Statistical PhysicsElementary college physics course for students majoring in science and engineering. |
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Page 76
... mean value ( or ensemble average ) of ƒ is defined by the expression α ƒ ( u ) = ΣP , f ( ur ) . r = 1 ( 31 ) This definition implies that mean values have some very simple properties . For example , if f ( u ) and g ( u ) are any two ...
... mean value ( or ensemble average ) of ƒ is defined by the expression α ƒ ( u ) = ΣP , f ( ur ) . r = 1 ( 31 ) This definition implies that mean values have some very simple properties . For example , if f ( u ) and g ( u ) are any two ...
Page 78
... mean value of f , while the second is the mean value of g . Hence we arrive at the result that if u and v are statistically independent , fg = fg ; ( 36 ) i.e. , the average of a product is then simply equal to the product of the ...
... mean value of f , while the second is the mean value of g . Hence we arrive at the result that if u and v are statistically independent , fg = fg ; ( 36 ) i.e. , the average of a product is then simply equal to the product of the ...
Page 80
Frederick Reif. A knowledge of the probabilities P , for all values u , gives complete statistical information about the distribution of the values of u in the ensemble . On the other hand , a knowledge of a few mean values such as ū and ...
Frederick Reif. A knowledge of the probabilities P , for all values u , gives complete statistical information about the distribution of the values of u in the ensemble . On the other hand , a knowledge of a few mean values such as ū and ...
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