## Fundamentals of statistical and thermal physics |

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Page 227

mean energy E and mean number N of particles, i.e., by the equations ^ e-HE,-*

NrEr E = y e-pBr-*N, ' (6-9-5) V e-»B'-alf'Nr R = ^ y e-pE,-*N, r Here the sums are

over all possible states of the system A irrespective of its

...

mean energy E and mean number N of particles, i.e., by the equations ^ e-HE,-*

NrEr E = y e-pBr-*N, ' (6-9-5) V e-»B'-alf'Nr R = ^ y e-pE,-*N, r Here the sums are

over all possible states of the system A irrespective of its

**number of particles**or of...

Page 336

The assumption of negligibly small interaction between the particles allows us to

write for the total energy of the gas, when it ... Furthermore, if the total

...

The assumption of negligibly small interaction between the particles allows us to

write for the total energy of the gas, when it ... Furthermore, if the total

**number of****particles**in the gas is known to be N, one must have £nr = AT (9-2-2) r In order to...

Page 409

Note that this result is exactly the same as if one were dealing with a system of

the system would be specified by stating the

r.

Note that this result is exactly the same as if one were dealing with a system of

**particles**each of which can be in any one of ... From this point of view the state ofthe system would be specified by stating the

**numbers**nr of**particles**of each typer.

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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 | |

26 other sections not shown

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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