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Equation 1 · Part 3 · From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems

subscript

kBTln⁡2k_B T \ln 2
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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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Learn the underlying idea

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

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.