Articles | Volume 12, issue 4
https://doi.org/10.5194/se-12-869-2021
https://doi.org/10.5194/se-12-869-2021
Research article
 | 
16 Apr 2021
Research article |  | 16 Apr 2021

Cross-diffusion waves resulting from multiscale, multi-physics instabilities: theory

Klaus Regenauer-Lieb, Manman Hu, Christoph Schrank, Xiao Chen, Santiago Peña Clavijo, Ulrich Kelka, Ali Karrech, Oliver Gaede, Tomasz Blach, Hamid Roshan, and Antoine B. Jacquey

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Cross-diffusion waves resulting from multiscale, multiphysics instabilities: application to earthquakes
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Related subject area

Subject area: Tectonic plate interactions, magma genesis, and lithosphere deformation at all scales | Editorial team: Rock deformation, geomorphology, morphotectonics, and paleoseismology | Discipline: Geophysics
Cross-diffusion waves resulting from multiscale, multiphysics instabilities: application to earthquakes
Klaus Regenauer-Lieb, Manman Hu, Christoph Schrank, Xiao Chen, Santiago Peña Clavijo, Ulrich Kelka, Ali Karrech, Oliver Gaede, Tomasz Blach, Hamid Roshan, Antoine B. Jacquey, Piotr Szymczak, and Qingpei Sun
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Cited articles

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Barraclough, T. W., Blackford, J. R., Liebenstein, S., Sandfeld, S., Stratford, T. J., Weinländer, G., and Zaiser, M.: Propagating compaction bands in confined compression of snow, Nat. Phys., 13, 272–275, 2017. a, b
Benallal, A. and Bigoni, D.: Effects of temperature and thermo-mechanical couplings on material instabilities and strain localization of inelastic materials, J. Mech. Phys. Solids, 52, 725, https://doi.org/10.1016/S0022-5096(03)00118-2, 2004. a, b, c
Short summary
In this paper we expand on a recent discovery of slow cross-diffusion hydromechanical waves cast into a new concise reaction–diffusion equation for THMC coupling. If waves are excited through the THMC reaction terms unbounded reactions can be captured by inclusion of statistical information from the lower scale through nonlocal reaction–diffusion equations. These cross-diffusion coefficients regularize extreme earthquake-like events (rogue waves) through a new form of quasi-soliton wave.