Equation of State Calculations by Fast Computing Machines
1953/06/01 by N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth +2 · 495 citations
Engineering · Physics and Astronomy · Earth and Planetary Sciences · #Phase Equilibria and Thermodynamics #Advanced Thermodynamics and Statistical Mechanics #nanoparticles nucleation surface interactions
paper · doi:10.1063/1.1699114
openalex publication_date 1953/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Abstract
A general method, suitable for fast computing machines, for investigating such properties as equations of state for substances consisting of interacting individual molecules is described. The method consists of a modified Monte Carlo integration over configuration space. Results for the two-dimensional rigid-sphere system have been obtained on the Los Alamos MANIAC and are presented here. These results are compared to the free volume equation of state and to a four-term virial coefficient expansion.
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- Joint deprojection of Sunyaev-Zeldovich and X-ray images of galaxy clusters
- Optimizing replica exchange moves for molecular dynamics
- KEPLER-432: A RED GIANT INTERACTING WITH ONE OF ITS TWO LONG-PERIOD GIANT PLANETS
- Analysing and controlling the tax evasion dynamics via majority-vote model
- First-principles theory of ferroelectric phase transitions for perovskites: The case ofBaTiO3
- Simulation of weak polyelectrolytes: a comparison between the constant pH and the reaction ensemble method
- Reconstruction of pairwise interactions using energy-based models*
- A model study of cooperative binding of ionic surfactants to oppositely charged flexible polyions
- A 'Gibbs-Newton' Technique for Enhanced Inference of Multivariate Polya Parameters and Topic Models
- Strategies for improving the efficiency of quantum Monte Carlo calculations
- Nonparametric Bayesian grouping methods for spatial time-series data
- Polycyclic aromatic hydrocarbons in Seyfert and star-forming galaxies
- Accelerating uncertainty quantification of groundwater flow modelling using a deep neural network proxy
- Phase diagram of self-assembled rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations
- Simulations of the galaxy population constrained by observations from z = 3 to the present day: implications for galactic winds and the fate of their ejecta
- Fermions as global correction: The QCD case
- Extending multiple histogram reweighting to a continuous lattice spin system exhibiting a first-order phase transition
- Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods
- The kinematic features of motorcycles in congested urban networks
- Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
- Suppressing correlations in massively parallel simulations of lattice models
- A large‐scale spatio‐temporal binomial regression model for estimating seroprevalence trends
- Folding kinetics of proteinlike heteropolymers
- Simulated-tempering procedure for spin-glass simulations
- Variational Bayes Inference in Digital Receivers
- Computational Study of Molecular Mechanisms of Caffeine Actions
- The Gō model revisited: Native structure and the geometric coupling between local and long‐range contacts
- Folding of small proteins: a matter of geometry?
- Dynamics of the diffusive DM-DE interaction – Dynamical system approach
- Event-Chain Monte-Carlo Simulations of Dense Soft Matter Systems
- A generalized Bayesian approach to model calibration
- Folding dynamics of the helical structure observed in a minimal model
- Performance of Wang–Landau algorithm in continuous spin models and a case study: Modified XY-model
- Entropic sampling via Wang-Landau random walks in dominant energy subspaces
- exofit: orbital parameters of extrasolar planets from radial velocities
- Stoquasticity in circuit QED
- Quantum vacuum of strongly nonlinear lattices
- Thermal percolation for interacting monomers adsorbed on square lattices
- Convergence of Monte Carlo simulations to equilibrium
- Physical properties of the spin Hamiltonian on honeycomb lattice samples with Kekulé and vacuum polarization corrections
- Formalizing Neurath’s ship: Approximate algorithms for online causal learning.
- Critical behavior of the two-dimensional Coulomb glass at zero temperature
- Foreground effect on the J-factor estimation of classical dwarf spheroidal galaxies
- Decoding X-ray observations from centres of galaxy clusters using MCMC
- A quartet of black holes and a missing duo: probing the low end of the MBH–σ relation with the adaptive optics assisted integral-field spectroscopy
- Extending canonical Monte Carlo methods
- Extending canonical Monte Carlo methods: II
- Understanding critical behavior in the framework of the extended equilibrium fluctuation theorem
- Equilibrium fluctuation theorems compatible with anomalous response
- Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions
- On the efficient numerical solution of lattice systems with low-order couplings
- The 2008 May 29 earthquake doublet in SW Iceland
- Low-temperature statistical mechanics of the Quantizer problem: Fast quenching and equilibrium cooling of the three-dimensional Voronoi liquid
- Incorporating structured assumptions with probabilistic graphical models in fMRI data analysis
- Multilevel Monte Carlo algorithm for quantum mechanics on a lattice
- Off-diagonal correlations of the Calogero-Sutherland model
- Lattice QCD with suppressed high momentum modes of the Dirac operator
- The random geometry of equilibrium phases
- Exact quantum Monte Carlo process for the statistics of discrete systems
- Effects of boundary conditions on magnetization switching in kinetic Ising models of nanoscale ferromagnets
- A computational study of 13-atom Ne-Ar cluster heat capacities
- Monte Carlo method [wikipedia]
- Protein pKa calculations [wikipedia]