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 153
... relation T dS = dE + p dV Most of this chapter will be based on this one equation . Indeed , it is usually simplest to make this fundamental relation the starting point for discussing any problem . PROPERTIES OF IDEAL GASES 5 • 1 ...
... relation T dS = dE + p dV Most of this chapter will be based on this one equation . Indeed , it is usually simplest to make this fundamental relation the starting point for discussing any problem . PROPERTIES OF IDEAL GASES 5 • 1 ...
Page 165
... relations . Indeed , one has ds = = as Fe ( 32 ) , dE + as dV EdV by ( 5-6-6 ) and the latter expression is simply the fundamental relation ( 5-6-1 ) Note that the fundamental relation ( 5.6.1 ) involves the variables on the right side ...
... relations . Indeed , one has ds = = as Fe ( 32 ) , dE + as dV EdV by ( 5-6-6 ) and the latter expression is simply the fundamental relation ( 5-6-1 ) Note that the fundamental relation ( 5.6.1 ) involves the variables on the right side ...
Page 166
... relation ( 5.6.1 ) is expressed most simply ) : E H = E + pV F = E E = E ( S , V ) H = H ( S , p ) G = E - TS TS + PV F = F ( T , V ) G = G ( T , P ) - ( 5.6-7 ) Next we summarize the thermodynamic relations satisfied by each of these ...
... relation ( 5.6.1 ) is expressed most simply ) : E H = E + pV F = E E = E ( S , V ) H = H ( S , p ) G = E - TS TS + PV F = F ( T , V ) G = G ( T , P ) - ( 5.6-7 ) Next we summarize the thermodynamic relations satisfied by each of these ...
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