KnowraFluctuation theoremLinked fromLinked fromThe 12 pages that link to Fluctuation theorem, each with the reason it gives.All 12Related 11Compared with 1Second law of thermodynamicsRelated: It refines the law for small systems, where temporary entropy decreases can occur.Ludwig BoltzmannRelated: It extends the probabilistic perspective that makes macroscopic irreversibility compatible with microscopic dynamics.Irreversible processRelated: It shows how microscopic reversals coexist with macroscopic irreversibility.Fluctuation–dissipation theoremCompared with: Unlike the equilibrium response theorem, it constrains fluctuation probabilities during nonequilibrium processes.Entropy productionRelated: These relations quantify how finite-time fluctuations can temporarily oppose average entropy production.Arrow of timeRelated: It quantifies why small systems can briefly run against the usual thermodynamic direction.Maxwell's demonRelated: It replaces an absolute prohibition on brief entropy decreases with precise probabilistic limits.Loschmidt's paradoxRelated: It makes room for occasional entropy decreases without denying the statistical tendency toward increase.Nonequilibrium thermodynamicsRelated: It quantifies irreversibility beyond average near-equilibrium behavior.Boltzmann brainRelated: It formalizes the broader possibility of temporary entropy decreases.Thermodynamic free energyRelated: It extends free-energy relationships to systems undergoing finite, fluctuating transformations.Entropy as an arrow of timeRelated: It shows that the second law is statistical, not an absolute ban on short-lived reversals.