|Reference : Static and dynamic epidemics on looped chains and looped trees|
|Scientific journals : Article|
|Physical, chemical, mathematical & earth Sciences : Physics|
|Static and dynamic epidemics on looped chains and looped trees|
|Vandewalle, Nicolas [Université de Liège - ULg > Département de physique > Physique statistique >]|
|Ausloos, Marcel [Université de Liège - ULg > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S. >]|
|Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|American Physical Society|
|3499-3507 Part A|
|Yes (verified by ORBi)|
|[en] The dynamic epidemic model [N. Vandewalle and M. Ausloos, J. Phys. A 29, 309 (1996)] considers the growth of a cluster in a medium containing a fraction x of mobile "particles" that are pushed by a propagation front. This model is exactly solved here on various chains and trees that contain loops following an "evolution matrix" method. The exact value for the percolation threshold x(c) and the critical exponents are calculated for static and mobile particles, respectively. Surprisingly, the mobile character of the particles affects the values of the critical exponents on chains but not on trees. Thus there is a nonuniversal behavior for dynamic epidemics even on d=1 lattices.|
|Researchers ; Professionals ; Students|
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