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The principles behind the computation of protein-ligand binding free energies by Monte Carlo integration are described in detail. The simulation provides gas-phase binding free energies that can be converted to aqueous energies by solvation…

化学物理 · 物理学 2017-01-25 Matthew Clark , Jeffrey S. Wiseman

This work is devoted to the thermodynamics of high-temperature dense hydrogen plasmas in the pressure region between $10^{-1}$ and $10^2$ Mbar. In particular we present for this region results of extensive calculations based on a recently…

等离子体物理 · 物理学 2009-11-07 V. S. Filinov , M. Bonitz , W. Ebeling , V. E. Fortov

We present an \textit{ab initio} auxiliary field quantum Monte Carlo method for studying the electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The algorithm marries the \textit{ab initio} phaseless…

强关联电子 · 物理学 2018-11-13 Yuan Liu , Minsik Cho , Brenda Rubenstein

In the last few years we have been developing a Monte Carlo simulation method to cope with systems of many electrons and ions in the Born-Oppenheimer (BO) approximation, the Coupled Electron-Ion Monte Carlo Method (CEIMC). Electronic…

计算物理 · 物理学 2007-05-23 Carlo Pierleoni , David M. Ceperley

In a recent Letter [T. Dornheim et al., Phys. Rev. Lett. 121, 255001 (2018)] we have presented the first ab initio results for the dynamic structure factor $S(\mathbf{q},\omega)$ of the uniform electron gas for conditions ranging from the…

等离子体物理 · 物理学 2019-06-19 Simon Groth , Tobias Dornheim , Jan Vorberger

We describe a method to evaluate electronic forces by Path Integral Monte Carlo (PIMC). Electronic correlations, as well as thermal effects, are included naturally in this method. For fermions, a restricted approach is used to avoid the…

凝聚态物理 · 物理学 2009-10-31 Fenghua Zong , D. M. Ceperley

The discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action…

统计力学 · 物理学 2015-06-25 Dong-Hee Kim , Yu-Cheng Lin , Heiko Rieger

The numerically exact path integral Monte Carlo approach for the real-time evolution of dissipative quantum systems (PIMC), particularly suited for systems with discrete configuration space (tight-binding systems), is extended to treat…

统计力学 · 物理学 2009-11-11 Lothar Muehlbacher , Charlotte Escher , Joachim Ankerhold

We present a history-dependent Monte Carlo scheme for the efficient calculation of the free-energy of quantum systems, inspired by the Wang-Landau sampling and metadynamics method. When embedded in a path integral formulation, it is of…

统计力学 · 物理学 2009-04-08 Yanier Crespo , Alessandro Laio , Giuseppe E. Santoro , Erio Tosatti

The recently developed density matrix quantum Monte Carlo (DMQMC) algorithm stochastically samples the N -body thermal density matrix and hence provides access to exact properties of many-particle quantum systems at arbitrary temperatures.…

强关联电子 · 物理学 2015-10-15 Fionn D. Malone , N. S. Blunt , James J. Shepherd , D. K. K. Lee , J. S. Spencer , W. M. C. Foulkes

We here apply the recently developed initiator density matrix quantum Monte Carlo (i-DMQMC) to a wide range of chemical environments using atoms and molecules in vacuum. i-DMQMC samples the exact density matrix of a Hamiltonian at finite…

化学物理 · 物理学 2019-12-03 Hayley R. Petras , Sai Kumar Ramadugu , Fionn D. Malone , James J. Shepherd

We have developed and implemented a new quantum molecular dynamics approximation that allows fast and accurate simulations of dense plasmas from cold to hot conditions. The method is based on a carefully designed orbital-free implementation…

等离子体物理 · 物理学 2015-06-22 Travis Sjostrom , Jerome Daligault

In this work, we propose a Path Integral Monte Carlo (PIMC) approach based on discretized continuous degrees of freedom and rejection-free Gibbs sampling. The ground state properties of a chain of planar rotors with dipole-dipole…

A multilevel approach to sample the potential energy surface in a path integral formalism is proposed. The purpose is to reduce the required number of ab initio evaluations of energy and forces in ab initio path integral molecular dynamics…

计算物理 · 物理学 2014-12-22 Hua Y. Geng

Path integral Monte Carlo (PIMC) simulations have become an important tool for the investigation of the statistical mechanics of quantum systems. I discuss some of the history of applying the Monte Carlo method to non-relativistic quantum…

物理学史与哲学 · 物理学 2016-11-23 Tilman Sauer

In this paper we develop a direct simulation Monte Carlo (DSMC) method for simulating highly nonequilibrium dynamics of nearly degenerate ultra-cold gases. We show that our method can simulate the high-energy collision of two thermal clouds…

量子气体 · 物理学 2012-10-16 A. C. J. Wade , D. Baillie , P. B. Blakie

We present extensive new \emph{ab initio} path integral Monte Carlo (PIMC) simulations of normal liquid $^3$He without any nodal constraints. This allows us to study the effects of temperature on different structural properties like the…

计算物理 · 物理学 2021-09-10 Tobias Dornheim , Zhandos Moldabekov , Jan Vorberger , Burkhard Militzer

In the long-time pursuit of the solution to calculate the partition function (or free energy) of condensed matter, Monte-Carlo-based nested sampling should be the state-of-the-art method, and very recently, we established a direct integral…

统计力学 · 物理学 2020-01-08 Le-Cheng Gong , Bo-Yuan Ning , Tsu-Chien Weng , Xi-Jing Ning

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and Fermi-statistics. This allows us to study the…

计算物理 · 物理学 2020-08-12 Tobias Dornheim

A detailed description is provided of a new Worm Algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The algorithm is formulated within the…

计算物理 · 物理学 2009-11-11 M. Boninsegni , N. V. Prokof'ev , B. V. Svistunov