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We analyze 21 aftershock sequences of California to test for evidence of space-time diffusion. Aftershock diffusion may result from stress diffusion and is also predicted by any mechanism of stress weakening. Here, we test an alternative…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Guy Ouillon , Didier Sornette

A plethora of natural and industrial shear-driven granular flows exhibit particle-size segregation. Its occurrence is commonly attributed to two primary mechanisms: kinetic sieving and squeeze expulsion. While kinetic sieving is relatively…

Soft Condensed Matter · Physics 2026-04-08 Alexander J. Navarrete , Leonardo Gordillo , Tomás Trewhela

Finite Element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that in shearing deformations the corresponding normal stress distribution can…

Soft Condensed Matter · Physics 2013-02-13 Michel Destrade , Michael D. Gilchrist , Julie Motherway , Jerry G. Murphy

Self-similarity may stem from two origins: the process' increments infinite variance and/or process' memory. The $b$-value of the Gutenberg-Richter law comes from the first origin. In the frame of natural time analysis of earthquake data, a…

Geophysics · Physics 2015-06-05 P. A. Varotsos , N. V. Sarlis , E. S. Skordas

In this numerical study, measurements of the contact forces inside a periodic two-dimensional sheared system of soft frictional particles are reported. The distribution of normalized normal forces exhibits a gradual broadening with…

Soft Condensed Matter · Physics 2015-07-28 Jens Boberski , M. Reza Shaebani , Dietrich E. Wolf

Active faults release elastic strain energy via a whole continuum of modes of slip, ranging from devastating earthquakes to Slow Slip Events and persistent creep. Understanding the mechanisms controlling the occurrence of rapid, dynamic…

Geophysics · Physics 2017-10-02 Pierre Romanet , Harsha S. Bhat , Romain Jolivet , Raúl Madariaga

We propose a simple theory for the ``universal'' scaling law previously reported for the distributions of waiting times between earthquakes. It is based on a largely used benchmark model of seismicity, which just assumes no difference in…

Geophysics · Physics 2009-11-11 A. Saichev , D. Sornette

Different strength of hydrodynamic instability can be induced by the variations in the initial diffusion of shock bubble interaction (SBI), while the influence of hydrodynamic instability on variable-density mixing in SBI remains unclear.…

Fluid Dynamics · Physics 2025-07-03 Xu Han , Bin Yu , Hong Liu

We analyze regional earthquake energy statistics from the Southern California and Japan seismic catalogs and find scale-invariant energy distributions characterized by an exponent $\tau \simeq 1.67$. To quantify how closely scale-invariant…

Statistical Mechanics · Physics 2025-12-22 K. Duplat , G. Varas , O. Ramos

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

Applications · Statistics 2018-10-19 Leonardo Azevedo , Vasily Demyanov

We report a similarity of fluctuations in equilibrium critical phenomena and non-equilibrium systems, which is based on the concept of natural time. The world-wide seismicity as well as that of San Andreas fault system and Japan are…

Geophysics · Physics 2007-05-23 P. A. Varotsos , N. V. Sarlis , H. K. Tanaka , E. S. Skordas

We study earthquake interval time statistics, paying special attention to inter-occurrence times in the two-dimensional (2D) stick-slip (block-slider) model. Inter-occurrence times are the time interval between successive earthquakes on all…

Statistical Mechanics · Physics 2017-08-23 Tomohiro Hasumi , Yoji Aizawa

Using the simple ETAS branching model of seismicity, which assumes that each earthquake can trigger other earthquakes, we quantify the role played by the cascade of triggered seismicity in controlling the rate of aftershock decay as well as…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Didier Sornette

A likely source of earthquake clustering is static stress transfer between individual events. Previous attempts to quantify the role of static stress for earthquake triggering generally considered only the stress changes caused by large…

Geophysics · Physics 2017-06-28 Shyam Nandan , Guy Ouillon , Jochen Woessner , Didier Sornette , Stefan Wiemer

Numerical simulation of seismicity has been successfully developed and used for the two last decades. Presently, the general theory of modeling and the progress in computational techniques provide wide options for simulation of seismic and…

Geophysics · Physics 2015-07-17 Aleksandr M. Linkov , Liliana Rybarska-Rusinek , Victor V. Zoubkov

The origin of wall shear-stress fluctuations in wall turbulence was studied through energy dissipation at the wall. While confirming the universality in wall dissipation at small inner scales, the dissipation at larger scales is a…

Fluid Dynamics · Physics 2024-05-02 Myoungkyu Lee , Yongyun Hwang

We propose a theory of shear flow in dense granular materials. A key ingredient of the theory is an effective temperature that determines how the material responds to external driving forces such as shear stresses and vibrations. We show…

Soft Condensed Matter · Physics 2015-09-30 Charles K. C. Lieou , Ahmed E. Elbanna , J. S. Langer , J. M. Carlson

The number of splashed fingers generated by a solid projectile's impact onto a viscous liquid layer is experimentally studied. A steel sphere is dropped onto a viscous liquid pool. Then, a fingering instability occurs around the crater's…

Fluid Dynamics · Physics 2015-06-11 H. Katsuragi

We report moment distribution results from a laboratory earthquake fault experiment consisting of sheared elastic plates separated by a narrow gap filled with a two dimensional granular medium. Local measurement of strain displacements of…

Soft Condensed Matter · Physics 2014-10-23 Drew A. Geller , Robert E. Ecke , Karin A. Dahmen , Scott Backhaus

A statistical model for describing the scaling of the distribution of inter-event times is described. By considering the diverse region seismicity (natural and induced) at different scale levels the self-similarity of the distribution has…

Other Condensed Matter · Physics 2009-11-11 V. German