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kBTk_{\mathrm B}T

Why this formula appears here

That distinction — a hard inequality on what is thermodynamically permitted, as opposed to a causal story about why anything organizes itself to approach that permission — is the difference between England’s 2013 result, which is uncontroversial physics, and the more ambitious theory built on top of it two years later, which is not. The 2013 bound is compatible with, and in fact numerically consistent with, Bennett’s independent estimate that real biological replication machinery dissipates on the order of tens of kBk_{\mathrm B}T per step [ 4 ] — both results describe the same underlying fact, that copying is not free, from two different derivations three decades apart. Neither result, on its…

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kBk_{\mathrm B}

Symbol k_mathrm B

kmk_mathrm B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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TT

Symbol T

T is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (1)

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kBTk_{\mathrm B}T

Equation 18 · Evolutionary Physics

The Arrow of Time and the Engine of Evolution

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

That distinction — a hard inequality on what is thermodynamically permitted, as opposed to a causal story about why anything organizes itself to approach that permission — is the difference between England’s 2013 result, which is uncontroversial physics, and the more ambitious theory built on top of it two years later, which is not. The 2013 bound is compatible with, and in fact numerically consistent with, Bennett’s independent estimate that real biological replication machinery dissipates on the order of tens of kBk_{\mathrm B}T per step [ 4 ] — both results describe the same underlying fact, that copying is not free, from two different derivations three decades apart. Neither result, on its…

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