Equation 16 · Part 1 · From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
The last major gap in this record closed two years later. Landauer’s 1961 principle had stood for half a century as a trusted but experimentally unconfirmed claim, mainly because dissipating and resolving a heat signal on the order of 10^{-21} joules from a single bit erasure was beyond available calorimetry. Antoine Bérut, Artak Arakelyan, Artyom Petrosyan, Sergio Ciliberto, Raoul Dillenschneider, and Eric Lutz closed that gap in 2012 with “Experimental Verification of Landauer’s Principle Linking Information and Thermodynamics,” published in Nature [ 9 ] . Rather than attempting calorimetry on an electronic bit, they built a colloidal analogue: a single micron-scale bead confined in a…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.