Thermodynamics

entropy

/ EN-truh-pee /

Entropy is a way of counting how many different microscopic arrangements look the same from the outside. A messy desk and a tidy one are both "a desk," but there are vastly more ways to be messy than tidy — so the messy state has higher entropy simply because nature has more ways to land there.

This counting explains why the world drifts the way it does. Heat flows from hot to cold, milk swirls into coffee and never un-swirls, and a dropped glass shatters but never reassembles — not because some force forbids the reverse, but because the spread-out version corresponds to overwhelmingly more arrangements. Left alone, a system tends toward whichever state it can reach in the most ways, so total entropy tends to rise.

That one-way drift is also why time seems to have a direction. "Entropy = chaos" is a catchy but misleading shorthand: it is really about probability and the number of possibilities, not messiness for its own sake — and entropy can even drop in one spot (a freezer making ice) as long as it rises more somewhere else (the heat dumped into your kitchen).

The word was coined in 1865 by Rudolf Clausius from a Greek root for "transformation," chosen to rhyme with "energy." Ludwig Boltzmann later tied it to counting arrangements — his formula S = k log W is carved on his gravestone in Vienna.

Also called
second law of thermodynamicsdisorderarrow of time热力学第二定律热力学熵熱力學第二定律時間之箭S