Articles | Volume 12, issue 8
https://doi.org/10.5194/se-12-1829-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-12-1829-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Cross-diffusion waves resulting from multiscale, multiphysics instabilities: application to earthquakes
School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052, Australia
Manman Hu
Department of Civil Engineering, The University of Hong Kong, Hong Kong
Christoph Schrank
Science and Engineering Faculty, Queensland University of Technology, Brisbane, QLD 4001, Australia
Xiao Chen
School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052, Australia
Santiago Peña Clavijo
School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052, Australia
Ulrich Kelka
CSIRO, Deep Earth Imaging FSP, Kensington, Australia
Ali Karrech
School of Engineering, University of Western Australia, Crawley, WA 6009, Australia
Oliver Gaede
Science and Engineering Faculty, Queensland University of Technology, Brisbane, QLD 4001, Australia
Tomasz Blach
School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052, Australia
Hamid Roshan
School of Minerals and Energy Resources Engineering, UNSW, Sydney, NSW 2052, Australia
Antoine B. Jacquey
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
Piotr Szymczak
Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland
Qingpei Sun
Department of Civil Engineering, The University of Hong Kong, Hong Kong
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Cited
11 citations as recorded by crossref.
- Cross-diffusion waves by cellular automata modeling: Pattern formation in porous media Z. Zhu et al. https://doi.org/10.1063/5.0233077
- Onsager’s reciprocal relationship applied to multiphysics poromechanics K. Regenauer-Lieb & M. Hu https://doi.org/10.1016/j.finmec.2023.100213
- Understanding earthquake precursors: from subcritical instabilities to catastrophic events K. Regenauer-Lieb & M. Hu https://doi.org/10.1088/1402-4896/ad36f2
- Amplitude-parameter-induced versatile dual-modulation of nonlinearity and dispersion in inhomogeneous higher-order-effect optical fibers K. Huo https://doi.org/10.1007/s12648-026-04073-w
- Cross-scale dynamic interactions in compacting porous media as a trigger to pattern formation M. Hu et al. https://doi.org/10.1093/gji/ggac115
- Beyond static forecasts: a dynamic stress gradient framework for high-resolution aftershock prediction and mitigation B. Liao https://doi.org/10.5194/npg-33-123-2026
- A Reactive-Chemo-Mechanical Model for Weak Acid-Assisted Cavity Expansion in Carbonate Rocks X. Tang & M. Hu https://doi.org/10.1007/s00603-022-03077-2
- Emergence of precursor instabilities in geo-processes: Insights from dense active matter K. Regenauer-Lieb & M. Hu https://doi.org/10.1016/j.heliyon.2023.e22701
- A Physically Constrained KPP–Rate-and-State Reaction–Diffusion Framework for Stable Large-Scale Modeling of Stress Evolution B. Liao https://doi.org/10.3390/electronics15051131
- Dispersion and nonlinearity modulation in inhomogeneous nonlinear Schrödinger equation with fourth-order dispersion K. Huo https://doi.org/10.1016/j.physleta.2026.132127
- Solitary pulses and periodic wave trains in a bistable FitzHugh-Nagumo model with cross diffusion and cross advection E. Zemskov et al. https://doi.org/10.1103/PhysRevE.105.014207
11 citations as recorded by crossref.
- Cross-diffusion waves by cellular automata modeling: Pattern formation in porous media Z. Zhu et al. https://doi.org/10.1063/5.0233077
- Onsager’s reciprocal relationship applied to multiphysics poromechanics K. Regenauer-Lieb & M. Hu https://doi.org/10.1016/j.finmec.2023.100213
- Understanding earthquake precursors: from subcritical instabilities to catastrophic events K. Regenauer-Lieb & M. Hu https://doi.org/10.1088/1402-4896/ad36f2
- Amplitude-parameter-induced versatile dual-modulation of nonlinearity and dispersion in inhomogeneous higher-order-effect optical fibers K. Huo https://doi.org/10.1007/s12648-026-04073-w
- Cross-scale dynamic interactions in compacting porous media as a trigger to pattern formation M. Hu et al. https://doi.org/10.1093/gji/ggac115
- Beyond static forecasts: a dynamic stress gradient framework for high-resolution aftershock prediction and mitigation B. Liao https://doi.org/10.5194/npg-33-123-2026
- A Reactive-Chemo-Mechanical Model for Weak Acid-Assisted Cavity Expansion in Carbonate Rocks X. Tang & M. Hu https://doi.org/10.1007/s00603-022-03077-2
- Emergence of precursor instabilities in geo-processes: Insights from dense active matter K. Regenauer-Lieb & M. Hu https://doi.org/10.1016/j.heliyon.2023.e22701
- A Physically Constrained KPP–Rate-and-State Reaction–Diffusion Framework for Stable Large-Scale Modeling of Stress Evolution B. Liao https://doi.org/10.3390/electronics15051131
- Dispersion and nonlinearity modulation in inhomogeneous nonlinear Schrödinger equation with fourth-order dispersion K. Huo https://doi.org/10.1016/j.physleta.2026.132127
- Solitary pulses and periodic wave trains in a bistable FitzHugh-Nagumo model with cross diffusion and cross advection E. Zemskov et al. https://doi.org/10.1103/PhysRevE.105.014207
Saved (final revised paper)
Latest update: 03 Sep 2026
Short summary
This paper presents a trans-disciplinary approach bridging the gap between observations of instabilities from the molecular scale to the very large scale. We show that all scales communicate via propagation of volumetric deformation waves. Similar phenomena are encountered in quantum optics where wave collisions can release sporadic bursts of light. Ocean waves show a similar phenomenon of rogue waves that seem to come from nowhere. This mechanism is proposed to be the trigger for earthquakes.
This paper presents a trans-disciplinary approach bridging the gap between observations of...