Topic
Dynamic Monte Carlo method
About: Dynamic Monte Carlo method is a research topic. Over the lifetime, 13294 publications have been published within this topic receiving 371256 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the authors compute two-time correlation and response functions and find that, as expected from the exact solution of a certain mean-field model, in the limit of $N$ going to infinity, this parameter is equal to one (no violation of FDT) in the quasiequilibrium regime (short separation of times), and zero in the aging regime.
Abstract: Numerical simulations of various domain growth systems are reported in order to compute the parameter describing the violation of fluctuation-dissipation theorem (FDT) in aging phenomena. We compute two-time correlation and response functions and find that, as expected from the exact solution of a certain mean-field model [equivalent to the $O(N)$ model in three dimensions, in the limit of $N$ going to infinity], this parameter is equal to one (no violation of FDT) in the quasiequilibrium regime (short separation of times), and zero in the aging regime.
121 citations
TL;DR: In this article, a method based on Monte Carlo techniques is presented for evaluating thermonuclear reaction rates, which results in a median (Monte Carlo) rate which agrees under certain conditions with the commonly reported recommended "classical" rate.
120 citations
TL;DR: An event-driven algorithm is presented that generalizes the recent hard-sphere event-chain Monte Carlo method without introducing discretizations in time or in space and breaks detailed balance, but satisfies maximal global balance.
Abstract: In this article, we present an event-driven algorithm that generalizes the recent hard-sphere event-chain Monte Carlo method without introducing discretizations in time or in space. A factorization of the Metropolis filter and the concept of infinitesimal Monte Carlo moves are used to design a rejection-free Markov-chain Monte Carlo algorithm for particle systems with arbitrary pairwise interactions. The algorithm breaks detailed balance, but satisfies maximal global balance and performs better than the classic, local Metropolis algorithm in large systems. The new algorithm generates a continuum of samples of the stationary probability density. This allows us to compute the pressure and stress tensor as a byproduct of the simulation without any additional computations.
120 citations
TL;DR: The reciprocity principle for photon paths, employed in one of the accelerated models, is shown to simplify the computations of the distribution of the emitted fluorescence drastically, and a so-called white Monte Carlo approach is suggested for efficient simulations of one excitation wavelength combined with a wide range of emission wavelengths.
Abstract: Two efficient Monte Carlo models are described, facilitating predictions of complete time-resolved fluorescence spectra from a light-scattering and light-absorbing medium. These are compared with a third, conventional fluorescence Monte Carlo model in terms of accuracy, signal-to-noise statistics, and simulation time. The improved computation efficiency is achieved by means of a convolution technique, justified by the symmetry of the problem. Furthermore, the reciprocity principle for photon paths, employed in one of the accelerated models, is shown to simplify the computations of the distribution of the emitted fluorescence drastically. A so-called white Monte Carlo approach is finally suggested for efficient simulations of one excitation wavelength combined with a wide range of emission wavelengths. The fluorescence is simulated in a purely scattering medium, and the absorption properties are instead taken into account analytically afterward. This approach is applicable to the conventional model as well as to the two accelerated models. Essentially the same absolute values for the fluorescence integrated over the emitting surface and time are obtained for the three models within the accuracy of the simulations. The time-resolved and spatially resolved fluorescence exhibits a slight overestimation at short delay times close to the source corresponding to approximately two grid elements for the accelerated models, as a result of the discretization and the convolution. The improved efficiency is most prominent for the reverse-emission accelerated model, for which the simulation time can be reduced by up to two orders of magnitude.
120 citations
TL;DR: The first section of this paper is a mathematical construction of a certain Monte Carlo procedure for sampling from the distribution by defining a particular random variable.
Abstract: The first section of this paper is a mathematical construction of a certain Monte Carlo procedure for sampling from the distributionThe construction begins by defining a particular random variable ...
120 citations