absence of constraints , it is equally likely that each of the states be occupied by the systems . If f >> Ni , the particular situa- tion where the systems are distributed only over the ...
... final equilibrium situa- tion consistent with the absence of constraints , it is equally likely that each of the states be occupied by the systems . If f >> Ni , the particular situa- tion where the systems are distributed only over the ...
Page 91
... final equilibrium situation has been reached so that the sys- tems in the ensemble are uniformly distributed over the 2 , accessible final If the constraints are now simply restored , the systems in the ensemble will still occupy these ...
... final equilibrium situation has been reached so that the sys- tems in the ensemble are uniformly distributed over the 2 , accessible final If the constraints are now simply restored , the systems in the ensemble will still occupy these ...
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