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相关论文: Noncovalent Interactions by QMC: Speedup by One-Pa…

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We study the dynamics of one-dimensional (1D) interacting particles simulated with the event-chain Monte Carlo algorithm (ECMC). We argue that previous versions of the algorithm suffer from a mismatch in the factor potential between…

统计力学 · 物理学 2019-04-10 Ze Lei , Werner Krauth , A. C. Maggs

We provide a mathematical study of the modified Diffusion Monte Carlo (DMC) algorithm introduced in the companion article \cite{DMC}. DMC is a simulation technique that uses branching particle systems to represent expectations associated…

概率论 · 数学 2014-04-11 Martin Hairer , Jonathan Weare

We have used diffusion quantum Monte Carlo (DMC) calculations to study the pressure-induced phase transition from the diamond to $\beta$-tin structure in silicon. The calculations employ the pseudopotential technique and systematically…

材料科学 · 物理学 2016-08-16 D. Alfè , M. J. Gillan , M. D. Towler , R. J. Needs

Simulating nonadiabatic effects with many-body wave function approaches is an open field with many challenges. Recent interest has been driven by new algorithmic developments and improved theoretical understanding of properties unique to…

化学物理 · 物理学 2016-07-12 Norm Tubman , Yubo Yang , Sharon Hammes-Schiffer , David Ceperley

In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially distributed particle systems on a lattice. FS-KMC are…

数值分析 · 数学 2012-08-07 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac

We report a Monte Carlo simulation of deposition of magnetic particles on a one-dimensional substrate. Incoming particles interact with those that are already part of the deposit via a dipole-dipole potential. The strength of the dipolar…

凝聚态物理 · 物理学 2009-11-10 F. de los Santos , M. Tasinkevych , J. M. Tavares , P. I. C. Teixeira

We have used Dynamic Monte Carlo (DMC) methods and analytical techniques to analyze Single-File Systems for which diffusion is infinitely-fast. We have simplified the Master Equation removing the fast reactions and we have introduced a DMC…

化学物理 · 物理学 2009-11-07 s. V. Nedea , A. P. J. Jansen , J. J. Lukkien

Recently Schautz and Flad concluded that the Hellmann-Feynman theorem holds within the fixed-node diffusion quantum Monte Carlo (DMC) method. We show that the Hellmann-Feynman expression is not in general equal to the derivative of the DMC…

凝聚态物理 · 物理学 2009-10-31 K. C. Huang , R. J. Needs , G. Rajagopal

Using the homogeneous electron gas (HEG) as a model, we investigate the sources of error in the `initiator' adaptation to Full Configuration Interaction Quantum Monte Carlo (i-FCIQMC), with a view to accelerating convergence. In particular…

计算物理 · 物理学 2012-06-26 James J. Shepherd , George H. Booth , Ali Alavi

According to Landau's Fermi liquid theory, the main properties of the quasiparticle excitations of an electron gas are embodied in the effective mass $m^*$, which determines the energy of a single quasiparticle, and the Landau interaction…

强关联电子 · 物理学 2021-08-25 Sam Azadi , N. D. Drummond , W. M. C. Foulkes

The energy gap between the lowest-lying singlet and triplet states is an important quantity in chemical photocatalysis, with relevant applications ranging from triplet fusion in optical upconversion to the design of organic light-emitting…

化学物理 · 物理学 2019-08-29 James Shee , Evan J. Arthur , Shiwei Zhang , David R. Reichman , Richard A. Friesner

Employing a classical density-functional description of liquid environments, we introduce a rigorous method for the diffusion quantum Monte Carlo calculation of free energies and thermodynamic averages of solvated systems that requires…

Existence and local-uniqueness theorems for weak solutions of a system consisting of the drift-diffusion-Poisson equations and the Poisson-Boltzmann equation, all with stochastic coefficients, are presented. For the numerical approximation…

偏微分方程分析 · 数学 2017-04-05 Leila Taghizadeh , Amirreza Khodadadian , Clemens Heitzinger

For noncovalent interactions (NCIs), the CCSD(T) coupled cluster method is widely regarded as the `gold standard'. With localized orbital approximations, benchmarks for ever larger NCI complexes are being published; yet tantalizing evidence…

化学物理 · 物理学 2025-03-13 Vladimir Fishman , Michał Lesiuk , Jan M. L. Martin , A. Daniel Boese

We present a study of spin-unpolarized and spin-polarized two-dimensional uniform electron liquids using variational and diffusion quantum Monte Carlo (VMC and DMC) methods with Slater-Jastrow-backflow trial wave functions. Ground-state VMC…

强关联电子 · 物理学 2025-11-11 Sam Azadi , N. D. Drummond , S. M. Vinko

The current investigation focuses on detailed analysis of the anchor based optimization approach (ABOA), its comparison with alternative global fitting protocols and on the global analysis of the truncation of basis effects in the…

核理论 · 物理学 2024-06-05 A. Taninah , B. Osei , A. V. Afanasjev , U. Perera , S. Teeti

We present a method for optimizing the location of the fermion ground-state nodes using a combination of diffusion Monte Carlo (DMC) and projected gradient descent (PGD). A PGD iteration shifts the parameters of an arbitrary node-fixing…

计算物理 · 物理学 2022-04-06 John McFarland , Efstratios Manousakis

Kinetic Monte-Carlo (KMC) simulations are a well-established numerical tool to investigate the time-dependent surface morphology in molecular beam epitaxy (MBE) experiments. In parallel, simplified approaches such as limited mobility (LM)…

计算物理 · 物理学 2019-09-18 Thomas Martynec , Sabine H. L. Klapp

A quantum Monte Carlo study of the atomization energies for the G2 set of molecules is presented. Basis size dependence of diffusion Monte Carlo atomization energies is studied with a single determinant Slater-Jastrow trial wavefunction…

化学物理 · 物理学 2015-06-04 F. R. Petruzielo , Julien Toulouse , C. J. Umrigar

A paramount goal in the field of nuclear physics is to unify ab-initio treatments of bound and unbound states. The position-space quantum Monte Carlo (QMC) methods have a long history of successful bound state calculations in light systems…

核理论 · 物理学 2023-08-29 Abraham R. Flores , Kenneth M. Nollett