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When amorphous solids are subjected to simple or pure strain, they exhibit elastic increase in stress, punctuated by plastic events that become denser (in strain) upon increasing the system size. It is customary to assume in theoretical…

Soft Condensed Matter · Physics 2023-05-22 Chandana Mondal , Michael Moshe , Itamar Procaccia , Saikat Roy

We study the dynamic after a smooth quench across a continuous transition from the disordered phase to the ordered phase. Based on scaling ideas, linear response and the spectrum of unstable modes, we develop a theoretical framework, valid…

High Energy Physics - Theory · Physics 2015-06-24 Paul M. Chesler , Antonio M. Garcia-Garcia , Hong Liu

Amorphous solids under mechanical strains are prone to plastic responses. Recent work showed that in amorphous granular system these plastic events, that are typically quadrupolar in nature, can screen the elastic response. When the density…

Materials Science · Physics 2022-07-20 Avanish Kumar , Michael Moshe , Itamar Procaccia , Murari Singh

We study dynamic self-organisation and order-disorder transitions in a two-dimensional system of self-propelled particles. Our model is a variation of the Vicsek model, where particles align the motion to their neighbours but repel each…

Statistical Mechanics · Physics 2013-05-02 Maksym Romenskyy , Vladimir Lobaskin

In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid-solid phase transformations in groundwater…

Analysis of PDEs · Mathematics 2017-03-24 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

Systems with many stable configurations abound in nature, both in living and inanimate matter. Their inherent nonlinearity and sensitivity to small perturbations make them challenging to study, particularly in the presence of external…

Adaptation and Self-Organizing Systems · Physics 2023-12-12 Hridesh Kedia , Deng Pan , Jean-Jacques Slotine , Jeremy L. England

We investigate a variational theory for magnetoelastic solids under the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference…

Analysis of PDEs · Mathematics 2015-01-08 Martin Kružík , Ulisse Stefanelli , Jan Zeman

With suitably designed Monte Carlo simulations we have investigated the properties of mobile, impenetrable, yet deformable particles that are immersed into a porous matrix, the latter one realized via a frozen configuration of spherical…

Soft Condensed Matter · Physics 2022-01-12 Alexander Stadik , Gerhard Kahl

We investigate the driven states of a two-dimensional crystal whose ground state can be tuned through a square-triangular transition. The depinning of such a system from a quenched random background potential occurs via a complex sequence…

Statistical Mechanics · Physics 2009-11-11 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

We develop a mean-field model to examine the stability of a `quasi-2D suspension' of elongated particles embedded within a viscous membrane. This geometry represents several biological and synthetic settings, and we reveal mechanisms by…

Fluid Dynamics · Physics 2024-05-22 Harishankar Manikantan

In the present work, the overall nonlinear elastic behavior of a 1D multi-modular structure incorporating possible imperfections at the discrete (micro-scale) level, is derived with respect to both tensile and compressive applied loads. The…

Soft Condensed Matter · Physics 2019-04-10 S. Palumbo , L. Deseri , D. R. Owen , M. Fraldi

A wide range of materials can exist in microscopically disordered solid forms, referred to as amorphous solids or glasses. Such materials -- oxide glasses and metallic glasses, to polymer glasses, and soft solids such as colloidal glasses,…

Soft Condensed Matter · Physics 2021-08-20 Anshul D. S. Parmar , Srikanth Sastry

Using a version of density-functional theory which combines Onsager approximation and fundamental-measure theory for spatially nonuniform phases, we have studied the phase diagram of freely rotating hard rectangles and hard discorectangles.…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

A fundamental challenge for disordered solids is predicting macroscopic yield from the microscopic arrangements of constituent particles. Yield is accompanied by a sudden and large increase in energy dissipation due to the onset of plastic…

Soft Condensed Matter · Physics 2022-06-01 K. L. Galloway , E. G. Teich , X-g Ma , Ch. Kammer , I. R. Graham , N. C. Keim , C. Reina , D. J. Jerolmack , A. G. Yodh , P. E. Arratia

When a disordered solid is sheared, yielding is followed by the onset of intermittent response that is characterized by slip in local regions usually labeled shear-transformation zones (STZ). Such intermittent response resembles the…

Materials Science · Physics 2016-04-06 Stefanos Papanikolaou

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

Langevin dynamical simulations are performed to study the depinning dynamics of two-dimensional dusty plasmas on a one-dimensional periodic substrate. From the diagnostics of the sixfold coordinated particles $P_6$ and the collective drift…

Plasma Physics · Physics 2024-04-23 L. Gu , W. Li , C. Reichhardt , C. J. O. Reichhardt , M. S. Murillo , Yan Feng

Fluctuations typically destroy long-range order in two-dimensional (2D) systems, posing a fundamental challenge to the existence of exotic states like supersolids, which paradoxically combine solid-like structure with frictionless…

The term "solid-state turbulence" may sound like an oxymoron, but in fact it is not. In this article we demonstrate that solid-state turbulence may emerge owing to a defining property of the solid state: the ability of a solid to retain its…

Fluid Dynamics · Physics 2021-11-10 Y. Beygelzimer , A. E. Filippov , R. Kulagin , Y. Estrin

Disordered hyperuniform structures are an exotic state of matter having suppressed density fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any long range orientational order. In the past decade,…

Soft Condensed Matter · Physics 2024-11-18 Yusheng Lei , Ran Ni