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Equation 15 · Part 3 · From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems

subscript

kBTln⁡2k_BT\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

That same year, Shoichi Toyabe, Sagawa, Ueda, Eiro Muneyuki, and Masaki Sano built and ran the device, reporting “Experimental Demonstration of Information-to-Energy Conversion and Validation of the Generalized Jarzynski Equality” in Nature Physics [ 8 ] . Their apparatus used a single colloidal particle on a spiral-staircase-shaped potential created by a rotating electric field; real-time feedback, triggered by measuring which way the particle had diffused, allowed the particle to climb the staircase using only thermal fluctuations and the information gained by observation, extracting free energy in excess of the direct work performed on it and confirming the Sagawa-Ueda generalized…

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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 surrounding passage

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