TY - JOUR

T1 - Random walks on complex networks with inhomogeneous impact

AU - Eisler, Zoltán

AU - Kertész, János

PY - 2005/5

Y1 - 2005/5

N2 - In many complex systems, for the activity fi of the constituents or nodes i a power-law relationship was discovered between the standard deviation σi and the average strength of the activity: σifiα; universal values α=12 or 1 were found, however, with exceptions. With the help of an impact variable we present a random walk model where the activity is the product of the number of visitors at a node and their impact. If the impact depends strongly on the node connectivity and the properties of the carrying network are broadly distributed (as in a scale-free network) we find both analytically and numerically nonuniversal α values. The exponent always crosses over to the universal value of 1 if the external drive dominates.

AB - In many complex systems, for the activity fi of the constituents or nodes i a power-law relationship was discovered between the standard deviation σi and the average strength of the activity: σifiα; universal values α=12 or 1 were found, however, with exceptions. With the help of an impact variable we present a random walk model where the activity is the product of the number of visitors at a node and their impact. If the impact depends strongly on the node connectivity and the properties of the carrying network are broadly distributed (as in a scale-free network) we find both analytically and numerically nonuniversal α values. The exponent always crosses over to the universal value of 1 if the external drive dominates.

UR - http://www.scopus.com/inward/record.url?scp=26944487910&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.71.057104

DO - 10.1103/PhysRevE.71.057104

M3 - Article

AN - SCOPUS:26944487910

SN - 1539-3755

VL - 71

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 5

M1 - 057104

ER -