9780192806727.pdf

ENTROPY AND PROBABILITY 59 where the mean free path of the molecules is small compared with the linear dimensions of the contain ...

60 STATISTICAL PHYSICS concerning the foundations of statistical mechanics preceded the appearance of the first papers in which ...

ENTROPY AND PROBABILITY 6l the first to state that the second law is statistical in nature.* In a letter about his 'demons,' pro ...

62 STATISTICAL PHYSICS Suppose that H decreases in the course of time. Then for a second system, which differs from the first on ...

ENTROPY AND PROBABILITY 63 self in 1903 [Ell], evidently unaware of Boltzmann's paper of 1868. (Lorentz later called this defini ...

64 STATISTICAL PHYSICS just described. Therefore, the number of microstates (or complexions, as Boltz- mann called them) corresp ...

ENTROPY AND PROBABILITY 65 Einstein's precursors have now been sufficiently introduced. I conclude this sec- tion with three fin ...

66 STATISTICAL PHYSICS advance warning to the reader.* Maxwell said of his writings: 'By the study of Boltzmann I have been unab ...

ENTROPY AND PROBABILITY 67 Maxwell's work on kinetic theory only to the extent that it was discussed by Boltz- mann in those sam ...

68 STATISTICAL PHYSICS different derivation, in that use is made of the canonical ensemble, yet it contains once again the assum ...

ENTROPY AND PROBABILITY 69 the context of statistical considerations. It seems that he had already been brooding for some time a ...

70 STATISTICAL PHYSICS if V is small.* Thus he believed that radiation is 'the only kind of physical system ... of which we can ...

ENTROPY AND PROBABILITY 71 give a deduction rather than a hypothetical assertion' [E13]. Since Einstein had by then already rein ...

Equations 4.17 and 4.20 again give Eq. 4.15. Equation 4.20 can of course also be derived from Boltzmann's formula Eq. 4.8, since ...

ENTROPY AND PROBABILITY 73 1915: 'His discussion [of the second law] is rather lengthy and subtle. But the effort of thinking [a ...

where W 0 is the equilibrium value of W 0. Equations 4.22 and 4.24 show that W 0 is Gaussian in &Ea. Denote (as before) the ...

ENTROPY AND PROBABILITY 75 which became so important in his discovery of the light-quantum. He reinvented Boltzmann's first defi ...

?6 STATISTICAL PHYSICS Leipzig, 1911. Translated as The Conceptual Foundations of the Statistical Approach in Mechanics (M. J. M ...

ENTROPY AND PROBABILITY 77 E45. [E3], Sec. 23. E46. [E3], Sec. 11. E47. A. Einstein, [E24], p. 187. E48. , letter to M. Besso, M ...

78 STATISTICAL PHYSICS Se, p. 176. Se, p. 198. Se, p. 169. Ul. G. E. Uhlenbeck and G. W. Ford, Lectures in Statistical Mechanic ...