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Slowing down phenomena occur in both deterministic and stochastic dynamical systems at the vicinity of phase transitions or bifurcations. An example is found in systems exhibiting a saddle-node bifurcation, which undergo a dramatic time…

动力系统 · 数学 2022-02-25 J. Tomás Lázaro , Tomás Alarcón , Carlos Peña , Josep Sardanyés

We present an adjoint-based optimization method to invert for stress and frictional parameters used in earthquake modeling. The forward problem is linear elastodynamics with nonlinear rate-and-state frictional faults. The misfit functional…

数值分析 · 数学 2024-09-10 Vidar Stiernström , Martin Almquist , Eric M. Dunham

We study the statistical properties of time distribution of seimicity in California by means of a new method of analysis, the Diffusion Entropy. We find that the distribution of time intervals between a large earthquake (the main shock of a…

We study the frictional behavior of small contacts as those realized in the atomic force microscope and other experimental setups, in the framework of generalized Prandtl-Tomlinson models. Particular attention is paid to mechanisms that…

介观与纳米尺度物理 · 物理学 2015-06-05 E. A. Jagla

A part of the seismic time series, in which the Omori law for temporal pattern of aftershocks holds, is refereed to as the Omori regime. Here the properties of correlation between earthquake events both inside and outside of the Omori…

统计力学 · 物理学 2015-06-24 Sumiyoshi Abe , Norikazu Suzuki

The exact mechanisms leading to an earthquake are not fully understood and the space-time structural features are non-trivial. Previous studies suggest the seismicity of very low intensity earthquakes, known as micro-earthquakes, may…

应用统计 · 统计学 2017-05-12 Arash Andalib , Raheleh Baharloo , Jose C. Principe

Earthquakes are produced by the propagation of rapid slip along tectonic faults. The propagation dynamics is governed by a balance between elastic stored energy in the surrounding rock, and dissipated energy at the propagating tip of the…

地球物理 · 物理学 2023-08-01 Fabian Barras , Nicolas Brantut

Slow earthquakes differ from regular earthquakes in their slower moment release and size distribution dominated by smaller events. However, the physical origin of these slow earthquake statistics remains controversial. In this work, we…

地球物理 · 物理学 2025-12-02 Yuto Sasaki , Hiroaki Katsuragi

We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number…

In the quest to determine fault weakening processes that govern earthquake mechanics, it is common to infer the earthquake breakdown energy from seismological measurements. Breakdown energy is observed to scale with slip, which is often…

地球物理 · 物理学 2022-07-15 Chun-Yu Ke , Gregory C. McLaskey , David S. Kammer

Amontons' law states that the maximum static friction force on a solid object is proportional to the loading force and is independent of the apparent contact area. This law indicates that the static friction coefficient does not depend on…

材料科学 · 物理学 2023-02-14 Wataru Iwashita , Hiroshi Matsukawa , Michio Otsuki

We report a surprising hysteretic behavior in the dynamics of a simple one-dimensional nonlinear model inspired by the tribological problem of two sliding surfaces with a thin solid lubricant layer in between. In particular, we consider the…

材料科学 · 物理学 2012-10-29 Andrea Vanossi , Giuseppe E. Santoro , Nicola Manini , Marco Cesaratto , Erio Tosatti

The transition from static to dynamic friction is often described as a fracture-like instantaneous slip. However, studies on slow sliding processes aimed at understanding frictional instabilities and earthquakes report slow friction…

软凝聚态物质 · 物理学 2021-07-07 Kasra Farain , Daniel Bonn

We introduce a modification of the OFC earthquake model [Phys. Rev. Lett. 68, 1244 (1992)] in order to improve resemblance with the Burridge and Knopoff mechanical model and with possible laboratory experiments. A constant force continually…

统计力学 · 物理学 2009-11-11 O. Ramos , E. Altshuler , K. J. Maloy

Understanding how stick-slip dynamics manifests in diverse physical conditions is a crucial topic in tribology. Although it has been extensively studied in simple frictional configurations, the characterization of stick-slip behavior in…

软凝聚态物质 · 物理学 2026-02-17 A. Plati , F. Restagno , C. Poulard

Accelerating displacements preceding some catastrophic landslides have been found empirically to follow a time-to-failure power law, corresponding to a finite-time singularity of the velocity $v \sim 1/(t_c-t)$ [{\it Voight}, 1988]. Here,…

统计力学 · 物理学 2015-06-24 A. Helmstetter , D. Sornette , J. -R. Grasso , J. V. Andersen , S. Gluzman , V. Pisarenko

Fluid injections can induce aseismic slip, resulting in stress changes that may propagate faster than pore pressure diffusion, potentially triggering seismicity at significant distances from injection wells. Constraining the maximum extent…

地球物理 · 物理学 2024-09-06 Alexis Sáez , François Passelègue , Brice Lecampion

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…

软凝聚态物质 · 物理学 2015-09-30 Charles K. C. Lieou , Ahmed E. Elbanna , J. S. Langer , J. M. Carlson

Earthquakes and aftershock sequences follow several empirical scaling laws: One of these laws is Bath's law for the magnitude of the largest aftershock. In this work, Modified Form of Bath's Law and its application to KOERI data have been…

地球物理 · 物理学 2007-05-23 S. E. Yalcin , M. L. Kurnaz

We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture,…