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We propose an algorithm for molecular dynamics or Monte Carlo simulations that uses an interpolation procedure to estimate potential energy values from energies and gradients evaluated previously at points of a simplicial mesh. We chose an…

计算物理 · 物理学 2020-01-07 Konstantin Karandashev , Jiri Vanicek

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

统计力学 · 物理学 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

Warm dense matter (WDM) is an active field of research, with applications ranging from astrophysics to inertial confinement fusion. Ionization degree and continuum lowering are important quantities to understand how materials behave under…

In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some functionals of the homogenized coefficients, or of the…

数值分析 · 数学 2013-01-15 Yalchin Efendiev , Cornelia Kronsbein , Frederic Legoll

Ab initio Monte Carlo simulations have been performed to determine the equilibrium properties of liquid lithium and lithium clusters at different temperatures. First-principles density-functional methods were employed to calculate the…

材料科学 · 物理学 2007-05-23 Sanwu Wang , Steven J. Mitchell , Per Arne Rikvold

We propose a Multi-Cell Monte Carlo algorithm, or (MC)^2, for predicting stable phases in chemically complex crystalline systems. Free atomic transfer among cells is achieved via the application of the lever rule, where an assigned molar…

材料科学 · 物理学 2018-11-13 Changning Niu , You Rao , Wolfgang Windl , Maryam Ghazisaeidi

Discrete-state, continuous-time Markov models are becoming commonplace in the modelling of biochemical processes. The mathematical formulations that such models lead to are opaque, and, due to their complexity, are often considered…

定量方法 · 定量生物学 2017-10-31 Christopher Lester

We have designed an improved algorithm that enables us to simulate the chemistry of cold dense interstellar clouds with a full gas-grain reaction network. The chemistry is treated by a unified microscopic-macroscopic Monte Carlo approach…

地球与行星天体物理 · 物理学 2015-06-19 Qiang Chang , Eric herbst

An alternative Monte Carlo estimator for the one-body density rho(r) is presented. This estimator has a simple form and can be readily used in any type of Monte Carlo simulation. Comparisons with the usual regularization of the…

计算物理 · 物理学 2020-12-17 Roland Assaraf , Michel Caffarel , Anthony Scemama

A simple formula for the ratio of the number of odd- and even-parity states as a function of temperature is derived. This formula is used to calculate the ratio of level densities of opposite parities as a function of excitation energy. We…

核理论 · 物理学 2009-10-31 Y. Alhassid , G. F. Bertsch , S. Liu , H. Nakada

Variational ab-initio methods in quantum chemistry stand out among other methods in providing direct access to the wave function. This allows in principle straightforward extraction of any other observable of interest, besides the energy,…

We describe a general radiative equilibrium and temperature correction procedure for use in Monte Carlo radiation transfer codes with sources of temperature-independent opacity, such as astrophysical dust. The technique utilizes the fact…

天体物理学 · 物理学 2010-04-08 J. E. Bjorkman , Kenneth Wood

We propose a Multi-level Monte Carlo technique to accelerate Monte Carlo sampling for approximation of properties of materials with random defects. The computational efficiency is investigated on test problems given by tight-binding models…

数值分析 · 数学 2016-11-30 Petr Plecháč , Erik von Schwerin

A quantitative understanding of neutrino-nucleus interactions is demanded to achieve precise measurement of neutrino oscillations, and hence the determination of their masses. In addition, next generation detectors will be able to detect…

核理论 · 物理学 2016-12-21 Alessandro Lovato

We perform a calculation of dense and hot nuclear matter where the mean interaction between nucleons is described by in-medium effective fields and where we employ analytical approximations of the Fermi integrals. We generalize a previous…

核理论 · 物理学 2024-04-19 Odilon Lourenço , Mariana Dutra , Jérôme Margueron

The crystallization of a metastable melt is one of the most important non equilibrium phenomena in condensed matter physics, and hard sphere colloidal model systems have been used for several decades to investigate this process by…

软凝聚态物质 · 物理学 2015-05-20 Tanja Schilling , Sven Dorosz , Hans Joachim Schoepe , George Opletal

Accurate quantum Monte Carlo calculations of ground and low-lying excited states of light p-shell nuclei are now possible for realistic nuclear Hamiltonians that fit nucleon-nucleon scattering data. At present, results for more than 30…

核理论 · 物理学 2008-11-26 Steven C. Pieper , R. B. Wiringa

We perform large-scale shell model Monte Carlo (SMMC) calculations for many nuclei in the mass range A=56-65 in the complete pfg_{9/2}d_{5/2} model space using an effective quadrupole-quadrupole+pairing residual interaction. Our…

核理论 · 物理学 2009-11-07 D. J. Dean , K. Langanke , J. M. Sampaio

We present an efficient Monte Carlo algorithm for determining the density of states which is based on the statistics of transition probabilities between states. By measuring the infinite temperature transition probabilities--that is, the…

软凝聚态物质 · 物理学 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

Iterative Monte Carlo algorithm has been constructed and tested for quantification of X-ray fluorescence analysis in order to determine the atomic composition of solid materials. The calculation model uses simulation code MCNP6 that…

计算物理 · 物理学 2019-06-14 I. Szaloki , A. Gerenyi , G. Radocz