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Recent very large molecular dynamics simulations of homogeneous nucleation with $(1-8) \cdot 10^9$ Lennard-Jones atoms [Diemand et al. J. Chem. Phys. {\bf 139}, 074309 (2013)] allow us to accurately determine the formation free energy of…

原子与分子团簇 · 物理学 2015-06-19 Kyoko K. Tanaka , Jürg Diemand , Raymond Angélil , Hidekazu Tanaka

We present a method for computing free-energy differences using thermodynamic integration with a neural network potential that interpolates between two target Hamiltonians. The interpolation is defined at the sample distribution level, and…

统计力学 · 物理学 2025-03-26 Bálint Máté , François Fleuret , Tristan Bereau

The thesis consists of two projects. In the first project, we present a software that analyses RNA secondary structures and compares them. The goal of this software is to find the differences between two secondary structures (experimental…

生物大分子 · 定量生物学 2012-12-18 Asaf Farhi

A variational approach, based on a discrete representation of the chain, is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulomb potentials are approximated by a trial isotropic harmonic…

chem-ph · 物理学 2016-08-15 B. Jönsson , C. Peterson , B. Söderberg

We investigate the dynamics of a gas of non-interacting particle-like soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by…

斑图形成与孤子 · 物理学 2009-11-13 Andrea Fratalocchi , Claudio Conti , Giancarlo Ruocco , Stefano Trillo

We report a development of a new fast surface-based method for numerical calculations of solvation energy of biomolecules with a large number of charged groups. The procedure scales linearly with the system size both in time and memory…

定量方法 · 定量生物学 2011-07-25 P. O. Fedichev , E. G. Getmantsev , L. I. Men'shikov

Quantum Monte Carlo (QMC) methods such as Variational Monte Carlo, Diffusion Monte Carlo or Path Integral Monte Carlo are the most accurate and general methods for computing total electronic energies. We will review methods we have…

计算物理 · 物理学 2007-05-23 David Ceperley , Mark Dewing , Carlo Pierleoni

The free energy of the solid and fluid phases of the Girifalco C60 model are determined through extensive Monte Carlo simulations. In this model the molecules interact through a spherical pair potential, characterized by a narrow and…

软凝聚态物质 · 物理学 2009-11-07 D. Costa , G. Pellicane , M. C. Abramo , C. Caccamo

We construct a tensor model for nematic phases of bent-core molecules from molecular theory. The form of free energy is determined by molecular symmetry, which includes the couplings and derivatives of a vector and two second-order tensors,…

软凝聚态物质 · 物理学 2018-08-24 Jie Xu , Fangfu Ye , Pingwen Zhang

Steered molecular dynamics (SMD) simulations for the calculation of free energies are well suited for high-throughput molecular simulations on a distributed infrastructure due to the simplicity of the setup and parallel granularity of the…

化学物理 · 物理学 2023-09-22 Toni Giorgino , Gianni De Fabritiis

Various methods achieving importance sampling in ensembles of nonequilibrium trajectories enable to estimate free energy differences and, by maximum-likelihood post-processing, to reconstruct free energy landscapes. Here, based on Bayes…

统计力学 · 物理学 2010-07-02 Manuel Athènes , Mihai-Cosmin Marinica

One-dimensional ideal diatomic gas is simulated through possible types of motion of a molecule. Energy of each type of its motion is calculated from theory and numerical method. Calculation of kinetic energy of an atom in…

化学物理 · 物理学 2014-02-11 Siti Nurul Khotimah , Sparisoma Viridi , Widayani , Abdul Waris

A novel thermodynamic integration (TI) scheme is presented to compute the crystal-liquid interfacial free energy ($\gamma_{\rm cl}$) from molecular dynamics simulation. The scheme is applied to a Lennard-Jones system. By using extremely…

软凝聚态物质 · 物理学 2015-06-19 Ronald Benjamin , Jürgen Horbach

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

软凝聚态物质 · 物理学 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai

Density matrix quantum Monte Carlo (DMQMC) is used to sample exact-on-average $N$-body density matrices for uniform electron gas systems of up to 10$^{124}$ matrix elements via a stochastic solution of the Bloch equation. The results of…

Free-energy differences between pairs of end-states can be estimated based on molecular dynamics (MD) simulations using standard pathway-dependent methods such as thermodynamic integration (TI), free-energy perturbation, or Bennett's…

Using molecular simulation, we analyze the capillary condensation and evaporation processes for Argon confined in a cylindrical nanopore. For this purpose, we define the entropy of the adsorbed fluid as a reaction coordinate and determine…

软凝聚态物质 · 物理学 2021-08-25 Caroline Desgranges , Jerome Delhommelle

In this paper, we review the physical concepts of the nonequilibrium techniques for the calculation of free energies applied to magnetic systems using Monte Carlo simulations of different nonequilibrium processes. The methodology allows the…

统计力学 · 物理学 2019-05-01 Samuel Cajahuaringa , Alex Antonelli

The first part of this paper develops a theory for the free energy of lyotropic polymer nematic liquid crystals. We use a continuum model with macroscopic elastic moduli for a polymer nematic phase. By evaluating the partition function,…

软凝聚态物质 · 物理学 2009-10-31 H. H. Strey , V. A. Parsegian , R. Podgornik

Pre-calculated libraries of molecular fragment configurations have previously been used as a basis for both equilibrium sampling (via "library-based Monte Carlo") and for obtaining absolute free energies using a polymer-growth formalism.…

定量方法 · 定量生物学 2018-12-26 Steven Lettieri , Artem B. Mamonov , Daniel M. Zuckerman