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

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Page 76

(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, P. f(u,). (31) r= 1 This definition

implies that mean values have some very simple properties. For

and ...

(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, P. f(u,). (31) r= 1 This definition

implies that mean values have some very simple properties. For

**example**, if f(u)and ...

Page 84

magnetic moment of each spin has a probability p = 0.51 of pointing parallel to B

and a probability q = 1 — p = 0.49 of pointing antiparallel to B. The mean total ...

**Example**Suppose that, in the presence of a certain applied magnetic field B, themagnetic moment of each spin has a probability p = 0.51 of pointing parallel to B

and a probability q = 1 — p = 0.49 of pointing antiparallel to B. The mean total ...

Page 128

situation so that the molecules are essentially uniformly distributed throughout

the entire box, the simple act of replacing the partition does not restore the

original ...

**Example**Once the gas in our previous**example**has attained its final equilibriumsituation so that the molecules are essentially uniformly distributed throughout

the entire box, the simple act of replacing the partition does not restore the

original ...

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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