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Detailed balance information


The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions). It states that at equilibrium, each elementary process is in equilibrium with its reverse process.

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Detailed balance

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The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions)...

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Balance equation

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are somewhere between detailed balance and global balance equations. Any solution π {\displaystyle \pi } to the local balance equations is always a solution...

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Kinetic theory of gases

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reversibility), the kinetic theory is also connected to the principle of detailed balance, in terms of the fluctuation-dissipation theorem (for Brownian motion)...

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Einstein coefficients

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cannot be affected by the presence or absence of other excited atoms. Detailed balance (valid only at equilibrium) requires that the change in time of the...

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Quantum superposition

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probability theory, the probability m for the stochastic matrix obeys detailed balance when the stationary distribution ρ n {\displaystyle \rho _{n}} has...

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Microscopic reversibility

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According to Boltzmann, this microreversibility implies the principle of detailed balance for collisions: at the equilibrium ensemble each collision is equilibrated...

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Perovskite solar cell

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33%. Values of the detailed balance limit are available in tabulated form and a MATLAB program for implementing the detailed balance model has been written...

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Onsager reciprocal relations

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kinetics, the Onsager relations are closely connected to the principle of detailed balance and follow from them in the linear approximation near equilibrium....

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Barker code

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is an alternative to Metropolis–Hastings, which doesn't satisfy the detailed balance condition. Barker's algorithm does converge to the target distribution...

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Grigoriy Yablonsky

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Gorban, Yablonsky developed the theory of chemical thermodynamics and detailed balance in the limit of irreversible reactions. A simple scheme for the nonlinear...

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Rate equation

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forward and backward reactions are equal, a principle called detailed balance. Detailed balance is a property of the stoichiometric matrix N i j {\displaystyle...

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Master equation

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A_{kk}P_{k}=-\sum _{\ell \neq k}(A_{\ell k}P_{k}).} The master equation exhibits detailed balance if each of the terms of the summation disappears separately at equilibrium—i...

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Ernst Stueckelberg

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Physical Review.[citation needed] In 1952 he proved the principle of semi-detailed balance for kinetics without microscopic reversibility. In 1953 he and the...

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Solar cell

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theoretical limit for an IB device with one midgap energy level using detailed balance. They assumed no carriers were collected at the IB and that the device...

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Entropy

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defined for any Markov processes with reversible dynamics and the detailed balance property. In Boltzmann's 1896 Lectures on Gas Theory, he showed that...

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Ising model

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in state μ. It then uses acceptance probabilities A(μ, ν) so that detailed balance is satisfied. If the new state ν is accepted, then we move to that...

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Glauber dynamics

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same distribution, as long as the algorithm satisfies ergodicity and detailed balance. In both algorithms, for any change in energy, p ( Δ E ) ≠ 0 {\displaystyle...

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Quantum dot solar cell

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in part alleviated by using multiple junction implementations). The detailed balance calculation shows that this efficiency can not exceed 33% if one uses...

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Holographic principle

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they would also have to emit them in the right amount to maintain detailed balance. Time-independent solutions to field equations do not emit radiation...

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Random walk

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reversibility. Roughly speaking, this property, also called the principle of detailed balance, means that the probabilities to traverse a given path in one direction...

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