## Fundamentals of statistical and thermal physics |

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Page 251

The mean value of vx must vanish by symmetry; i.e., % = 0 But it is, of course, not

true that vz itself is always found to vanish if one observes a collection of such

particles; velocity

...

The mean value of vx must vanish by symmetry; i.e., % = 0 But it is, of course, not

true that vz itself is always found to vanish if one observes a collection of such

particles; velocity

**fluctuations**do occur. Indeed, the equipartition theorem can be...

Page 300

Suppose that the volume of the subsystem A has increased by an amount AV as

a result of a

surroundings (i.e., Ap < 0) to guarantee that the net force exerted on A by its ...

Suppose that the volume of the subsystem A has increased by an amount AV as

a result of a

**fluctuation**. The pressure p of A must then decrease below that of itssurroundings (i.e., Ap < 0) to guarantee that the net force exerted on A by its ...

Page 301

The

values of An = n — ft one has An = -(N/?*) AV = -(n/V) AV. Hence (8-4-20) implies

for the dispersion in the number density n the result Note that this depends on ...

The

**fluctuations**in n are centered about the value n = N/V, and for relatively smallvalues of An = n — ft one has An = -(N/?*) AV = -(n/V) AV. Hence (8-4-20) implies

for the dispersion in the number density n the result Note that this depends on ...

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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