## Fundamentals of statistical and thermal physics |

### From inside the book

Results 1-3 of 67

Page 18

Expanding In W in Taylor's series, one

^Brf + - • □ (1-5-4) where Bk = d" ]n Y (1-5-5) is the fcth derivative of In W

evaluated at n\ = nx. Since one is expanding about a maximum, Bi = 0 by (1 -5 -2)

. Also ...

Expanding In W in Taylor's series, one

**obtains**In W(ni) = In TF(fu) + BlV + p2,2 +^Brf + - • □ (1-5-4) where Bk = d" ]n Y (1-5-5) is the fcth derivative of In W

evaluated at n\ = nx. Since one is expanding about a maximum, Bi = 0 by (1 -5 -2)

. Also ...

Page 387

Since each photon carries energy hw one

/(<c) d3*) Expressing the volume element d3ie in spherical coordinates and

using the relation k = w/c, one has d»K = k2 dn dQ = ^ dw dfi c3 Hence <P<(k,«) ...

Since each photon carries energy hw one

**obtains**(P, (*,<*) dw dQ = (hw)(c cos 8/(<c) d3*) Expressing the volume element d3ie in spherical coordinates and

using the relation k = w/c, one has d»K = k2 dn dQ = ^ dw dfi c3 Hence <P<(k,«) ...

Page 480

Thus one

the plane from below = $nvi(z — I). J Similarly, in considering molecules coming

from above the plane where they suffered their last collision at (z + I), one

...

Thus one

**obtains**Mean energy transported per unit time per unit area across I ^the plane from below = $nvi(z — I). J Similarly, in considering molecules coming

from above the plane where they suffered their last collision at (z + I), one

**obtains**...

### 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 | |

26 other sections not shown

### Other editions - View all

### 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