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 52
... total energy , which characterize the system as a whole . ( For the sake of brevity m is denoted simply by + , and m = -by- . ) = State index r Quantum numbers Total magnetic Total moment energy 52 SECTION 2.2 Statistical ensemble.
... total energy , which characterize the system as a whole . ( For the sake of brevity m is denoted simply by + , and m = -by- . ) = State index r Quantum numbers Total magnetic Total moment energy 52 SECTION 2.2 Statistical ensemble.
Page 211
... statistical ensemble consists of a very large number a of such systems , a , of which are in state r . Then the informa- tion available to us is that & Σ a.E. Ē = ( 6.4.1 ) equals the specified mean energy . Thus it follows that - - Σα ...
... statistical ensemble consists of a very large number a of such systems , a , of which are in state r . Then the informa- tion available to us is that & Σ a.E. Ē = ( 6.4.1 ) equals the specified mean energy . Thus it follows that - - Σα ...
Page 212
... ensemble . Accordingly , one gets again the canonical distribution P , α e - BE , ( 6.4.2 ) The parameter 8 = ( ln ... ensemble or When a system A is in thermal contact with a heat reservoir as in Sec . 6.2 , when only its mean energy is ...
... ensemble . Accordingly , one gets again the canonical distribution P , α e - BE , ( 6.4.2 ) The parameter 8 = ( ln ... ensemble or When a system A is in thermal contact with a heat reservoir as in Sec . 6.2 , when only its mean energy is ...
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