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Title: A new paradigm for petascale Monte Carlo simulation: Replica exchange Wang Landau sampling

Conference ·
 [1];  [2];  [3];  [4]
  1. ORNL
  2. Los Alamos National Laboratory (LANL)
  3. Swiss Federal Research Institute, Switzerland
  4. University of Georgia, Athens, GA

We introduce a generic, parallel Wang Landau method that is naturally suited to implementation on massively parallel, petaflop supercomputers. The approach introduces a replica-exchange framework in which densities of states for overlapping sub-windows in energy space are determined iteratively by traditional Wang Landau sampling. The advantages and general applicability of the method are demonstrated for several distinct systems that possess discrete or continuous degrees of freedom, including those with complex free energy landscapes and topological constraints.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
DE-AC05-00OR22725
OSTI ID:
1133554
Resource Relation:
Journal Volume: 510; Conference: XXV IUPAP Conference on Computational Physics 2013, Moscow, Russian Fed., 20130820, 20130824
Country of Publication:
United States
Language:
English

References (31)

Generic, Hierarchical Framework for Massively Parallel Wang-Landau Sampling journal May 2013
Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States journal March 2001
Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram journal October 2001
A new approach to Monte Carlo simulations in statistical physics: Wang-Landau sampling journal October 2004
Monte Carlo simulation of proteins through a random walk in energy space journal April 2002
Dynamics of the Wang–Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass journal July 2004
Phase transitions of a single polymer chain: A Wang–Landau simulation study journal September 2009
Density of States in Gauge Theories journal September 2012
Understanding and improving the Wang-Landau algorithm journal August 2005
Wang-Landau Algorithm for Continuous Models and Joint Density of States journal March 2006
Fast algorithm to calculate density of states journal April 2007
Combination of improved multibondic method and the Wang-Landau method journal May 2002
Overcoming the slowing down of flat-histogram Monte Carlo simulations: Cluster updates and optimized broad-histogram ensembles journal October 2005
Versatile Approach to Access the Low Temperature Thermodynamics of Lattice Polymers and Proteins journal April 2009
Convergence and refinement of the Wang–Landau algorithm journal July 2006
A scalable parallel Monte Carlo method for free energy simulations of molecular systems journal January 2004
A parallel implementation of the Wang–Landau algorithm journal September 2008
Phase transition of a single protein-like copolymer chain journal January 2013
Massively parallel Wang–Landau sampling on multiple GPUs journal August 2012
Simulated Tempering: A New Monte Carlo Scheme journal July 1992
Exchange Monte Carlo Method and Application to Spin Glass Simulations journal June 1996
Evaporation-condensation transition of the two-dimensional Potts model in the microcanonical ensemble journal December 2011
Scaling properties of a parallel implementation of the multicanonical algorithm journal April 2013
Generic folding and transition hierarchies for surface adsorption of hydrophobic-polar lattice model proteins journal January 2013
Examining the phase transition behavior of amphiphilic lipids in solution using statistical temperature molecular dynamics and replica-exchange Wang-Landau methods journal August 2013
Computer simulations of bilayer membranes: Self-assembly and interfacial tension journal May 1998
Molecular dynamics simulation of amphiphilic molecules in solution: Micelle formation and dynamic coexistence journal April 2009
Theory for the folding and stability of globular proteins journal March 1985
Monte Carlo simulations of the HP model (the “Ising model” of protein folding) journal September 2011
Forces of tertiary structural organization in globular proteins. journal January 1995
Freezing and collapse of flexible polymers on regular lattices in three dimensions journal December 2007

Cited By (1)

Correlation function behavior in the topological Kosterlitz–Thouless transition using the Replica-Exchange Wang–Landau technique journal December 2019

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