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 278
... momentum transfer It is of interest to consider from a detailed kinetic point of view how a gas exerts a pressure . The basic mechanism is certainly clear : The mean ... momentum — Ap2 = 2mv. 278 7.13 SECTION Pressure and momentum transfer.
... momentum transfer It is of interest to consider from a detailed kinetic point of view how a gas exerts a pressure . The basic mechanism is certainly clear : The mean ... momentum — Ap2 = 2mv. 278 7.13 SECTION Pressure and momentum transfer.
Page 279
... momentum of this element of wall , i.e. , the mean net momentum delivered to this wall element per unit time by the impinging molecules . If we focus attention on an element of area dA lying inside the gas an infinitesimal distance in ...
... momentum of this element of wall , i.e. , the mean net momentum delivered to this wall element per unit time by the impinging molecules . If we focus attention on an element of area dA lying inside the gas an infinitesimal distance in ...
Page 533
... momentum gain of an ion per collision , = or ( Ap ) ( Ap ) = -μ ( V ) = = — ս v1 ) ( 14.6-7 ) if we assume that the neutral molecules are at rest with respect to the container walls so that their mean velocity u1 = 0 . It is of ...
... momentum gain of an ion per collision , = or ( Ap ) ( Ap ) = -μ ( V ) = = — ս v1 ) ( 14.6-7 ) if we assume that the neutral molecules are at rest with respect to the container walls so that their mean velocity u1 = 0 . It is of ...
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