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Autor:
S. Lubeck
Publikováno v:
Physical Review E. 58:2957-2964
We study numerically the dynamical properties of the BTW model on a square lattice for various dimensions. The aim of this investigation is to determine the value of the upper critical dimension where the avalanche distributions are characterized by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d083dd43442856ce8711a6f83d0e0ff2
https://doi.org/10.1103/physreve.58.2957
https://doi.org/10.1103/physreve.58.2957
Autor:
S. Lubeck
Publikováno v:
IEEE Computer Applications in Power. 10:14-19
Despite the growing popularity of the World-Wide Web, few traditional publishers have been willing to venture putting their intellectual property online. In part, this has been a result of a misunderstanding of this new publishing medium, and its imp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bb663148de2b52f3790114a1bce60b9
https://doi.org/10.1109/67.625368
https://doi.org/10.1109/67.625368
Autor:
Klaus-Dieter Usadel, S. Lubeck
Publikováno v:
Fractals. :1030-1036
We have studied one-dimensional cellular automata with updating rules depending stochastically on the difference of the heights of neighboring cells. The probability for toppling depends on a parameter λ which goes to one with increasing slope, i.e.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1ec69ef803064ac59db22b0afe84e4b
https://doi.org/10.1142/s0218348x9300112x
https://doi.org/10.1142/s0218348x9300112x
Autor:
S. Lubeck
We consider a modification of the contact process incorporating higher-order reaction terms. The original contact process exhibits a non-equilibrium phase transition belonging to the universality class of directed percolation. The incorporated higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa987d6af45d201d5c90fbf680e2b787
http://arxiv.org/abs/cond-mat/0608339
http://arxiv.org/abs/cond-mat/0608339
Autor:
S. Lubeck
We consider numerically the crossover scaling behavior from the directed percolation universality class to the compact directed percolation universality class within the one-dimensional Domany-Kinzel cellular automaton. Our results are compared to th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::670846a589e807ca969c33a2c97b9cbb
Autor:
S. Lubeck, R. D. Willmann
In this work we consider the steady state scaling behavior of directed percolation around the upper critical dimension. In particular we determine numerically the order parameter, its fluctuations as well as the susceptibility as a function of the co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c943f91816f1ea85cea0506e148eff7
Autor:
S. Lubeck, R. D. Willmann
We consider the scaling behavior of directed percolation and of the pair contact process with a conjugated field. In particular we determine numerically the equation of state and show that both models are characterized by the same universal scaling f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e4c14fe0d75f027841d8d10c1fb9b2f