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We demonstrate how to construct dynamic phase diagrams for complex fluids that undergo transitions under flow, in which the conserved composition variable and the broken-symmetry order parameter (nematic, smectic, crystalline, etc.) are…

Soft Condensed Matter · Physics 2009-10-30 Peter D. Olmsted , C. -Y. D. Lu

Engineering synthetic materials that mimic the remarkable complexity of living organisms is a fundamental challenge in science and technology. We study the spatiotemporal patterns that emerge when an active nematicfilm of microtubules and…

Motivated by observations of heterogeneous domain structure on the surface of cells, we consider a minimal model to describe the dynamics of phase separation on the surface of a spherical particle. Finite-size effects on the curved particle…

Soft Condensed Matter · Physics 2016-07-13 Matthias C. Bott , Joseph M. Brader

Many living and non-living complex systems can be modeled and understood as collective systems made of heterogeneous components that self-organize and generate nontrivial morphological structures and behaviors. This chapter presents a brief…

Adaptation and Self-Organizing Systems · Physics 2018-01-09 Hiroki Sayama

Despite many attempts, ordered equilibrium microphases have yet to be obtained in experimental colloidal suspensions. The recent computation of the equilibrium phase diagram of a microscopic, particle-based microphase former [Zhuang et al.,…

Soft Condensed Matter · Physics 2017-09-07 Yuan Zhuang , Patrick Charbonneau

With few systems of technological interest having been studied as extensively as elemental silicon, there currently exists a wide disparity between the number of predicted low-energy silicon polymorphs and those, which have been…

Materials Science · Physics 2017-11-08 Eric Jones , Vladan Stevanovic

Assembly is a key industrial process to achieve finished goods. Driven by market demographics and technological advancements, industrial assembly has evolved through several phases i.e. craftmanship, bench assembly, assembly lines and…

Systems and Control · Electrical Eng. & Systems 2025-01-07 Ali Ahmad Malik

The succession of suggested mechanisms of solid-state phase transitions - Second-order, Lambda, Martensitic, Displacive, Topological, Order-Disorder, Soft-mode, Incommensurate, Scaling and Quantum - are analyzed and explained why they…

Materials Science · Physics 2013-12-30 Yuri Mnyukh

We introduce a driven diffusive model involving poly-dispersed hard k-mers on a one dimensional periodic ring and investigate the possibility of phase separation transition in such systems. The dynamics consists of a size dependent…

Statistical Mechanics · Physics 2015-06-23 Bijoy Daga , P. K. Mohanty

Hard helices can be regarded as a paradigmatic elementary model for a number of natural and synthetic soft matter systems, all featuring the helix as their basic structural unit: from natural polynucleotides and polypeptides to synthetic…

A self-interacting polymer can undergo an orientational ordering transition, depending on the magnitude of the nematic interaction. The effect of embedding such a polymer into a flexible surface on this transition is studied on the…

Condensed Matter · Physics 2009-10-28 Rudolf Podgornik

Amorphous solids are mechanically rigid while possessing a disordered structure similar to that of dense liquids. Recent research indicates that dynamical heterogeneity, spatio-temporal fluctuations in local dynamical behavior, might help…

Statistical Mechanics · Physics 2011-06-10 Ludovic Berthier

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

The existence of topological order is frequently associated with strongly coupled quantum matter. Here, we demonstrate the existence of topological phases in classical systems of densely packed, hard, anisotropic polyhedrally shaped…

Soft Condensed Matter · Physics 2019-10-02 William Zygmunt , Erin G. Teich , Greg van Anders , Sharon C. Glotzer

Dynamical symmetries are of considerable importance in elucidating the complex behaviour of strongly interacting systems with many degrees of freedom. Paradigmatic examples are cooperative phenomena as they arise in phase transitions, where…

Mathematical Physics · Physics 2015-11-16 Malte Henkel

We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

We develop a mesoscopic model to study the plastic behavior of an amorphous material under cyclic loading. The model is depinning-like and driven by a disordered thresholds dynamics which are coupled by long-range elastic interactions. We…

Soft Condensed Matter · Physics 2023-08-07 Dheeraj Kumar , Sylvain Patinet , Craig E. Maloney , Ido Regev , Damien Vandembroucq , Muhittin Mungan

Anisotropic homogeneous metamaterials that are neither wholly dissipative nor wholly active at a specific frequency are permitted by classical electromagnetic theory. Well-established homogenization formalisms indicate that such a…

Optics · Physics 2015-12-22 Tom G. Mackay , Akhlesh Lakhtakia

The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero…

adap-org · Physics 2016-08-16 G. Grinstein , M. A. Muñoz , Yuhai Tu
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