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Equation 5 · 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

The decisive correction came from Rolf Landauer at IBM in 1961, in “Irreversibility and Heat Generation in the Computing Process,” published in the IBM Journal of Research and Development [ 2 ] . Landauer was not working on Maxwell’s demon directly — his subject was the physical limits of computation, motivated by IBM’s practical interest in how much heat a computing device must dissipate. His central claim, now called Landauer’s principle, was that logically irreversible operations — operations that map two or more distinct input states onto the same output state, of which erasing a bit of memory is the paradigm case — must dissipate at least kBk_B T ln⁡\ln 2 of heat into the environment per bit…

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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.