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Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

混沌动力学 · 物理学 2007-05-23 Changsong Zhou , C. -H. Lai

Autonomous oscillators, such as clocks and lasers, produce periodic signals \emph{without} any external frequency reference. In order to sustain stable periodic motions, there needs to be external energy supply as well as nonlinearity built…

介观与纳米尺度物理 · 物理学 2016-12-13 Changyao Chen , Damián H. Zanette , Jeffrey R. Guest , David A. Czaplewski , Daniel López

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

The elastic coupling between plastic events is generally invoked to interpret plastic properties and failure of amorphous soft glassy materials. We report an experiment where the emergence of a self-organized plastic flow is observed well…

软凝聚态物质 · 物理学 2014-05-21 Le Bouil Antoine , Amon Axelle , McNamara Sean , Crassous Jérôme

Constriction-based Josephson weak-links display a thermal bi-stability between two states exhibiting zero and finite voltages. This manifests in experiments either as hysteresis in weak-links current voltage characteristics or as random…

We assume that the energy spectrum of a chaotic system undergoing symmetry breaking transitions can be represented as a superposition of independent level sequences, one increasing on the expense of the others. The relation between the…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd , M. H. Simbel

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly…

统计力学 · 物理学 2015-06-24 I. L. Menezes-Sobrinho , J. G. Moreira , A. T. Bernardes

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

统计力学 · 物理学 2010-10-07 Edan Lerner , Itamar Procaccia

We investigate the scaling properties of the sources of crackling noise in a fully-dynamic numerical model of sedimentary rocks subject to uniaxial compression. The model is initiated by filling a cylindrical container with randomly-sized…

无序系统与神经网络 · 物理学 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main

We study the phenomenon of system size stochastic resonance within the nonequilibrium potential's framework. We analyze three different cases of spatially extended systems, exploiting the knowledge of their nonequilibrium potential, showing…

统计力学 · 物理学 2009-11-11 B. von Haeften , G. Izus , H. S. Wio

We review the mathematical formalism underlying the modelling of stochasticity in biological systems. Beginning with a description of the system in terms of its basic constituents, we derive the mesoscopic equations governing the dynamics…

种群与进化 · 定量生物学 2012-11-05 Alan J. McKane , Tommaso Biancalani , Tim Rogers

We study the reflection of an acoustic plane wave from a steadily sliding planar interface with velocity strengthening friction or a shear band in a confined granular medium. The corresponding acoustic impedance is utterly different from…

凝聚态物理 · 物理学 2009-11-10 C. Caroli , B. Velicky

We experimentally and numerically examine stress-dependent electrical transport in granular materials to elucidate the origins of their universal dielectric response. The ac responses of granular systems under varied compressive loadings…

无序系统与神经网络 · 物理学 2019-10-25 Chongpu Zhai , Dorian Hanaor , Gwénaëlle Proust , Yixiang Gan

One of the possible mechanisms for acoustic emission of growing micro-cracks under conditions of the material machining by com-pressed abrasive has been theoretically studied. Physical ground of this mechanism is the dislocation creep in…

材料科学 · 物理学 2007-05-23 A. K. Aringazin , V. D. Krevchik , V. A. Skryabin , M. B. Semenov , G. V. Tarabrin

Granular materials can fail through spontaneous events like earthquakes or brittle fracture. However, measurements and analytic models which forecast failure in this class of materials, while of both fundamental and practical interest,…

软凝聚态物质 · 物理学 2018-06-04 Theodore A. Brzinski , Karen E. Daniels

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

软凝聚态物质 · 物理学 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

In this work we study the rheological features of yield stress materials that exhibit non-homogeneous steady flows and that are subjected to an additional mechanical noise. Using a mesoscale elasto-plastic model accounting for a viscosity…

软凝聚态物质 · 物理学 2026-01-08 Magali Le Goff , Eric Bertin , Kirsten Martens

We study the geometrically nonlinear behavior of uniformly compressed tensegrity prisms, through fully elastic and rigid--elastic models. The presented models predict a variety of mechanical behaviors in the regime of large displacements,…

材料科学 · 物理学 2015-06-19 Fernando Fraternali , Gerardo Carpentieri , Ada Amendola

The state of a 2-D random resistor network, resulting from the simultaneous evolutions of two competing biased percolations, is studied in a wide range of bias values. Monte Carlo simulations show that when the external current $I$ is below…

统计力学 · 物理学 2009-11-07 C. Pennetta , L. Reggiani , E. Alfinito , G. Trefan