%0 Journal Article %1 WOS:000226299200057 %A Araujo, AD %A Andrade, JS %A Herrmann, HJ %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2004 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 6, 2 %R 10.1103/PhysRevE.70.066150 %T Multiple invaded consolidating materials %V 70 %X We study a multiple invasion model to simulate corrosion or intrusion processes. Estimated values for the fractal dimension of the invaded region reveal that the critical exponents vary as a function of the generation number G, i.e., with the number of times the invasion process takes place. The averaged mass M of the invaded region decreases with a power law as a function of G, Msimilar toG(beta), where the exponent betaapproximate to0.6. We also find that the fractal dimension of the invaded cluster changes from d(1)=1.887+/-0.002 to d(s)=1.217+/-0.005. This result confirms that the multiple invasion process (for the case in which uninvaded regions are forbidden) follows a continuous transition from one universality class (nontrapping invasion percolation) to another (optimal path). In addition, we report extensive numerical simulations that indicate that the mass distribution of avalanches P(S,L) has a power-law behavior and we find that the exponent tau governing the power-law P(S,L)similar toS(-tau) changes continuously as a function of the parameter G. We propose a scaling law for the mass distribution of avalanches for different number of generations G.

@article{WOS:000226299200057, abstract = {We study a multiple invasion model to simulate corrosion or intrusion processes. Estimated values for the fractal dimension of the invaded region reveal that the critical exponents vary as a function of the generation number G, i.e., with the number of times the invasion process takes place. The averaged mass M of the invaded region decreases with a power law as a function of G, Msimilar toG(beta), where the exponent betaapproximate to0.6. We also find that the fractal dimension of the invaded cluster changes from d(1)=1.887+/-0.002 to d(s)=1.217+/-0.005. This result confirms that the multiple invasion process (for the case in which uninvaded regions are forbidden) follows a continuous transition from one universality class (nontrapping invasion percolation) to another (optimal path). In addition, we report extensive numerical simulations that indicate that the mass distribution of avalanches P(S,L) has a power-law behavior and we find that the exponent tau governing the power-law P(S,L)similar toS(-tau) changes continuously as a function of the parameter G. We propose a scaling law for the mass distribution of avalanches for different number of generations G.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Araujo, AD and Andrade, JS and Herrmann, HJ}, biburl = {https://www.bibsonomy.org/bibtex/28fd730e5e545f3f61443750bea80658e/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.70.066150}, interhash = {62d10c3ad3b74d7fad6c166959fe10e6}, intrahash = {8fd730e5e545f3f61443750bea80658e}, issn = {1539-3755}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = {6, 2}, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Multiple invaded consolidating materials}, tppubtype = {article}, volume = 70, year = 2004 }