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pro vyhledávání: '"Clisby, Nathan"'
We have made a systematic numerical study of the 16 Wilf classes of length-5 classical pattern-avoiding permutations from their generating function coefficients. We have extended the number of known coefficients in fourteen of the sixteen classes. Ca
Externí odkaz:
http://arxiv.org/abs/2109.13485
Autor:
Clisby, Nathan, Duenweg, Burkhard
Publikováno v:
Phys. Rev. E 94:052102 (2016)
The universal asymptotic amplitude ratio between the gyration radius and the hydrodynamic radius of self-avoiding walks is estimated by high-resolution Monte Carlo simulations. By studying chains of length of up to $N = 2^{25} \approx 34 \times 10^6$
Externí odkaz:
http://arxiv.org/abs/2001.03138
Publikováno v:
J. Chem. Phys. 151, 164102 (2019)
We have computed the two and three-particle contribution to the entropy of a Weeks-Chandler-Andersen fluid via molecular dynamics simulations. The three-particle correlation function and entropy were computed with a new method which simplified calcul
Externí odkaz:
http://arxiv.org/abs/2001.02224
Autor:
Clisby, Nathan, Ho, Dac Thanh Chuong
The pivot algorithm is the most efficient known method for sampling polymer configurations for self-avoiding walks and related models. Here we introduce two recent improvements to an efficient binary tree implementation of the pivot algorithm: an ext
Externí odkaz:
http://arxiv.org/abs/2001.02186
Autor:
Clisby, Nathan
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 value for the interaction parameter which results in an improved model for which the leading c
Externí odkaz:
http://arxiv.org/abs/1705.01249
Autor:
Clisby, Nathan
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 expected logarithmic corrections to scaling, and find convincing evidence in support the scaling f
Externí odkaz:
http://arxiv.org/abs/1703.10557
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 length-doubling method. Analysis of the enumeration results yields values for the exponents $\
Externí odkaz:
http://arxiv.org/abs/1703.09340
Autor:
Clisby, Nathan
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 calculating an observable that corresponds to the probability that pairs of self-avoiding wal
Externí odkaz:
http://arxiv.org/abs/1701.08415
Publikováno v:
J. Phys. A: Math. Theor. 49 015004 (2016)
We study terminally attached self-avoiding walks and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide strong numerical evidence supporting a scaling relation between self-avoiding walks, bridges, and te
Externí odkaz:
http://arxiv.org/abs/1504.02085
Autor:
Clisby, Nathan
Publikováno v:
J. Phys. A: Math. Theor. 46, 235001 (2013)
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 dimensions two and three, and use these enumerations to study the properties of this model. We fin
Externí odkaz:
http://arxiv.org/abs/1302.2796