• Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation 

      Flekkøy, Eirik Grude; Hansen, Alex; Baldelli, Beatrice (Peer reviewed; Journal article, 2021)
      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 finding the exact solution of the corresponding non-linear ...
    • Implications of Realistic Fracture Criteria on Crack Morphology 

      Skjetne, Bjørn; Hansen, Alex (Journal article; Peer reviewed, 2019)
      We study the effects realistic fracture criteria have on crack morphology obtained in numerical simulations with a stochastic discrete element method. Results are obtained with two criteria which are consistent with the ...
    • Label-free non-linear multimodal optical microscopy—basics, development, and applications 

      Mazumder, Nirmal; Balla, Naveen K.; Zhuo, Guan-Yu; Kistenev, Yury V.; Kumar, Rajesh; Kao, Fu-Jen; Brasselet, Sophie; Nikolaev, Viktor V.; Krivova, Natalya A. (Journal article; Peer reviewed, 2019)
      Non-linear optical (NLO) microscopy has proven to be a powerful tool especially for tissue imaging with sub-cellular resolution, high penetration depth, endogenous contrast specificity, pinhole-less optical sectioning ...
    • Local dynamics of a randomly pinned crack front: a numerical study 

      Gjerden, Knut Skogstrand; Stormo, Arne; Hansen, Alex (Journal article; Peer reviewed, 2014)
      We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition ...
    • Mechanisms of oxygen vacancy aggregation in SiO 2 and HfO 2 

      Gao, David Zhe; Strand, Jack; Munde, Manveer S; Shluger, Alexander L (Journal article; Peer reviewed, 2019)
      Dielectric oxide films in electronic devices undergo significant structural changes during device operation under bias. These changes are usually attributed to aggregation of oxygen vacancies resulting in formation of ...
    • Network topology of the desert rose 

      Hope, Sigmund Mongstad; Kundu, Sumanta; Roy, Chandreyee; Manna, S. S.; Hansen, Alex (Journal article; Peer reviewed, 2015-09-08)
      Desert roses are gypsum crystals that consist of intersecting disks. We determine their geometrical structure using computer assisted tomography. By mapping the geometrical structure onto a graph, the topology of the desert ...
    • Non-isothermal transport of multi-phase fluids in porous media; The entropy production 

      Kjelstrup, Signe; Bedeaux, Dick; Hansen, Alex; Hafskjold, Bjørn; Galteland, Olav (Journal article; Peer reviewed, 2018)
      We derive the entropy production for transport of multi-phase fluids in a non-deformable, porous medium exposed to differences in pressure, temperature, and chemical potentials. Thermodynamic extensive variables on the ...
    • Numerical Simulations of Scattering of Light from Two-Dimensional Rough Surfaces Using the Reduced Rayleigh Equation 

      Simonsen, Ingve; Nordam, Tor; Letnes, Paul Anton (Journal article; Peer reviewed, 2013)
      A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation (RRE) for the scattering of light from two-dimensional penetrable rough surfaces. Implementation and performance ...
    • Onsager-symmetry obeyed in athermal mesoscopic systems: Two-phase flow in porous media 

      Winkler, Mathias; Gjennestad, Magnus Aashammer; Bedeaux, Dick; Kjelstrup, Signe; Cabriolu, Raffaela; Hansen, Alex (Peer reviewed; Journal article, 2020)
      We compute the fluid flow time correlation functions of incompressible, immiscible two-phase flow in porous media using a 2D network model. Given a properly chosen representative elementary volume, the flow rate distributions ...
    • Parameterizations of immiscible two-phase flow in porous media 

      Pedersen, Håkon; Hansen, Alex (Peer reviewed; Journal article, 2023)
      A fundamental variable characterizing immiscible two-phase flow in porous media is the wetting saturation, which is the ratio between the pore volume filled with wetting fluid and the total pore volume. More generally, ...
    • Predicting Motion Patterns Using Optimal Paths 

      Fromreide, Mads; Hansen, Alex (Journal article; Peer reviewed, 2021)
    • Rheology of high-capillary number two-phase flow in porous media 

      Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Winkler, Mathias; Hansen, Alex; Flekkøy, Eirik Grude (Journal article; Peer reviewed, 2019)
      Flow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending ...
    • Size distribution of emitted energies in local load sharing fiber bundles 

      Roy, Subhadeep; Biswas, Soumyajyoti (Journal article; Peer reviewed, 2021)
    • Soft-Clamp Fiber Bundle Model and Interfacial Crack Propagation: Comparison Using a Non-linear Imposed Displacement 

      Stormo, Arne; Lengliné, Olivier; Schmittbuhl, Jean; Hansen, Alex (Peer reviewed; Journal article, 2016)
      We compare experimental observations of a slow interfacial crack propagation along an heterogeneous interface to numerical simulations using a soft-clamped fiber bundle model. The model consists of a planar set of brittle ...
    • Stable and efficient time integration of a dynamic pore network model for two-phase flow in porous media 

      Gjennestad, Magnus Aashammer; Vassvik, Morten; Kjelstrup, Signe; Hansen, Alex (Journal article; Peer reviewed, 2018)
      We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new ...
    • A Thermodynamic Framework for Stretching Processes in Fiber Materials 

      Arango-Restrepo, Andrès; Rubi, Miguel; Pradhan, Srutarshi (Peer reviewed; Journal article, 2021)
      Fiber breakage process involves heat exchange with the medium and energy dissipation in the form of heat, sound, and light, among others. A purely mechanical treatment is therefore in general not enough to provide a complete ...
    • The Three Extreme Value Distributions: An Introductory Review 

      Hansen, Alex (Peer reviewed; Journal article, 2020)
      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 distributions. I describe in this short ...
    • Topological impact of constrained fracture growth 

      Hope, Sigmund Mongstad; Davy, Philippe; Maillot, Julien; Le Goc, Romain; Hansen, Alex (Journal article; Peer reviewed, 2015-09-08)
      The topology of two discrete fracture network models is compared to investigate the impact of constrained fracture growth. In the Poissonian discrete fracture network model the fractures are assigned length, position and ...
    • Topology of fracture networks 

      Andresen, Christian Andre; Hansen, Alex; Le Goc, Romain; Davy, Philippe; Hope, Sigmund Mongstad (Journal article; Peer reviewed, 2013)
      We propose a mapping from fracture systems consisting of intersecting fracture sheets in three dimensions to an abstract network consisting of nodes and links. This makes it possible to analyze fracture systems with the ...
    • Transparent Colloidal Crystals With Structural Colours 

      Erdem, Talha; O´Neill, Thomas; Zupkauskas, Mykolas; Caciagli, Alessio; Xu, Peicheng; Lan, Yang; Boesecke, Peter; Eiser, Erika (Peer reviewed; Journal article, 2022)
      Spatially ordered arrangements of spherical colloids are known to exhibit structural colours. The intensity and brilliance of these structural colours typically improve with colloidal monodispersity, low concentrations of ...