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

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102 CHAPTER 22. LOSCHMIDT’S REVERSIBILITY PARADOX<br />

<strong>and</strong> his answer was what his teacher <strong>and</strong> mentor Loschmidt questioned in<br />

his paradox.<br />

To solve the problem Boltzmann introduced microscopic statistics <strong>and</strong><br />

thus replaced microscopic reversible Hamiltonian mechanics by irreversible<br />

statistical mechanics, <strong>and</strong> thus circumvented the reversibility paradox, but<br />

Loschmidt never accepted Boltzmann’s solution.<br />

Loschmidt also objected to the prediction by Maxwell <strong>and</strong> Boltzmann<br />

that a gas column in thermal equilibrium in a gravitational field has the<br />

same temperature at all heights. We shall see below that Loschmidt was<br />

right. Loschmidt was smarter than Boltzmann. Listen to some s<strong>of</strong>t words<br />

about reversibility <strong>and</strong> watch a Short Emotional Film on Time-Reversibility.<br />

Figure 22.1: Johann Josef Loschmidt.

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