The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently...

The fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior...

"Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics: I. Generalized fluctuation-dissipation theorem", Physica...

The Crooks fluctuation theorem (CFT), sometimes known as the Crooks equation, is an equation in statistical mechanics that relates the work done on a...

The fluctuation theorem is obtained using the fact that dynamics is time reversible.[citation needed] Quantitative predictions of this theorem have been...

describes the probability ratios. Density matrix Fluctuation theorem Fluctuation–dissipation theorem Green's function (many-body theory) Lindblad equation...

and the time one must wait for a given entropy fluctuation is always finite, even for a fluctuation to its minimum possible value. For example, one might...

Harbola, Upendra; Mukamel, Shaul (2009). "Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems". Reviews of Modern...

thermodynamic relations such as the second law of thermodynamics and the fluctuation theorem for each subsystem should be modified, and for the case of external...

could eventually occur via the Poincaré recurrence theorem, thermal fluctuations, and fluctuation theorem. Through this, another universe, identical to the...

mechanics. The Liouville equation is integral to the proof of the fluctuation theorem from which the second law of thermodynamics can be derived. It is...

theory) Fluctuation dissipation theorem (physics) Fluctuation theorem (statistical mechanics) H-theorem (thermodynamics) Hohenberg–Kohn theorems (density...

include chemical reactions and flows of particles and heat. The fluctuation–dissipation theorem is the basic knowledge obtained from applying non-equilibrium...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

fluctuations in STh. The thermodynamic entropy may go "down" as well as up. A more sophisticated analysis is given by the entropy Fluctuation Theorem...

spontaneous entropy decrease by the Poincaré recurrence theorem, thermal fluctuations, and the fluctuation theorem. The heat death scenario is compatible with any...

In density functional theory (DFT) the adiabatic-connection fluctuation-dissipation theorem (ACFD) is an exact formula for the Kohn–Sham correlation energy...

Orbital-free density functional theory Adiabatic connection fluctuation dissipation theorem Görling-Levy pertubation theory Optimized effective potential...

mechanics, the equipartition theorem relates the temperature of a system to its average energies. The equipartition theorem is also known as the law of...

partial resolution to this paradox is rigorously provided for by the fluctuation theorem which relies on carefully keeping track of time averaged quantities...

thermodynamics Third law of thermodynamics Clausius–Duhem inequality Fluctuation theorem Heat death of the universe History of thermodynamics Jarzynski equality...

23D. doi:10.1088/1742-5468/2007/07/P07023. Maes, C. (1999). "The fluctuation theorem as a Gibbs property". J. Stat. Phys. 95 (1–2): 367–392. arXiv:math-ph/9812015...

thermodynamics and statistical mechanics. He discovered the Crooks fluctuation theorem, a general statement about the free energy difference between the...

Hohenberg–Mermin–Wagner theorem or Mermin–Wagner theorem (also known as Mermin–Wagner–Berezinskii theorem or Mermin–Wagner–Coleman theorem) states that continuous...

needed] Non-equilibrium thermodynamics Stochastic thermodynamics Fluctuation theorem Linear response theory Maes, Christian (2016). "Frenesy: Time-symmetric...

dense gases and liquids focuses on the Green–Kubo relations, the fluctuation theorem, and other approaches instead. The idea that the second law of thermodynamics...

fluctuation, or by a thermal fluctuation generally involving nucleation. By one calculation, a Boltzmann brain would appear as a quantum fluctuation in...

best known for her contributions towards understanding the fluctuation theorem. This theorem shows the second law of thermodynamics and the zeroth law...

mechanics Information theory Quantum entanglement Quantum decoherence Fluctuation theorem Black hole entropy Black hole information paradox Entropy (information...

statistical impossibility for all practical considerations (see Crooks fluctuation theorem). A stochastic process is time-reversible if the joint probabilities...