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We perform a thorough analysis on the choice of estimators for random series path integral methods. In particular, we show that both the thermodynamic (T-method) and the direct (H-method) energy estimators have finite variances and are…

统计力学 · 物理学 2009-11-10 Cristian Predescu , Dubravko Sabo , J. D. Doll , David L. Freeman

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 path integral molecular dynamics (PIMD) method provides a convenient way to compute the quantum mechanical structural and thermodynamic properties of condensed phase systems at the expense of introducing an additional set of…

Background: Multi-collimator proton minibeam radiation therapy (MC-pMBRT) has recently emerged as a versatile technique for dose shaping, enabling peak-valley dose patterns in organs-at-risk (OAR) while maintaining a uniform dose…

医学物理 · 物理学 2025-02-25 Nimita Shinde , Weijie Zhang , Yuting Lin , Hao Gao

The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach for computing quantum thermal averages by approximating the…

数值分析 · 数学 2024-06-25 Xuda Ye , Zhennan Zhou

We describe improvements to the quasicentroid molecular dynamics (QCMD) path-integral method, which was developed recently for computing the infrared spectra of condensed-phase systems. The main development is an improved estimator for the…

化学物理 · 物理学 2022-11-08 George Trenins , Christopher Haggard , Stuart C. Althorpe

We present an end-to-end differentiable molecular simulation framework (DIMOS) for molecular dynamics and Monte Carlo simulations. DIMOS easily integrates machine-learning-based interatomic potentials and implements classical force fields…

The conventional second-order Path Integral Monte Carlo method is plagued with the sign problem in solving many-fermion systems. This is due to the large number of anti-symmetric free fermion propagators that are needed to extract the…

计算物理 · 物理学 2015-06-23 Siu A. Chin

We propose explicit symplectic integrators of molecular dynamics (MD) algorithms for rigid-body molecules in the canonical and isothermal-isobaric ensembles. We also present a symplectic algorithm in the constant normal pressure and lateral…

统计力学 · 物理学 2007-05-23 Hisashi Okumura , Satoru G. Itoh , Yuko Okamoto

The exchange antisymmetry between identical fermions gives rise to the well known fermion sign problem, in the form of large cancellation between positive and negative contribution to the partition function, making any simulation methods…

量子气体 · 物理学 2022-08-31 Xiong Yunuo , Xiong Hongwei

We solve numerically exactly a simple toy model to quantum general relativity or more properly to path integral on a curved space. We consider the thermal equilibrium of a quantum many body problem on the sphere, the surface of constant…

量子气体 · 物理学 2026-03-25 Riccardo Fantoni

The static density response of the uniform electron gas is of fundamental importance for numerous applications. Here, we employ the recently developed \textit{ab initio} permutation blocking path integral Monte Carlo (PB-PIMC) technique…

强关联电子 · 物理学 2017-08-23 Tobias Dornheim , Simon Groth , Jan Vorberger , Michael Bonitz

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

生物大分子 · 定量生物学 2025-11-11 Aaryesh Deshpande

Path integral Monte Carlo with Green's function analysis allows the sampling of quantum mechanical properties of molecules at finite temperature. While a high-precision computation of the energy of the Born-Oppenheimer surface from path…

量子物理 · 物理学 2007-05-23 Daejin Shin , Ming-Chak Ho , J. Shumway

Centroid molecular dynamics (CMD) incorporates nuclear quantum statistics into the calculation of vibrational spectra. However, when performed in Cartesian coordinates, CMD shows unphysical artifacts in certain vibrational bands, known as…

化学物理 · 物理学 2025-11-04 Jorge Castro , George Trenins , Venkat Kapil , Mariana Rossi

Dynamical reweighting of path measures is a powerful approach for accurately evaluating slow molecular processes using modified potential energy surfaces used in enhanced sampling methods. Integrating this reweighting framework into the…

化学物理 · 物理学 2026-01-12 Sascha Jähnigen , Bettina G. Keller

We frame the issue of pedestrian dynamics modeling in terms of path-integrals, a formalism originally introduced in quantum mechanics to account for the behavior of quantum particles, later extended to quantum field theories and to…

物理与社会 · 物理学 2020-11-04 Alessandro Corbetta , Federico Toschi

As computational chemistry methods evolve, dynamic effects have been increasingly recognized to govern chemical reaction pathways in both organic and inorganic systems. Here, we introduce a committor-based workflow that integrates a…

统计力学 · 物理学 2025-12-01 Radu A. Talmazan , Christophe Chipot

We develop an algorithm for bosonic path integral molecular dynamics (PIMD) simulations with periodic boundary conditions (PBC) that scales quadratically with the number of particles. Path integral methods are a powerful tool to simulate…

化学物理 · 物理学 2025-09-16 Jacob Higer , Yotam M. Y. Feldman , Barak Hirshberg

Bosonic exchange symmetry leads to fascinating quantum phenomena, from exciton condensation in quantum materials to the superfluidity of liquid Helium-4. Unfortunately, path integral molecular dynamics (PIMD) simulations of bosons are…

计算物理 · 物理学 2025-02-18 Yotam M. Y. Feldman , Barak Hirshberg