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

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Page 224

Chapter 6 Canonical Distribution in the Classical

distribution (4.49) represents a simple result of fundamental importance and

exceedingly great practical utility. As we showed in Chap. 4, it can be applied

directly ...

Chapter 6 Canonical Distribution in the Classical

**Approximation**The canonicaldistribution (4.49) represents a simple result of fundamental importance and

exceedingly great practical utility. As we showed in Chap. 4, it can be applied

directly ...

Page 355

We shall now examine an

that p < 1 (19) and when the number n of interest is sufficiently small so that n 3 N

.

We shall now examine an

**approximation**of (18) valid in a different domain. This**approximation**becomes relevant when the probability p is sufficiently small sothat p < 1 (19) and when the number n of interest is sufficiently small so that n 3 N

.

Page 372

P.I. Simple application of the Gaussian

Find the probability of obtaining 215 heads. P.2 Gaussian probability density

Consider an ideal system of N spins #, where each spin has a magnetic moment

uo ...

P.I. Simple application of the Gaussian

**approximation**A coin is tossed 400 times.Find the probability of obtaining 215 heads. P.2 Gaussian probability density

Consider an ideal system of N spins #, where each spin has a magnetic moment

uo ...

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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