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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.
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104 citations
TL;DR: A method for calculating the production of direct photons beyond the leading-logarithm approximation has been developed, utilizing a combination of analytic and Monte Carlo integration methods.
Abstract: A method for calculating the production of direct photons beyond the leading-logarithm approximation has been developed, utilizing a combination of analytic and Monte Carlo integration methods. The method is described and examples are given, including a comparison with experimental results for the inclusive single-photon invariant cross section and the photon-plus-jet cross section. The flexibility of the Monte Carlo technique makes it straightforward to calculate a variety of observables and to take into account experimental cuts while still retaining the next-to-leading-logarithm terms.
104 citations
TL;DR: A short review of the quantum statistical Monte Carlo method based on the equivalence theorem that d-dimensional quantum systems are mapped onto (d+1)-dimensional classical systems is given in this article.
Abstract: A short review is given concerning the quantum statistical Monte Carlo method based on the equivalence theorem(1) thatd-dimensional quantum systems are mapped onto (d+1)-dimensional classical systems. The convergence property of this approximate tansformation is discussed in detail. Some applications of this geneal appoach to quantum spin systems are reviewed. A new Monte Carlo method, “thermo field Monte Carlo method,” is presented, which is an extension of the projection Monte Carlo method at zero temperature to that at finite temperatures.
103 citations
TL;DR: In this paper, a full-band cellular automaton (CA) code for simulation of electron and hole transport in Si and GaAs is presented, where the entire Brillouin zone is discretized using a non-uniform mesh in k-space, and a transition table is generated between all initial and final states.
Abstract: We present a fullband cellular automaton (CA) code for simulation of electron and hole transport in Si and GaAs. In this implementation, the entire Brillouin zone is discretized using a nonuniform mesh in k-space, and a transition table is generated between all initial and final states on the mesh, greatly simplifying the final state selection of the conventional Monte Carlo algorithm. This method allows for fully anisotropic scattering rates within the fullband scheme, at the cost of increased memory requirements for the transition table itself. Good agreement is obtained between the CA model and previously reported results for the velocity-field characteristics and high field distribution function, which illustrate the potential accuracy of the technique. A hybrid CA/Monte Carlo algorithm is introduced which helps alleviate the memory problems of the CA method while preserving the speed up and accuracy.
103 citations
TL;DR: The review offers a general study of the classical theories and algorithms that are foundational to Brownian Dynamics, Molecular Dynamics, and Monte Carlo simulations, and holds promising potential for effective modeling of transport in colloidal systems.
103 citations