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We study how the rigidity transition in a triangular lattice changes as a function of anisotropy by preferentially filling bonds on the lattice in one direction. We discover that the onset of rigidity in anisotropic spring networks arises…

We use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a dilute binary alloy. Specifically, we observe the effect of…

Materials Science · Physics 2007-05-23 Badrinarayan P. Athreya , Jonathan A. Dantzig , Shan Liu , Rohit Trivedi

We describe a novel crystal growth instability that enhances the development of thin edges, promoting the formation of plate-like or hollow columnar morphologies. This instability arises when diffusion-limited growth is coupled with…

Materials Science · Physics 2012-09-25 Kenneth G. Libbrecht

Motivated by intracellular phase separation, we theoretically investigate how molecular orientation and multi-component nature affect phase behavior. We construct a minimal model for a ternary mixture composed of isotropic (I), anisotropic…

Soft Condensed Matter · Physics 2026-03-12 Hiroshi Yokota

We propose to incorporate grain boundary (GB) anisotropy in phase-field modeling by extending the standard partial differential equations formulation to include a nonlocal functional of an orientation field. Regardless of the number of…

Materials Science · Physics 2026-02-09 Xiao Han , Axel van de Walle

We present adaptive finite element simulations of dendritic and eutectic solidification in binary and ternary alloys. The computations are based on a recently formulated phase-field model that is especially appropriate for modelling…

Materials Science · Physics 2009-11-10 Denis Danilov , Britta Nestler

For isotropic fluids, classical nucleation theory predicts the nucleation rate, barrier height and critical droplet size by accounting for the competition between bulk energy and interfacial tension. The nucleation process in liquid…

Soft Condensed Matter · Physics 2017-08-01 Amit Kumar Bhattacharjee

Order and alignment are ubiquitous in growing colonies of rod-shaped bacteria due to the nematic properties of the constituent particles. These effects are the result of the active stresses generated by growth, passive mechanical…

Soft Condensed Matter · Physics 2022-07-07 Jonas Isensee , Lukas Hupe , Ramin Golestanian , Philip Bittihn

The phase-change material antimony sulfide (Sb$_2$S$_3$) relies on rapid and reversible phase transitions between crystalline and amorphous states, which are critical for their performance in data storage and photonics applications. In this…

Materials Science · Physics 2026-05-21 Souvik Chakraborty , Wen-Qing Li , Yun Liu

We characterize both analytically and numerically short-range forces between spatially diffuse interfaces in multi-phase-field models of polycrystalline materials. During late-stage solidification, crystal-melt interfaces may attract or…

Materials Science · Physics 2015-05-14 N. Wang , R. Spatschek , A. Karma

Effects of scale coupling between mesoscopic slowly-varying envelopes of liquid-solid profile and the underlying microscopic crystalline structure are studied in the phase-field-crystal (PFC) model. Such scale coupling leads to nonadiabatic…

Materials Science · Physics 2015-06-12 Zhi-Feng Huang

Within developing embryos, tissues flow and reorganize dramatically on timescales as short as minutes. This includes epithelial tissues, which often narrow and elongate in convergent extension movements due to anisotropies in external…

Tissues and Organs · Quantitative Biology 2020-06-24 Xun Wang , Matthias Merkel , Leo B. Sutter , Gonca Erdemci-Tandogan , M. Lisa Manning , Karen E. Kasza

It may be possible to stabilize new superfluid phases of $^{3}$He with anisotropic silica aerogels. We discuss two methods that introduce anisotropy in the aerogel on length scales relevant to superfluid $^{3}$He. First, anisotropy can be…

Superconductivity · Physics 2009-11-11 J. Pollanen , S. Blinstein , H. Choi , J. P. Davis , T. M. Lippman , L. B. Lurio , W. P. Halperin

We present an original approach for predicting the static recrystallization texture development during annealing of deformed crystalline materials. The microstructure is considered as a population of subgrains and grains whose sizes and…

Materials Science · Physics 2021-02-22 Arthur Després , Jean-Denis Mithieux , Chad. W. Sinclair

Many ferroelectric solid solutions exhibit enhanced electro-mechanical properties at the morphotropic boundary separating two phases with different orientations of polarization. The mechanism of properties enhancement is associated with…

Materials Science · Physics 2015-05-19 Dragan Damjanovic

We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , M. Reza Mohammadi Mozaffar , Komeil Babaei Velni , Mohammad Sahraei

We numerically investigate the expansion of clouds of hard-core bosons in the two-dimensional square lattice using a matrix-product-state based method. This nonequilibrium set-up is induced by quenching the trapping potential to zero and…

Strongly Correlated Electrons · Physics 2016-10-14 Johannes Hauschild , Frank Pollmann , Fabian Heidrich-Meisner

We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids, via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale $\xi_E$, so that the…

Soft Condensed Matter · Physics 2021-05-19 Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

We analyze the combined effect of the long range Coulomb (LRC) interaction and of surface energy on first order density-driven phase transitions in the presence of a compensating rigid background. We study mixed states formed by regions of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Lorenzana , C. Castellani , C. Di Castro

Topographical and diffuse interface reconfigurations occur with a change in the solidification rate. In this article we pursue the hypothesis that the interface configuration during solidification is determined by the rate of entropy…

Materials Science · Physics 2017-02-14 Yaw Delali Bensah , J. A. Sekhar