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Scaling in fracture and refreezing of sea ice

Korsnes, R.; Souza, S.R.; Donangelo, R.; Hansen, A.; … - In: Physica A: Statistical Mechanics and its Applications 331 (2004) 1, pp. 291-296

Sea ice breaks up and regenerates rapidly during winter conditions in the Arctic. Analyzing satellite data from the Kara Sea, we find that the average ice floe size depends on weather conditions. Nevertheless, the frequency of floes of size A is a power law, N∼A−τ, where τ=1.6±0.2, for A...

Persistent link: https://www.econbiz.de/10011057221

Kinetics of node splitting in evolving complex networks

Colman, E.R.; Rodgers, G.J. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 24, pp. 6626-6631

We introduce a collection of complex networks generated by a combination of preferential attachment and a previously unexamined process of “splitting” nodes of degree k into k nodes of degree 1. Four networks are considered, each evolves at each time step by either preferential attachment,...

Persistent link: https://www.econbiz.de/10011057341

Percolation theory and fragmentation measures in social networks

Chen, Yiping; Paul, Gerald; Cohen, Reuven; Havlin, Shlomo; … - In: Physica A: Statistical Mechanics and its Applications 378 (2007) 1, pp. 11-19

We study the statistical properties of a recently proposed social networks measure of fragmentation F after removal of … fragmentation. For a given P∞, 1-F has a broad distribution and thus one can improve significantly the fragmentation of the network …. We also study and compare the fragmentation measure F and the percolation measure P∞ for a real national social network …

Persistent link: https://www.econbiz.de/10011058475

A Szilard model-based computational study of the evolution of agents-clusters

Paladi, Florentin; Eremeev, Vitalie - In: Physica A: Statistical Mechanics and its Applications 348 (2005) C, pp. 630-640

A theoretical model based on the cluster theory was developed and used to simulate the dynamics of complex systems, composed of a number of interacting agents-clusters, with different sizes M. The case of systems formed by a constant total number of agents in metastable (partial) equilibrium was...

Persistent link: https://www.econbiz.de/10011059051

A herding model with preferential attachment and fragmentation

Rodgers, G.J.; Zheng, Dafang - In: Physica A: Statistical Mechanics and its Applications 308 (2002) 1, pp. 375-380

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either: (i) with probability p an incoming agent joins an existing group, or (ii) with probability 1−p...

Persistent link: https://www.econbiz.de/10011061179

Network formation by contact arrested propagation

Hafver, Andreas; Jettestuen, Espen; Baetens, Jan M.; … - In: Physica A: Statistical Mechanics and its Applications 413 (2014) C, pp. 240-255

We propose here a network growth model which we term Contact Arrested Propagation (CAP). One representation of the CAP model comprises a set of two-dimensional line segments on a lattice, propagating independently at constant speed in both directions until they collide. The generic form of the...

Persistent link: https://www.econbiz.de/10011063732

Fragment distributions for brittle rods with patterned breaking probabilities

Higley, Michael; Belmonte, Andrew - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 28, pp. 6897-6912

We present a modeling framework for 1D fragmentation in brittle rods, in which the distribution of fragments is written ….R. Gladden, N.Z. Handzy, A. Belmonte, E. Villermaux, Dynamic buckling and fragmentation in brittle rods, Phys. Rev. Lett. 94 …

Persistent link: https://www.econbiz.de/10010872280

Kostoglou, Margaritis - In: Physica A: Statistical Mechanics and its Applications 320 (2003) C, pp. 84-96

New large time asymptotic (self-similar) solutions of the fragmentation (breakage) equation are derived in closed form … for the case of certain homogeneous discrete fragmentation kernel. A fragmentation kernel is called homogeneous and … fragmentation kernel is not a continuous function. The present solutions are the first explicit self-similarity distributions for …

Persistent link: https://www.econbiz.de/10010872656

Impact fragmentation of polyurethane and polypropylene cylinder

Kishimura, Hiroaki; Noguchi, Daisuke; Preechasupanya, … - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 22, pp. 5574-5580

The impact fragmentation of a bulk polyurethane elastomer (PU) and polypropylene (PP) cylinder have been investigated …

Persistent link: https://www.econbiz.de/10010872969

Scaling relations for diversity of languages

Gomes, M.A.F; Vasconcelos, G.L; Tsang, I.J; Tsang, I.R - In: Physica A: Statistical Mechanics and its Applications 271 (1999) 3, pp. 489-495

simulations of fragmentation dynamics where similar scalings appear. The language size distribution is also studied and shown to …

Persistent link: https://www.econbiz.de/10010873370