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 182
... result , valid under condi- tions of constant H , to solve for the ratio dT / dp , we get μ = - ( 37 ) дрн = - T ( aS / ap ) r + V Cp ( 5.10.10 ) The numerator can be transformed into more convenient form by a Maxwell relation ; by ...
... result , valid under condi- tions of constant H , to solve for the ratio dT / dp , we get μ = - ( 37 ) дрн = - T ( aS / ap ) r + V Cp ( 5.10.10 ) The numerator can be transformed into more convenient form by a Maxwell relation ; by ...
Page 509
... result of collisions , molecules originally with positions and velocities not in this range d'r d'v can be scattered into this range ; conversely , molecules originally in this range can be scattered out of it . Let Dcf d3r d3v denote ...
... result of collisions , molecules originally with positions and velocities not in this range d'r d'v can be scattered into this range ; conversely , molecules originally in this range can be scattered out of it . Let Dcf d3r d3v denote ...
Page 602
... result then allows one to relate vN to vo . - = 15.7 Use the results of Problem 15.5 to relate Ŷ to G , the ensemble average of G which is independent of k . Show that the result Ğ 0 , expected from the property that F ' O , is ...
... result then allows one to relate vN to vo . - = 15.7 Use the results of Problem 15.5 to relate Ŷ to G , the ensemble average of G which is independent of k . Show that the result Ğ 0 , expected from the property that F ' O , 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