Reference : Static and dynamic epidemics on looped chains and looped trees
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/17979
Static and dynamic epidemics on looped chains and looped trees
English
Vandewalle, Nicolas mailto [Université de Liège - ULg > Département de physique > Physique statistique >]
Ausloos, Marcel mailto [Université de Liège - ULg > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S. >]
Oct-1996
Physical Review. E : Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
American Physical Society
54
4
3499-3507 Part A
Yes (verified by ORBi)
1063-651X
College Park
MD
[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.
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http://hdl.handle.net/2268/17979

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