Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Aleksander L Owczarek"'
Autor:
C. J. Bradly, Aleksander L Owczarek
Publikováno v:
Journal of Statistical Physics. 182
We investigate semi-stiff interacting self-avoiding walks on the square lattice with random impurities. The walks are simulated using the flatPERM algorithm and the inhomogeneity is realised as a random fraction of the lattice that is unavailable to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef4c5e5c17ee5dbd55addd19811535f0
https://doi.org/10.1007/s10955-021-02701-9
https://doi.org/10.1007/s10955-021-02701-9
Publikováno v:
Transcendence in Algebra, Combinatorics, Geometry and Number Theory ISBN: 9783030843038
Lattice paths in the quarter plane have led to a large and varied set of results in recent years. One major project has been the classification of step sets according to the properties of the corresponding generating functions, and this has involved
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dcf5d3c1ed6f5fb9e12587ac6806ad4e
https://doi.org/10.1007/978-3-030-84304-5_7
https://doi.org/10.1007/978-3-030-84304-5_7
We provide the exact solution of several variants of simple models of the zipping transition of two bound polymers, such as occurs in DNA/RNA, in two and three dimensions using pairs of directed lattice paths. In three dimensions the solutions are wr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf0f45d96f664cc924c8f728a621d363
Publikováno v:
Physical Review E. 100
Using extensive Monte Carlo simulations, we investigate the surface adsorption of self-avoiding trails on the triangular lattice with two- and three-body on-site monomer-monomer interactions. In the parameter space of two-body, three-body, and surfac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e09e4b0a7d3f6327fbb7f93fdc8a0957
https://doi.org/10.1103/physreve.100.062504
https://doi.org/10.1103/physreve.100.062504
We consider the phase diagram of self-avoiding walks (SAW) on the simple cubic lattice subject to surface and bulk interactions, modeling an adsorbing surface and variable solvent quality for a polymer in dilute solution, respectively. We simulate SA
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6dca75df0e535322e90ae0d1ff79c24a
http://arxiv.org/abs/1903.03235
http://arxiv.org/abs/1903.03235
We investigate the surface adsorption transition of interacting self-avoiding square lattice trails onto a straight boundary line. The character of this adsorption transition depends on the strength of the bulk interaction, which induces a collapse t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28af0d22832ba06e532ec6f6ee2fab03
Publikováno v:
Physical Review E. 98
We investigate neighbor-avoiding walks on the simple cubic lattice in the presence of an adsorbing surface. This class of lattice paths has been less studied using Monte Carlo simulations. Our investigation follows on from our previous results using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d63df8050e80d6b9d3b3cdd1d82018d
https://doi.org/10.1103/physreve.98.062141
https://doi.org/10.1103/physreve.98.062141
Recently, it has been proposed that the adsorption transition for a single polymer in dilute solution, modeled by lattice walks in three dimensions, is not universal with respect to intermonomer interactions. Moreover, it has been conjectured that ke
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8f0cd6b0d2648829f04f946eca215bf
http://arxiv.org/abs/1712.06256
http://arxiv.org/abs/1712.06256
In two dimensions polymer collapse has been shown to be complex with multiple low temperature states and multi-critical points. Recently, strong numerical evidence has been provided for a long-standing prediction of universal scaling of winding angle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7624323acf99e76d500e231e701ba18
http://arxiv.org/abs/1711.10379
http://arxiv.org/abs/1711.10379
Autor:
Eduardo Dagrosa, Aleksander L Owczarek
Publikováno v:
Journal of Statistical Physics. 155:392-417
For a standard or canonical ribbon from differential geometry the topological White’s theorem connects the linking number, writhe and total twist of the ribbon. Here we provide an integral expression, analog to the total twist of a canonical ribbon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a914277c78dcc7f50cfecf52bb6a6cb3
https://doi.org/10.1007/s10955-014-0941-y
https://doi.org/10.1007/s10955-014-0941-y