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 4
... probability depends very much on the nature of the ensemble which is contemplated in defining this probability . For example , it makes no sense to speak simply of the probability that an individual seed will yield red flowers . But one ...
... probability depends very much on the nature of the ensemble which is contemplated in defining this probability . For example , it makes no sense to speak simply of the probability that an individual seed will yield red flowers . But one ...
Page 27
... probability description of such a situation , one can focus attention on any infinitesimal range of the variable between u and u + du and ask for the probability that the variable assumes a value in this range . One expects that this ...
... probability description of such a situation , one can focus attention on any infinitesimal range of the variable between u and u + du and ask for the probability that the variable assumes a value in this range . One expects that this ...
Page 41
... probability of surviving ( N − 1 ) turns in this game and then being shot the Nth time one pulls the trigger ? ( c ) ... probability W ( n ) of n successes out of a total of N independent trials . Let w1 = p denote the probability of a ...
... probability of surviving ( N − 1 ) turns in this game and then being shot the Nth time one pulls the trigger ? ( c ) ... probability W ( n ) of n successes out of a total of N independent trials . Let w1 = p denote the probability of a ...
Contents
Introduction to statistical methods | 1 |
GENERAL DISCUSSION OF THE RANDOM WALK | 24 |
Statistical description of systems of particles | 47 |
Copyright | |
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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 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 variables velocity