Dissipative Lévy random searches: universal behavior at low target density.
We investigate the problem of survival at the very low target-density limit and report on a second-order phase transition for one-dimensional random searches in which the energy cost of locomotion is a function of the distance traveled by the searcher. Surprisingly, from analytical calculations (also tested numerically) we find identical critical exponents for arbitrary energy cost functions. We conclude that there is a single universality class that describes this process.
Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife-PE, Brazil.
P J
PJ
Ribeiro-Neto
E P
EP
Raposo
H A
HA
Araújo
C L
CL
Faustino
M G E
MG
da Luz
G M
GM
Viswanathan
D000465:Algorithms; D001665:Binding Sites; D001703:Biophysics / Q000379:methods*; D019295:Computational Biology / Q000379:methods; D004247:DNA / Q000737:chemistry*; D004463:Ecology / Q000379:methods; D015233:Models, Statistical; D008962:Models, Theoretical; D011336:Probability; D011485:Protein Binding
D004247:DNA