## Statistical Physics, Volume 5Elementary college physics course for students majoring in science and engineering. |

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Page 76

But, since Mor// = P, is the probability of occurrence of the value ur, the definition (

29) becomes simplyf u E S. Pour. (30) r= 1 Similarly, if f(u) is any function of u, the

But, since Mor// = P, is the probability of occurrence of the value ur, the definition (

29) becomes simplyf u E S. Pour. (30) r= 1 Similarly, if f(u) is any function of u, the

**mean value**(or ensemble average) of f is defined by the expression f(u) = X, ...Page 78

where the summation is over all possible values u, and v, of the variables. If the

variables are ... But the first of the factors on the right is simply the

, while the second is the

where the summation is over all possible values u, and v, of the variables. If the

variables are ... But the first of the factors on the right is simply the

**mean value**of f, while the second is the

**mean value**of g. Hence we arrive at the result that if u ...Page 80

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

partial ...

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 u and (Au)” provides only apartial ...

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### Contents

Characteristic Features of Macroscopic Systems | 1 |

A I | 2 |

I | 6 |

Copyright | |

26 other sections not shown

### Common terms and phrases

absolute temperature absorbed accessible approximation assume atoms average Avogadro's calculate classical collision Consider constant container corresponding cules denote discussion distribution ensemble entropy equal equilibrium situation equipartition theorem example exchange energy expression external parameters fluctuations function given heat capacity heat Q heat reservoir Hence ideal gas initial internal energy interval isolated system kinetic energy large number left half liquid ln Q macroscopic parameters macroscopic system macrostate magnetic field magnetic moment magnitude mass mean energy mean number mean pressure mean value measured mechanics mole molecular momentum number of molecules occur oscillator particle particular partition phase space piston position possible values Prob quantity quantum numbers quasi-static random relation result simply solid specific heat spin system statistical statistical ensemble statistically independent Suppose thermal contact thermal interaction thermally insulated thermometer tion total energy total magnetic total number unit volume velocity