## Fundamentals of statistical and thermal physics |

### From inside the book

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Page 12

More generally, if f(u) is any function of u, then the

by /M-^ (1-3-2) i = l This expression can be simplified. Since P(ui) is defined as a

probability, the quantity M P(m,) + P(us) + • • • + P(uM) = 2 PM i-1 represents the ...

More generally, if f(u) is any function of u, then the

**mean value**of f(u) is definedby /M-^ (1-3-2) i = l This expression can be simplified. Since P(ui) is defined as a

probability, the quantity M P(m,) + P(us) + • • • + P(uM) = 2 PM i-1 represents the ...

Page 13

Another useful

called the "second moment of u about its mean," or more simply the "dispersion of

u." This can never be negative, since (Am)2 > 0 so that each term in the sum ...

Another useful

**mean value**is V □ M (Am)2 = ^ P(ud(ui - uY > 0 (1-3-9) i-l which iscalled the "second moment of u about its mean," or more simply the "dispersion of

u." This can never be negative, since (Am)2 > 0 so that each term in the sum ...

Page 526

Frederick Reif. 1. There is an intrinsic increase A -^ in the total

due to the fact that the quantity x(»",e,<) for each molecule in d'r changes. In time

dt, each molecule changes position by dr = v dt and velocity by dv = (F/m) dt; ...

Frederick Reif. 1. There is an intrinsic increase A -^ in the total

**mean value**of xdue to the fact that the quantity x(»",e,<) for each molecule in d'r changes. In time

dt, each molecule changes position by dr = v dt and velocity by dv = (F/m) dt; ...

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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