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@ARTICLE{Grassberger:912304,
author = {Grassberger, Peter},
title = {{R}evisiting a low-dimensional model with short range
interactions and mean field critical behavior},
journal = {epl},
volume = {136},
issn = {0295-5075},
address = {Les Ulis},
publisher = {EDP Sciences},
reportid = {FZJ-2022-05501},
pages = {26002},
year = {2022},
abstract = {In all known local low-dimensional models, scaling at
critical points deviates from mean-field behavior —with
one possible exception. This exceptional model with
"ordinary" behavior is an inherently non-equilibrium model
studied some time ago by H.-M. Bröker and myself. In
simulations, its 2-dimensional version suggested that two
critical exponents were mean-field, while a third one showed
very small deviations. Moreover, the numerics agreed almost
perfectly with an explicit mean-field model. In the present
paper we present simulations with much higher statistics,
both for 2d and 3d. In both cases we find that the
deviations of all critical exponents from their mean-field
values are non-leading corrections, and that the scaling is
precisely of mean-field type. As in the original paper, we
propose that the mechanism for this is "confusion", a strong
randomization of the phases of feedbacks that can occur in
non-equilibrium systems.},
cin = {JSC},
ddc = {530},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000761416700001},
doi = {10.1209/0295-5075/ac440d},
url = {https://juser.fz-juelich.de/record/912304},
}