The diffusive epidemic process DEP is composed of A and B species that
independently diffuse on a lattice with diffusion rates D(A) and D(B)
and follow the probabilistic dynamical rule A + B -> 2B and B -> A. This
model belongs to the category of non-equilibrium systems with an
absorbing state and a phase transition between active and inactive
states. We investigate the critical behavior of the one-dimensional DEP
using an auto-adaptive algorithm to find critical points: the method of
automatic searching for critical points MASCP. We compare our results
with the literature and we find that the MASCP successfully finds the critical exponents 1/nu and 1/z nu in all the cases D(A) = D(B), D(A) <
D(B) and D(A) > D(B). The simulations show that the DEP has the same
critical exponents as are expected from field-theoretical arguments.
Moreover, we find that, contrary to a renormalization group prediction,
the system does not show a discontinuous phase transition in the regime
of D(A) > D(B).
%0 Journal Article
%1 WOS:000277180700002
%A Filho, A M
%A Corso, G
%A Lyra, M L
%A Fulco, U L
%C DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
%D 2010
%I IOP PUBLISHING LTD
%J JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
%K (theory); (theory)} absorbing amplitudes and diffusive driven exponents finite-size into phase scaling; states systems transitions {critical
%R 10.1088/1742-5468/2010/04/P04027
%T Critical properties of the diffusive epidemic process obtained via an
automatic search technique
%X The diffusive epidemic process DEP is composed of A and B species that
independently diffuse on a lattice with diffusion rates D(A) and D(B)
and follow the probabilistic dynamical rule A + B -> 2B and B -> A. This
model belongs to the category of non-equilibrium systems with an
absorbing state and a phase transition between active and inactive
states. We investigate the critical behavior of the one-dimensional DEP
using an auto-adaptive algorithm to find critical points: the method of
automatic searching for critical points MASCP. We compare our results
with the literature and we find that the MASCP successfully finds the critical exponents 1/nu and 1/z nu in all the cases D(A) = D(B), D(A) <
D(B) and D(A) > D(B). The simulations show that the DEP has the same
critical exponents as are expected from field-theoretical arguments.
Moreover, we find that, contrary to a renormalization group prediction,
the system does not show a discontinuous phase transition in the regime
of D(A) > D(B).
@article{WOS:000277180700002,
abstract = {The diffusive epidemic process DEP is composed of A and B species that
independently diffuse on a lattice with diffusion rates D(A) and D(B)
and follow the probabilistic dynamical rule A + B -> 2B and B -> A. This
model belongs to the category of non-equilibrium systems with an
absorbing state and a phase transition between active and inactive
states. We investigate the critical behavior of the one-dimensional DEP
using an auto-adaptive algorithm to find critical points: the method of
automatic searching for critical points MASCP. We compare our results
with the literature and we find that the MASCP successfully finds the critical exponents 1/nu and 1/z nu in all the cases D(A) = D(B), D(A) <
D(B) and D(A) > D(B). The simulations show that the DEP has the same
critical exponents as are expected from field-theoretical arguments.
Moreover, we find that, contrary to a renormalization group prediction,
the system does not show a discontinuous phase transition in the regime
of D(A) > D(B).},
added-at = {2022-05-23T20:00:14.000+0200},
address = {DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND},
author = {Filho, A M and Corso, G and Lyra, M L and Fulco, U L},
biburl = {https://www.bibsonomy.org/bibtex/255d2af8219fde111c70867f1ef0f3b82/ppgfis_ufc_br},
doi = {10.1088/1742-5468/2010/04/P04027},
interhash = {1ff19d8a2840c2c9dbf1e8a25c4e88e4},
intrahash = {55d2af8219fde111c70867f1ef0f3b82},
issn = {1742-5468},
journal = {JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT},
keywords = {(theory); (theory)} absorbing amplitudes and diffusive driven exponents finite-size into phase scaling; states systems transitions {critical},
publisher = {IOP PUBLISHING LTD},
pubstate = {published},
timestamp = {2022-05-23T20:00:14.000+0200},
title = {Critical properties of the diffusive epidemic process obtained via an
automatic search technique},
tppubtype = {article},
year = 2010
}