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Physical Review Letters, ISSN 0031-9007, 02/2010, Volume 104, Issue 5
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 02/2010, Volume 104, Issue 5, p. 055702
We introduce a fast implementation of the pivot algorithm for self-avoiding walks, which we use to obtain large samples of walks on the cubic lattice of up to... 
PHYSICS, MULTIDISCIPLINARY | DIMENSIONS
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 7/2018, Volume 172, Issue 2, pp. 477 - 492
We study self-avoiding walks on the four-dimensional hypercubic lattice via Monte Carlo simulations of walks with up to one billion steps. We study the... 
Monte Carlo | Physical Chemistry | Pivot algorithm | Theoretical, Mathematical and Computational Physics | Polymer | Quantum Physics | Physics | Self-avoiding walk | Statistical Physics and Dynamical Systems | 4 DIMENSIONS | LENGTH | PHYSICS, MATHEMATICAL | Monte Carlo method | Models | Algorithms | Analysis
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2013, Volume 46, Issue 24, pp. 245001 - 11
We calculate the connective constant for self-avoiding walks on the simple cubic lattice to unprecedented accuracy, using a novel application of the pivot... 
ENUMERATION | MONTE-CARLO METHOD | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Accuracy | Pivots | Algorithms | Cubic lattice | Mathematical analysis | Constants | Estimates
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 7/2010, Volume 140, Issue 2, pp. 349 - 392
The pivot algorithm for self-avoiding walks has been implemented in a manner which is dramatically faster than previous implementations, enabling extremely... 
Monte Carlo | Physical Chemistry | Pivot algorithm | Theoretical, Mathematical and Computational Physics | Polymer | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | Self-avoiding walk | MONTE-CARLO | DIMENSIONS | VOLUME | POLYMER-CHAINS | PHYSICS, MATHEMATICAL | CRITICAL EXPONENTS | RENORMALIZATION | Models | Algorithms | Polymers | Analysis
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 11/2017, Volume 921, Issue 1
We study the Domb-Joyce model of weakly self-avoiding walks on the simple cubic lattice via Monte Carlo simulations. We determine to excellent accuracy the... 
Conference Proceeding
Earth System Dynamics Discussions, ISSN 2190-4995, 08/2019, pp. 1 - 21
Abstract. The influence of climatic change on the carbon cycle is important as part of a CO 2 -climate feedback loop. However the magnitude of the coupling... 
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2013, Volume 46, Issue 23, pp. 235001 - 32
We introduce a self-avoiding walk model for which end-effects are completely eliminated. We enumerate the number of these walks for various lattices in... 
STATISTICAL-MECHANICS | LACE EXPANSION | PHYSICS, MULTIDISCIPLINARY | NEAREST-NEIGHBOR STEPS | PIVOT ALGORITHM | SQUARE LATTICE | SERIES ANALYSIS | CRITICAL-BEHAVIOR | POLYMER CHAIN | PHYSICS, MATHEMATICAL | EXCLUDED-VOLUME | 2 DIMENSIONS | Enumeration | Amplitudes | Exponents | Mathematical analysis | Lattices | Constants | Mathematical models | Polymers | Power law
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 10/2019, Volume 151, Issue 16, p. 164102
We have computed the two- and three-particle contribution to the entropy of a Weeks-Chandler-Andersen fluid via molecular dynamics simulations. The... 
CHEMISTRY, PHYSICAL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Computational fluid dynamics | Computer simulation | Molecular dynamics | Variations | Entropy | Melting points | Freezing
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 26, p. 264003
We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for the purpose of efficiently... 
pivot algorithm | self-avoiding walk | Monte Carlo | critical exponent
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 09/2016, Volume 750, Issue 1
Conference Proceeding
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2012, Volume 45, Issue 11, pp. 115202 - 15
We present a new and more efficient implementation of transfer-matrix methods for exact enumerations of lattice objects. The new method is illustrated by an... 
2-DIMENSIONAL VESICLES | WALKS | MODELS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | RINGS | PHYSICS, MATHEMATICAL | Running | Algorithms | Enumeration | Mathematical analysis | Lattices | Polygons
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 1/2006, Volume 122, Issue 1, pp. 15 - 57
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 12/2015, Volume 49, Issue 1, p. 15004
We study terminally attached self-avoiding walks (SAWs) and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide... 
pivot algorithm | critical exponents | self-avoiding walk | Monte Carlo | universal amplitude ratio | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Bridges (structures) | Monte Carlo methods | Cubic lattice | Amplitudes | Mathematical models | Saws | Three dimensional
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 09/2007, Volume 40, Issue 36, pp. 10973 - 11017
We introduce a new method for the enumeration of self-avoiding walks based on the lace expansion. We also introduce an algorithmic improvement, called the... 
HYPERCUBIC LATTICES | 4 DIMENSIONS | TO-END DISTANCE | PHYSICS, MULTIDISCIPLINARY | CONNECTIVE CONSTANT | SQUARE LATTICE | N-VECTOR MODEL | ISING-MODEL | CRITICAL-BEHAVIOR | PHYSICS, MATHEMATICAL | HIGH-TEMPERATURE SERIES | CRITICAL EXPONENTS
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 08/2017, Volume 2017, Issue 8, p. 83208
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 01/2008, Volume 128, Issue 3, pp. 034506 - 034506-4
The equation of state of hard hyperspheres in nine dimensions is calculated both from the values of the first ten virial coefficients and from a Monte Carlo... 
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 2008, Volume 128, Issue 3, p. 034506
The equation of state of hard hyperspheres in nine dimensions is calculated both from the values of the first ten virial coefficients and from a Monte Carlo... 
CHEMISTRY, PHYSICAL | ORDER | VIRIAL-COEFFICIENTS | SPHERE FLUID | PHASE-TRANSITION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
Journal Article
Physical Review E, ISSN 2470-0045, 2016, Volume 94, Issue 5
The universal asymptotic amplitude ratio between the gyration radius and the hydrodynamic radius of self-avoiding walks is estimated by high-resolution Monte... 
DIMENSIONS | DILUTE POLYMER-SOLUTIONS | PHYSICS, FLUIDS & PLASMAS | ALGORITHM | CHAINS | SIMULATION | PHYSICS, MATHEMATICAL
Journal Article
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