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We investigate the growth of two-dimensional (2D) crystals on fluctuating surfaces using a phase field crystal model that is relevant on atomic length and diffusive time scales. Motivated by recent experiments which achieved unprecedented…

Materials Science · Physics 2024-10-04 S. K. Mkhonta , Zhi-Feng Huang , K. R. Elder

Spatial fluctuations of the local electric field induced by a constant applied electric field in composite media are studied analytically and numerically. It is found that the density of states for the fields exhibit sharp peaks and abrupt…

Statistical Mechanics · Physics 2007-05-23 D. Cule , S. Torquato

Jamming is a geometric phase transition occurring in dense particle systems in the absence of temperature. We use computer simulations to analyse the effect of thermal fluctuations on several signatures of the transition. We show that…

Statistical Mechanics · Physics 2015-07-16 Atsushi Ikeda , Ludovic Berthier

Crystallization of supersaturated liquids usually starts by heterogeneous nucleation. Mounting evidence shows that even homogeneous nucleation in simple liquids takes place in two steps; first a dense amorphous precursor forms, and the…

Materials Science · Physics 2014-07-15 László Gránásy , Frigyes Podmaniczky , Gyula I. Tóth , György Tegze , Tamás Pusztai

Spatially uniform electric fields have been used to induce instabilities in liquids and polymers, and to orient and deform ordered phases of block-copolymers. Here we discuss the demixing phase transition occurring in liquid mixtures when…

Statistical Mechanics · Physics 2015-05-13 G. Marcus , Y. Tsori

Understanding the way disordered particle packings transition between jammed (rigid) and unjammed (fluid) states is of both great practical importance and strong fundamental interest. The values of critical packing fraction (and other state…

Soft Condensed Matter · Physics 2026-04-14 Sangwoo Kim , Sascha Hilgenfeldt

Random point configurations are said to be in hyperuniform states, if density fluctuations are anomalously suppressed in large-scale. Typical examples are found in Coulomb gas systems in two dimensions especially called log-gases in random…

Statistical Mechanics · Physics 2025-05-27 Ayana Ezoe , Makoto Katori , Tomoyuki Shirai

An active system consisting of many self-spinning dimers is simulated, and a distinct local rotational jamming transition is observed as the density increases. In the low density regime, the system stays in an absorbing state, in which each…

Soft Condensed Matter · Physics 2022-04-29 Rui Liu , Jianxiao Gong , Mingcheng Yang , Ke Chen

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

Disordered Systems and Neural Networks · Physics 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

Pattern Formation and Solitons · Physics 2013-07-22 Daniel Walgraef

We define a simple model of conformal field theory in random space-time environments, which we refer to as stochastic conformal field theory. This model accounts for the effects of dilute random impurities in strongly interacting critical…

Disordered Systems and Neural Networks · Physics 2017-09-20 Denis Bernard , Benjamin Doyon

Disordered hyperuniform many-body systems are exotic states of matter with novel optical, transport, and mechanical properties. These systems are characterized by an anomalous suppression of large-scale density fluctuations compared to…

Quantum Gases · Physics 2024-09-05 Haina Wang , Rhine Samajdar , Salvatore Torquato

We discuss recent results obtained for the Hamiltonian Mean Field model. The model describes a system of N fully-coupled particles in one dimension and shows a second-order phase transition from a clustered phase to a homogeneous one when…

Statistical Mechanics · Physics 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo

Disordered multihyperuniform many-particle systems are exotic amorphous states that allow exquisite color sensing capabilities due to their anomalous suppression of density fluctuations for distinct subsets of particles, as recently…

Soft Condensed Matter · Physics 2018-01-17 Enrique Lomba , Jean-Jacques Weis , Salvatore Torquato

Spinner mixtures consisting of both clockwise and counterclockwise self-spinning particles are often expected to phase separate. However, we demonstrate that such a demixing is absent for dimer (or rod-like) spinners. These particles always…

Soft Condensed Matter · Physics 2025-04-25 Rui Liu , Mingcheng Yang , Ke Chen

Hyperuniformity refers to the suppression of density fluctuations at large scales. Typical for ordered systems, this property also emerges in several disordered physical and biological systems, where it is particularly relevant to…

Statistical Mechanics · Physics 2025-02-24 Abel H. G. Milor , Marco Salvalaglio

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

In this work we present a study on the characterization of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to…

Disordered Systems and Neural Networks · Physics 2019-08-14 Ariel G. Meyra , Guillermo J. Zarragoicoechea , Alberto. L. Maltz , Enrique Lomba , Salvatore Torquato

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

We investigate the liquid state structure of the two-dimensional (2D) model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)], which exhibits quasicrystalline and other unusual solid phases, focussing on the radial…

Soft Condensed Matter · Physics 2018-09-03 M. C. Walters , P. Subramanian , A. J. Archer , R. Evans