Grenzen komparatorischer Analysen von Korruption in verschiedenen Wirtschaftssystemen

Extremal-point densities of interface fluctuations

“…In the present Section we focus on discrete, one dimensional models from the linear theory of kinetic roughening [14,18]. Let us consider a one dimensional substrate consisting of L lattice sites, with periodic boundary conditions.…”

“…where z is a positive real number (not necessarily integer). Other z values of experimental interest are z = 1, relaxation through plastic flow, [19,18]), and z = 3 terrace-diffusion mechanism [11][12][13]. For early times, such that t ≪ L z , the interface width w 2 L (t) increases with time as…”

“…where β = (z − 1)/2z [14,18]. In the t → ∞ limit, where t ≫ L z , the interface width saturates for a finite system, but diverges with L according to w 2 L (∞) ∼ L 2α where α = (z − 1)/2 is the roughness exponent [14,18].…”

“…where β = (z − 1)/2z [14,18]. In the t → ∞ limit, where t ≫ L z , the interface width saturates for a finite system, but diverges with L according to w 2 L (∞) ∼ L 2α where α = (z − 1)/2 is the roughness exponent [14,18]. For z = 4 (curvature driven interface) we saw that the slope fluctuation behaves as C φ L (0) = φ 2 i ∼ L. For higher z for the slope-slope correlation function one can deduce…”

“…One may refer to this form as "anomalous" scaling [18] for the slope difference correlation function in the following sense. For z < 5 the scaling form for G φ L (l) follows that of C φ L (0) [eq.…”