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The Kinetic-Diffusion Monte Carlo (KDMC) method is a powerful tool for simulating neutral particles in fusion reactors. It is a hybrid fluid-kinetic method that is significantly faster than pure kinetic methods at the cost of a small bias…

数值分析 · 数学 2025-09-05 Thijs Steel , Vince Maes , Giovanni Samaey

Microscopic processes on surfaces such as adsorption, desorption, diffusion and reaction of interacting particles can be simulated using kinetic Monte Carlo (kMC) algorithms. Even though kMC methods are accurate, they are computationally…

数学物理 · 物理学 2013-12-24 Yannis Pantazis , Markos Katsoulakis

We develop a formalism and present an algorithm for optimization of the trial wave-function used in fixed-node diffusion quantum Monte Carlo (DMC) methods. We take advantage of a basic property of the walker configuration distribution…

强关联电子 · 物理学 2015-05-13 Fernando A. Reboredo , Randolph Q. Hood , Paul R. C. Kent

Ab initio quantum Monte Carlo (QMC) is a stochastic approach for solving the many-body Schr\"odinger equation without resorting to one-body approximations. QMC algorithms are readily parallelizable via ensembles of $N_w$ walkers, making…

化学物理 · 物理学 2025-08-19 Kousuke Nakano , Sandro Sorella , Michele Casula

We present a novel computational method to simulate accurately a wide range of interfacial patterns whose growth is limited by a large scale diffusion field. To illustrate the computational power of this method, we demonstrate that it can…

材料科学 · 物理学 2009-10-31 Mathis Plapp , Alain Karma

The Dynamic Monte Carlo (DMC) method is an established molecular simulation technique for the analysis of the dynamics in colloidal suspensions. An excellent alternative to Brownian Dynamics or Molecular Dynamics simulation, DMC is…

软凝聚态物质 · 物理学 2020-07-15 Fabián A. García Daza , Alejandro Cuetos , Alessandro Patti

We present two Diffusion Monte Carlo (DMC) algorithms for systems of ultracold quantum gases featuring synthetic spin-orbit interactions. The first one is a discrete spin generalization of the T- moves spin-orbit DMC, which provides an…

量子气体 · 物理学 2018-12-05 J. Sanchez-Baena , J. Boronat , F. Mazzanti

Fixed-node diffusion Monte Carlo (DMC) is a stochastic algorithm for finding the lowest energy many-fermion wave function with the same nodal surface as a chosen trial function. It has proved itself among the most accurate methods available…

凝聚态物理 · 物理学 2009-10-31 W. M. C. Foulkes , Randolph Q. Hood , R. J. Needs

We propose a modification, based on the RESTART (repetitive simulation trials after reaching thresholds) and DPR (dynamics probability redistribution) rare event simulation algorithms, of the standard diffusion Monte Carlo (DMC) algorithm.…

概率论 · 数学 2014-04-10 Martin Hairer , Jonathan Weare

Fixed node diffusion quantum Monte Carlo (FN-DMC) is an increasingly used computational approach for investigating the electronic structure of molecules, solids, and surfaces with controllable accuracy. It stands out among equally accurate…

计算物理 · 物理学 2019-10-03 Andrea Zen , Jan Gerit Brandenburg , Angelos Michaelides , Dario Alfè

We present a new efficient method for Monte Carlo simulations of diffusion-reaction processes. First introduced by us in [Phys. Rev. Lett., 97:230602, 2006], the new algorithm skips the traditional small diffusion hops and propagates the…

材料科学 · 物理学 2013-05-29 T. Oppelstrup , V. V. Bulatov , A. Donev , M. H. Kalos , G. H. Gilmer , B. Sadigh

Diffusion Monte Carlo (DMC) is being recognized as a higher-accuracy, albeit more computationally expensive, alternative to Density Functional Theory (DFT) for energy predictions of catalytic systems. A major computational bottleneck in the…

材料科学 · 物理学 2022-10-12 Gopal R. Iyer , Brenda M. Rubenstein

On the base of Diffusion Monte-Carlo method it is developed a new Complex Diffusion Monte-Carlo (CDMC) method allowing to simulate the quantum systems with complex wave function. There are no approximations on the calculation of modulus and…

凝聚态物理 · 物理学 2007-05-23 B. Abdullaev , M. Musakhanov , A. Nakamura

The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a {\bf fixed}…

数值分析 · 数学 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

A novel hybrid Monte Carlo transport scheme is demonstrated in a scene with solar illumination, scattering and absorbing 2D atmosphere, a textured reflecting mountain, and a small detector located in the sky (mounted on a satellite or a…

数学物理 · 物理学 2015-05-28 Guillaume Bal , Anthony Davis , Ian Langmore

Cellular scale decision making is modulated by the dynamics of signalling molecules and their diffusive trajectories from a source to small absorbing sites on the cellular surface. Diffusive capture problems are computationally challenging…

数值分析 · 数学 2025-07-16 Alan E. Lindsay , Andrew J. Bernoff

We provide a pedagogical introduction to the two main variants of real-space quantum Monte Carlo methods for electronic-structure calculations: variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC). Assuming no prior knowledge on…

化学物理 · 物理学 2015-08-13 Julien Toulouse , Roland Assaraf , C. J. Umrigar

Quantum Monte Carlo (QMC) methods represent a powerful family of computational techniques for tackling complex quantum many-body problems and performing calculations of stationary state properties. QMC is among the most accurate and…

材料科学 · 物理学 2025-01-08 Alfonso Annarelli , Dario Alfè , Andrea Zen

The Kinetic Monte Carlo (KMC) method has become an important tool for examination of phenomena like surface diffusion and thin film growth because of its ability to carry out simulations for time scales that are relevant to experiments. But…

材料科学 · 物理学 2007-05-23 Talat S. Rahman , Abdelkader Kara , Altaf Karim , Oleg Trushin

We propose improved versions of the standard diffusion Monte Carlo (DMC) and the lattice regularized diffusion Monte Carlo (LRDMC) algorithms. For the DMC method, we refine a scheme recently devised to treat non-local pseudopotential in a…

其他凝聚态物理 · 物理学 2015-05-18 Michele Casula , Saverio Moroni , Sandro Sorella , Claudia Filippi
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