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Equation 4 · Part 1 · From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems

Symbol W_max

Wmax⁡=kBTln⁡2W_{\max} = k_B T \ln 2
Wmax⁡W_{\max}

What this part means

WmW_max is part of the quantity the equation computes from the expression on the right.

Its job in the formula

WmW_max is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Szilard reduced Maxwell’s population of molecules to the simplest case that still carried the paradox: a single gas particle in a box. An external agent measures which half of the box the particle occupies, inserts a partition, and lets the particle push a piston on the side it occupies, converting the result of that one-bit measurement into extractable work. Szilard showed that the demon’s ability to extract work was tied exactly to the amount of information it acquired in the measurement — one bit of information corresponds to a definite quantity of work, kBk_B T ln⁡\ln 2 , where kBk_B is Boltzmann’s constant and T is the bath temperature. This is worth stating as an equation because it is the…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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