## Fundamentals of statistical and thermal physics |

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Page 238

Thus it is an easy task to find the quantum states and the

ideal gas of noninteracting atoms; but it is a formidable task to do the same for a

liquid where all the molecules interact strongly with each other. If the system can

hp treated in \hc dassical approximation, then its energy E(qi, ...,?/, pi, ... , p/)

depends on some/ generalized coordinates and / JmomenTa. ll"p"tlase space is

subdivided into cells of volume h0f, the

evaluated ...

Thus it is an easy task to find the quantum states and the

**partition function**for anideal gas of noninteracting atoms; but it is a formidable task to do the same for a

liquid where all the molecules interact strongly with each other. If the system can

hp treated in \hc dassical approximation, then its energy E(qi, ...,?/, pi, ... , p/)

depends on some/ generalized coordinates and / JmomenTa. ll"p"tlase space is

subdivided into cells of volume h0f, the

**partition function**in Eq. (711) can beevaluated ...

Page 398

(a) Write an expression for the

MB statistics and are considered distinguishable. (6) What is Z if the particles

obey BE statistics? (c) What is Z if the particles obey FD statistics? 9.2 (a) From a

knowledge of the

the entropy S of an ideal FD gas. Express your answer solely in terms of rir, the

mean number of particles in state r. (6) Write a similar expression for the entropy

S of a BE ...

(a) Write an expression for the

**partition function**Z if the particles obey classicalMB statistics and are considered distinguishable. (6) What is Z if the particles

obey BE statistics? (c) What is Z if the particles obey FD statistics? 9.2 (a) From a

knowledge of the

**partition function**Z derived in the text, write an expression forthe entropy S of an ideal FD gas. Express your answer solely in terms of rir, the

mean number of particles in state r. (6) Write a similar expression for the entropy

S of a BE ...

Page 646

Fermi-Dirac statistics distribution function for, 341, 350 fluctuation in particle

numbers, 351 nature of ground state, 339, 390

symmetry requirements, 332-333 Fermions, 333 Ferromagnetism, 428-434 Curie

temperature for, 432 and exchange interaction, 428-429 Weiss molecular field

theory of, 430-434 First law of thermodynamics, 82, 122 Fluctuation near critical

point, 301 of density, 300-301 of energy, 109-110, 213, 242 of ideal gas, 242 of

gas pressure, ...

Fermi-Dirac statistics distribution function for, 341, 350 fluctuation in particle

numbers, 351 nature of ground state, 339, 390

**partition function**for, 350 andsymmetry requirements, 332-333 Fermions, 333 Ferromagnetism, 428-434 Curie

temperature for, 432 and exchange interaction, 428-429 Weiss molecular field

theory of, 430-434 First law of thermodynamics, 82, 122 Fluctuation near critical

point, 301 of density, 300-301 of energy, 109-110, 213, 242 of ideal gas, 242 of

gas pressure, ...

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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