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Dr Faustus of Modern Physics - Department of Speech, Music and ...

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Chapter 28<br />

Boltzmann<br />

28.1 Life <strong>and</strong> Work<br />

• All <strong>of</strong> us younger mathematicians stood by Boltzmann’s side. (Sommerfeld)<br />

• Let a drop <strong>of</strong> wine fall into a glass <strong>of</strong> water; whatever be the law that<br />

governs the internal movement <strong>of</strong> the liquid, we will soon see it tint itself<br />

uniformly pink <strong>and</strong> from that moment on, however we may agitate the<br />

vessel, it appears that the wine <strong>and</strong> water can separate no more. All<br />

this, Maxwell <strong>and</strong> Boltzmann have explained, but the one who saw it in<br />

the cleanest way, in a book that is too little read because it is difficult<br />

to read, is Gibbs, in his Principles <strong>of</strong> Statistical Mechanics. (Poincare)<br />

Stanford Encyclopedia <strong>of</strong> Philosophy:<br />

• Ludwig Boltzmann (1844-1906) is generally acknowledged as one <strong>of</strong><br />

the most important physicists <strong>of</strong> the nineteenth century. Particularly<br />

famous is his statistical explanation <strong>of</strong> the second law <strong>of</strong> thermodynamics.<br />

The celebrated formula S = k log(W ), expressing a relation between<br />

entropy S <strong>and</strong> probability W has been engraved on his tombstone (even<br />

though he never actually wrote this formula down). Boltzmann’s views<br />

on statistical physics continue to play an important role in contemporary<br />

debates on the foundations <strong>of</strong> that theory.<br />

• However, Boltzmann’s ideas on the precise relationship between the<br />

thermodynamical properties <strong>of</strong> macroscopic bodies <strong>and</strong> their microscopic<br />

121

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