355 citations · 2.6k across the 109 of their papers we have counts for
16 papers · 1 filter
Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation
Eirik G. Flekkøy, Alex Hansen, Beatrice Baldelli
By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exac…
The Three Extreme Value Distributions: An Introductory Review
Alex Hansen
The statistical distribution of the largest value drawn from a sample of a given size has only three possible shapes: it is either a Weibull, a Fréchet or a Gumbel extreme value di…
Anomalous Diffusion in Systems with Concentration-Dependent Diffusivity
Alex Hansen, Eirik G. Flekkøy
We show analytically that there is anomalous diffusion when the diffusion constant depends on the concentration as a power law with a positive exponent or a negative exponent with…
Variation of elastic energy shows reliable signal of upcoming catastrophic failure
Srutarshi Pradhan, Jonas T. Kjellstadli, Alex Hansen
We consider the Equal-Load-Sharing Fiber Bundle Model as a model for composite materials under stress and derive elastic energy and damage energy as a function of strain. With grad…
Mesoscopic Description of the Equal Load Sharing Fiber Bundle Model
Martin Hendrick, Srutarshi Pradhan, Alex Hansen
One aim of the equal load sharing fiber bundle model is to describe the critical behavior of failure events. One way of accomplishing this, is through a discrete recursive dynamics…
Failure Processes in Elastic Fiber Bundles
Srutarshi Pradhan, Alex Hansen, Bikas K. Chakrabarti
The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers chan…
The accuracy of roughness exponent measurement methods
Jan Øystein Haavig Bakke, Alex Hansen
We test methods for measuring and characterizing rough profiles with emphasis on measurements of the self-affine roughness exponent, and describes a simple test to separate between…
Fracture Roughness and Correlation Length in the Central Force Model
Jan Øystein Haavig Bakke, Thomas Ramstad, Alex Hansen
We measure the roughness exponent and the correlation length exponent of a stress-weighted percolation process in the central force model in 2D. The roughness exponent is found to…
Superdiffusive Conduction: AC Conductivity with Correlated Noise
Fernando A. Oliveira, Rafael Morgado, Alex Hansen +1
We present evidence of the existence of a superdiffusive regime in systems with correlated disorder for which localization is suppressed. An expression for anomalous electrical con…
Failure properties of loaded fiber bundles having a lower cutoff in fiber threshold distribution
Srutarshi Pradhan, Alex Hansen
Presence of lower cutoff in fiber threshold distribution may affect the failure properties of a bundle of fibers subjected to external load. We investigate this possibility both in…
Crossover behavior in a mixed mode fiber bundle model
Srutarshi Pradhan, Bikas K. Chakrabarti, Alex Hansen
We introduce a mixed-mode load sharing scheme in fiber bundle model. This model reduces exactly to equal load sharing (ELS) and local load sharing (LLS) models at the two extreme c…
Mean Field Theory of Localization in the Fuse Model
Renaud Toussaint, Alex Hansen
We propose a mean field theory for the localization of damage in a quasistatic fuse model on a cylinder. Depending on the quenched disorder distribution of the fuse thresholds, we…
Phase Diagram of Optimal Paths
Alex Hansen, Janos Kertesz
We show that choosing appropriate distributions of the randomness, the search for optimal paths links diverse problems of disordered media like directed percolation, invasion perco…
Reply to Comment on "Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage Zone"
Jean Schmittbuhl, Alex Hansen, G. George Batrouni
This is the reply to a Comment by Alava and Zapperi (cond-mat/0401568) on Schmittbuhl, Hansen and Batrouni, PRL, 90, 045505 (2003).
Correlation Length Exponent in the Three-Dimensional Fuse Network
Thomas Ramstad, Jan O. H. Bakke, Johannes Bjelland +2
We present numerical measurements of the critical correlation length exponent nu in the three-dimensional fuse model. Using sufficiently broad threshold distributions to ensure tha…
Burst avalanches in solvable models of fibrous materials
M. Kloster, A. Hansen, P. C. Hemmer
We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches…