## Fundamentals of statistical and thermal physics |

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Page 98

The result is that the product of these two factors, i.e., the probability P(E), exhibits

an extremely sharp

the dependence of P(E) on E must show the general behavior illustrated in Fig.

The result is that the product of these two factors, i.e., the probability P(E), exhibits

an extremely sharp

**maximum**for some particular value E of the energy E. Thusthe dependence of P(E) on E must show the general behavior illustrated in Fig.

Page 99

Frederick Reif.

d In P _ 1 BP -dE~ = PdE ° (33-6) But by (3-3-5) In P(E) = In C + In Q(E) + In Q'(E')

(3-3-7) where £' = £<°> - £. Hence (3 -3 -6) becomes a In 0(g) ajno^gp _ or ...

Frederick Reif.

**maximum**of its logarithm, we need to find the value E = S, where*d In P _ 1 BP -dE~ = PdE ° (33-6) But by (3-3-5) In P(E) = In C + In Q(E) + In Q'(E')

(3-3-7) where £' = £<°> - £. Hence (3 -3 -6) becomes a In 0(g) ajno^gp _ or ...

Page 291

... with the parameter between y and y + by is given by P(y) oc Q(y) = es<»»* (8-1-

6) Equation (8-1-6) shows explicitly that if y is left free to adjust itself, it will tend to

approach a value y where P(y) is

... with the parameter between y and y + by is given by P(y) oc Q(y) = es<»»* (8-1-

6) Equation (8-1-6) shows explicitly that if y is left free to adjust itself, it will tend to

approach a value y where P(y) is

**maximum**, i.e., where S(y) is**maximum**.### What people are saying - Write a review

#### LibraryThing Review

User Review - JJMAlmeida - LibraryThingNever mind that this book was published in the mid '60s (before I was even born); if you must choose one book to learn from, choose this one. It is so concise, so well thought out that I have yet to ... Read full review

### Contents

Introduction to statistical methods | 1 |

GENERAL DISCUSSION OF THE RANDOM WALK | 24 |

Statistical description of systems of particles | 47 |

Copyright | |

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### Common terms and phrases

absolute temperature approximation assume atoms becomes Boltzmann equation calculate canonical distribution chemical potential classical coefficient collision condition Consider constant container corresponding curve denote density depends derivatives discussion electrons ensemble entropy equal equation equilibrium situation equipartition theorem evaluated example expression external parameters fluctuations frequency gases given heat capacity heat reservoir Hence ideal gas independent infinitesimal integral integrand interaction internal energy isolated system kinetic liquid macrostate magnetic field mass maximum mean energy mean number mean pressure mean value measured metal molar mole molecular momentum number of molecules number of particles obtains partition function perature phase space photons physical piston position probability problem quantity quantum quantum mechanics quasi-static radiation range relation result satisfy simply solid specific heat spin statistical mechanics Suppose theorem thermal contact thermally insulated Thermodynamics tion total energy total number unit volume variables velocity