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We investigate the effect of a nondegenerate quadratic nonlinear dimeric impurity on the formation of stationary localized states in one dimensional systems. We also consider the formation of stationary localized states in a fully nonlinear…

Disordered Systems and Neural Networks · Physics 2009-10-30 Anandamohan Ghosh , B. C. Gupta , K. Kundu

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed…

Statistical Mechanics · Physics 2017-10-05 Tobias Grafke , Eric Vanden-Eijnden

In this paper we focus on crystal surfaces led out of equilibrium by a growth or erosion process. As a consequence of that the surface may undergo morphological instabilities and develop a distinct structure: ondulations, mounds or…

Materials Science · Physics 2015-06-05 Paolo Politi

Knitted fabrics are metamaterials with remarkable mechanical properties, such as extreme deformability and multiple history-dependent rest shapes. This letter shows that those properties may stem from a continuous set of metastable states…

Soft Condensed Matter · Physics 2024-10-24 Jérôme Crassous , Samuel Poincloux , Audrey Steinberger

Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully…

Statistical Mechanics · Physics 2011-04-05 Hugo Jacquin , Ludovic Berthier , Francesco Zamponi

Apart from not having crystallized, supercooled liquids can be considered as being properly equilibrated and thus can be described by a few thermodynamic control variables. In contrast, glasses and other amorphous solids can be arbitrarily…

Disordered Systems and Neural Networks · Physics 2017-10-10 Vassiliy Lubchenko , Peter G. Wolynes

Flowing granular materials often abruptly arrest if not driven by sufficient applied stresses. Such abrupt cessation of motion can be economically expensive in industrial materials handling and processing, and is significantly consequential…

Soft Condensed Matter · Physics 2022-01-28 Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

This work addresses the topic of knotted stable structures in excitable media. These structures appear in a wide variety of situations, such as cardiac fibrillation, chemical reactions, etc. Entangled curves have been found in numerical…

Mathematical Physics · Physics 2009-06-23 José L. Trueba , Manuel Arrayás

We use extreme value statistics to study the dynamics of coarsening in aggregation-fragmentation models which form condensates in the steady state. The dynamics is dominated by the formation of local condensates on a coarsening length scale…

Statistical Mechanics · Physics 2023-03-27 Chandrashekar Iyer , Arghya Das , Mustansir Barma

The nonequilibrium dynamical behaviour that arises when two ordered two-dimensional monolayers of particles are sheared over each other is studied in Brownian dynamics simulations. A curious sequence of nonequilibrium states is observed as…

Soft Condensed Matter · Physics 2009-11-07 Moumita Das , Sriram Ramaswamy , G. Ananthakrishna

We report a detailed numerical investigation of a recently introduced two dimensional model for square-to-rectangle martensitic transformation that explains several unusual features of the martensitic transformation. This model includes…

Materials Science · Physics 2007-05-23 S. Sreekala , Rajeev Ahluwalia , G. Ananthakrishna

Entanglement in nonequilibrium systems is considered. A general definition for entanglement measure is introduced, which can be applied for characterizing the level of entanglement produced by arbitrary operators. Applying this definition…

Quantum Physics · Physics 2009-11-10 V. I. Yukalov

Diffusionless phase transitions are at the core of the multifunctionality of (magnetic) shape memory alloys, ferroelectrics and multiferroics. Giant strain effects under external fields are obtained in low symmetric modulated martensitic…

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

Adaptation and Self-Organizing Systems · Physics 2017-11-01 Guram Gogia , Justin Burton

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

The occurrence of system-scale coherent structures, so-called condensates, is a well-known phenomenon in two-dimensional turbulence. Here, the transition to condensate formation is investigated as a function of the magnitude of the force…

Fluid Dynamics · Physics 2020-05-12 Moritz Linkmann , Manuel Hohmann , Bruno Eckhardt

We present some illustrations for the claim that already by looking at the ground states of classical lattice models, one may meet some interesting and non-trivial structures.

Statistical Mechanics · Physics 2012-06-19 Salvador Miracle-Sole

The investigation of collective behaviour in dense assemblies of self-propelled active particles has been motivated by a wide range of biological phenomena. Of particular interest are dynamical transitions of cellular and sub-cellular…

Soft Condensed Matter · Physics 2023-12-05 Yagyik Goswami , G. V. Shivashankar , Srikanth Sastry

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of a phase transition from a liquid to a…

Statistical Mechanics · Physics 2015-05-13 B. Waclaw , J. Sopik , W. Janke , H. Meyer-Ortmanns