Statistical PhysicsElementary college physics course for students majoring in science and engineering. |
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Page 71
... maximum near n = N and that its value there is very large compared to unity , to the extent that N is large . The ... maximum † near n N. On the other hand , if p > q , the coefficient C ( n ) still tends to produce a maximum of P ( n ) ...
... maximum near n = N and that its value there is very large compared to unity , to the extent that N is large . The ... maximum † near n N. On the other hand , if p > q , the coefficient C ( n ) still tends to produce a maximum of P ( n ) ...
Page 145
... maximum for some particular value Ē of the energy E. Thus the dependence of P ( E ) on E must show the general behavior illustrated in Fig . 4.2 where the width AE of the region where P ( E ) has appreciable magnitude is such that AE Ē ...
... maximum for some particular value Ē of the energy E. Thus the dependence of P ( E ) on E must show the general behavior illustrated in Fig . 4.2 where the width AE of the region where P ( E ) has appreciable magnitude is such that AE Ē ...
Page 351
... maximum is then deter- mined by the condition dP = 0 dn or , equivalently , by the condition that In P is maximum , d In P dn = 1 dp P dn = 0 . ( 3 ) To differentiate the expression ( 2 ) , we note that all the numbers occurring as ...
... maximum is then deter- mined by the condition dP = 0 dn or , equivalently , by the condition that In P is maximum , d In P dn = 1 dp P dn = 0 . ( 3 ) To differentiate the expression ( 2 ) , we note that all the numbers occurring as ...
Contents
Characteristic Features of Macroscopic Systems | 1 |
Basic Probability Concepts | 55 |
Thermal Interaction | 141 |
Copyright | |
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absolute temperature absorbed accessible approximation assume atoms average calculate classical collision Consider constant container cules definition denote discussion distribution electron ensemble entropy equal equilibrium situation equipartition theorem example expression external parameters fluctuations fluid function Gibbs free energy given heat capacity heat Q heat reservoir Hence ideal gas initial internal energy isolated system kinetic energy large number left half liquid macroscopic system macrostate magnetic field magnetic moment magnitude mass maximum mean energy mean number mean pressure mean value measured mole molecular momentum n₁ number of molecules occur oscillator particle particular phase phase space piston plane Poisson distribution position possible values Prob probability P(n quantity quantum numbers quasi-static random relation result simply solid specific heat statistical statistical ensemble statistically independent Suppose thermal contact thermally insulated thermometer tion total energy total number unit volume velocity