%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 }