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Master equation

About: Master equation is a research topic. Over the lifetime, 10541 publications have been published within this topic receiving 276095 citations.


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TL;DR: In this paper, the master equations for vector and scalar type perturbations of static vacuum Lovelock black holes in any dimension were derived. And they were used to derive the full set of master equations that governs all types of gravitational perturbation of static vaca Lovelocks in any dimensions.
Abstract: In this paper, we derive the master equations for gravitational perturbations of vector and scalar type for static vacuum Lovelock black holes. Together with our previous work on the tensor type perturbation, we now provide the full set of master equations that governs all types of gravitational perturbations of static vacuum Lovelock black holes in any dimensions. Subject Index: 453

81 citations

Journal ArticleDOI
TL;DR: In this paper, a generalized master equation (GME) describing the incoherent motion of an excitation in a disordered system is developed and the connection of the GME to the semi-Markovian theory of Scher and Lax, the generalized continuous random walk, and the self-energy approaches to the temporal properties of the transport is discussed.
Abstract: A generalized master equation (GME) describing the incoherent motion of an excitation in a disordered system is developed. The connection of the GME to the semi‐Markovian theory of Scher and Lax, the generalized continuous random walk, and the self‐energy approaches to the temporal properties of the transport is discussed. The theory is used in a model calculation to compute the mean square displacement and the probability of the excitation to remain at the origin as one dimensional systems, in which only nearest neighbor interactions are included.

81 citations

Journal ArticleDOI
TL;DR: In this paper, a modification of the master equation approach is presented to simulate the minimum yield up to a depth z equi where the equilibrium is reached and modify the initial distribution of the ions in the master-equation approach in this way that the calculated minimum yield at that depthz equi is equal to the corresponding simulated one.
Abstract: The master equation approach of dechanneling based on the channeling concept of Lindhard underestimates the Rutherford backscattering minimum yield of perfect crystals mainly at small depths where the equilibrium in the transverse energy shell is not yet reached. This paper presents a modification of the master equation approach which overcomes this problem. The main idea is to simulate the minimum yield up to a depth z equi where the equilibrium is reached and modify the initial distribution of the ions in the master equation approach in this way that the calculated minimum yield at that depth z equi is equal to the corresponding simulated one. Because the simulated depth interval is small, the numerical calculation is still fast enough to be applied for the evaluation of Rutherford backscattering data. For some examples of perfect crystals the results of the calculated minimum yields are compared with those obtained by full simulations and in two cases also with experimental data.

81 citations

Journal ArticleDOI
TL;DR: It is shown that the fluctuation theorems provide a method to determine the affinity or thermodynamic force driving the motor, given in terms of the free enthalpy of the chemical reactions.
Abstract: The fluctuation theorems for the currents and the dissipated work are considered for molecular motors which are driven out of equilibrium by chemical reactions. Because of the molecular fluctuations, these nonequilibrium processes are described by stochastic models based on a master equation. Analytical expressions are derived for the fluctuation theorems, allowing us to obtain predictions on the work dissipated in the motor as well as on its rotation near and far from thermodynamic equilibrium. We show that the fluctuation theorems provide a method to determine the affinity or thermodynamic force driving the motor. This affinity is given in terms of the free enthalpy of the chemical reactions. The theorems are applied to the F1 rotary motor which turns out to be a stiff system typically functioning in the nonlinear regime of nonequilibrium thermodynamics. We show that this nonlinearity confers a robustness to the functioning of the molecular motor.

81 citations

Journal ArticleDOI
TL;DR: In this article, a multireference configuration interaction based quantum chemical estimates are directly implemented in a variational transition state theory based analysis of the kinetics of methyl radical recombination.
Abstract: Multireference configuration interaction based quantum chemical estimates are directly implemented in a variational transition state theory based analysis of the kinetics of methyl radical recombination. Separations ranging from 5.5 to 1.9 A are considered for two separate forms for the reaction coordinate. The a priori prediction for the high-pressure limit rate constant gradually decreases with increasing temperature, with a net decrease of a factor of 1.7 from 300 to 1700 K. Near room temperature, this theoretical estimate is in quantitative agreement with the experimental data. At higher temperatures, comparison between theory and experiment requires a model for the pressure dependence. Master equation calculations employing the exponential down energy transfer model suggest that the theoretical and experimental high-pressure limits gradually diverge with increasing temperature, with the former being about 3 times greater than the latter at 1700 K. The comparison with experiment also suggests that the...

80 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023140
2022344
2021431
2020460
2019420
2018427