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

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

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

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

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

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

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

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

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

We evaluate the virial coefficients Bk for $$k\leq 10$$ for hard spheres in dimensions $$D=2,\cdots,8.$$ Virial coefficients with k even are found to be...

virial expansion | Physical Chemistry | Mathematical and Computational Physics | Hard spheres | Quantum Physics | Physics | Statistical Physics | Virial expansion | MOLECULAR-DYNAMICS | RIGID SPHERES | SERIES ANALYSIS | STATISTICAL MECHANICS | PHYSICS, MATHEMATICAL | hard spheres | PERCUS-YEVICK EQUATION | MELTING TRANSITION | EQUATION-OF-STATE | CLOSE-PACKING | PHASE-TRANSITION | COMPUTER-SIMULATIONS | Physics - Statistical Mechanics

virial expansion | Physical Chemistry | Mathematical and Computational Physics | Hard spheres | Quantum Physics | Physics | Statistical Physics | Virial expansion | MOLECULAR-DYNAMICS | RIGID SPHERES | SERIES ANALYSIS | STATISTICAL MECHANICS | PHYSICS, MATHEMATICAL | hard spheres | PERCUS-YEVICK EQUATION | MELTING TRANSITION | EQUATION-OF-STATE | CLOSE-PACKING | PHASE-TRANSITION | COMPUTER-SIMULATIONS | Physics - Statistical Mechanics

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

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

Biology Letters, ISSN 1744-9561, 2014, Volume 10, Issue 5, pp. 20140198 - 20140198

Forecasts of range dynamics now incorporate many of the mechanisms and interactions that drive species distributions. However, connectivity continues to be...

Species distribution | Metapopulation | Dispersal | Population viability analysis | Global change | Individual-based model | species distribution | dispersal | CLIMATE-CHANGE | PIG PREDATION | population viability analysis | DENSITY | EVOLUTIONARY BIOLOGY | INDIGENOUS HARVEST | CONSERVATION | global change | BIOLOGY | metapopulation | ECOLOGY | individual-based model | Behavior, Animal | Models, Theoretical | Animals | Risk Assessment | Swine | Turtles | Extinction, Biological | Endangered Species | Wetlands | 1001 | Global Change Biology

Species distribution | Metapopulation | Dispersal | Population viability analysis | Global change | Individual-based model | species distribution | dispersal | CLIMATE-CHANGE | PIG PREDATION | population viability analysis | DENSITY | EVOLUTIONARY BIOLOGY | INDIGENOUS HARVEST | CONSERVATION | global change | BIOLOGY | metapopulation | ECOLOGY | individual-based model | Behavior, Animal | Models, Theoretical | Animals | Risk Assessment | Swine | Turtles | Extinction, Biological | Endangered Species | Wetlands | 1001 | Global Change Biology

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

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

Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the...

Taverne | Statistical and Nonlinear Physics | critical exponents and amplitudes | Statistics and Probability | series expansions | loop models and polymers | exact results | Statistics, Probability and Uncertainty | EXCLUDED-VOLUME PROBLEM | BEHAVIOR | PHYSICS, MATHEMATICAL | CENTERED-CUBIC LATTICE | CRITICAL EXPONENTS | DIMENSIONS | MECHANICS | ISING MODEL | HIGH-TEMPERATURE SERIES

Taverne | Statistical and Nonlinear Physics | critical exponents and amplitudes | Statistics and Probability | series expansions | loop models and polymers | exact results | Statistics, Probability and Uncertainty | EXCLUDED-VOLUME PROBLEM | BEHAVIOR | PHYSICS, MATHEMATICAL | CENTERED-CUBIC LATTICE | CRITICAL EXPONENTS | DIMENSIONS | MECHANICS | ISING MODEL | HIGH-TEMPERATURE SERIES

Journal Article

18.
Full Text
The equation of state of hard hyperspheres in nine dimensions for lowto moderate densities

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

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

DIMENSIONS | DILUTE POLYMER-SOLUTIONS | PHYSICS, FLUIDS & PLASMAS | ALGORITHM | CHAINS | SIMULATION | PHYSICS, MATHEMATICAL

Journal Article

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