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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Results 1-3 of 83
Page 42
... show that ( 1 − p ) N - n ≈ e ̄No ̧ ( b ) Show that N ! / ( N − n ) ! ≈ N " . - ( c ) Hence show that ( 1 ) reduces to W ( n ) = 17 e → እ ” n ! ( 2 ) where = Np is the mean number of events . The distribution ( 2 ) is called the ...
... show that ( 1 − p ) N - n ≈ e ̄No ̧ ( b ) Show that N ! / ( N − n ) ! ≈ N " . - ( c ) Hence show that ( 1 ) reduces to W ( n ) = 17 e → እ ” n ! ( 2 ) where = Np is the mean number of events . The distribution ( 2 ) is called the ...
Page 236
... Show that under these circumstances the entropy is ent , then Pr . = simply additive , i.e. , S S1 + S2 . * 6.14 In ... shows ( in agreement with the discussion of Sec . 6 · 10 ) that , for a speci- fied value of the mean energy , the ...
... Show that under these circumstances the entropy is ent , then Pr . = simply additive , i.e. , S S1 + S2 . * 6.14 In ... shows ( in agreement with the discussion of Sec . 6 · 10 ) that , for a speci- fied value of the mean energy , the ...
Page 602
... show that in the preceding problem the solution of the Langevin equation can be written in the form = N - 1 v — vo e Y2 = Y = Σ yk k = 0 where Yk = ert erTkGk = e- ( N - k ) Gk and Gk = [ ' F ' ( kr + 8 ) ds ( 1 ) ( 2 ) ( 3 ) 1 T m ...
... show that in the preceding problem the solution of the Langevin equation can be written in the form = N - 1 v — vo e Y2 = Y = Σ yk k = 0 where Yk = ert erTkGk = e- ( N - k ) Gk and Gk = [ ' F ' ( kr + 8 ) ds ( 1 ) ( 2 ) ( 3 ) 1 T m ...
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