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Related papers: Ordering Phenomena on Growing Films

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Granular crystallisation is an important phenomenon whereby ordered packing structures form in granular matter under vibration. However, compared with the well-developed principles of crystallisation at the atomic scale, crystallisation in…

Disordered Systems and Neural Networks · Physics 2018-05-22 Weijing Dai , Joerg Reimann , Dorian Hanaor , Claudio Ferrero , Yixiang Gan

The physics of micron-scale biological colonies usually benefits from different out-of-equilibrium sources. In bacterial colonies and cellular tissues, the growth process is among the important active sources that determine the dynamics. In…

Soft Condensed Matter · Physics 2023-06-16 Forouh Maleki , Ali Najafi

We study the phase-ordering kinetics of the one-dimensional Heisenberg model with conserved order parameter, by means of scaling arguments and numerical simulations. We find a rich dynamical pattern with a regime characterized by two…

Statistical Mechanics · Physics 2009-06-15 R. Burioni , F. Corberi , A. Vezzani

Non-motile elongated bacteria confined in two-dimensional open micro-channels can exhibit collective motion and form dense monolayers with nematic order if the cells proliferate, i.e., grow and divide. Using soft molecular dynamics…

Soft Condensed Matter · Physics 2013-07-25 Sirio Orozco-Fuentes , Denis Boyer

Whether or not there is growing static order accompanying the dynamical heterogeneity and increasing relaxation times seen in glassy systems is a matter of dispute. An obstacle to resolving this issue is that the order is expected to be…

Soft Condensed Matter · Physics 2017-12-27 Andrew J. Dunleavy , Karoline Wiesner , C. Patrick Royall

The selection of stacking order in a broad range of close-packed polymorphic materials remains a challenging enigma. Using in situ cryogenic transmission electron microscopy, we uncover the atomistic mechanisms governing the vapour…

This paper concerns the long term behaviour of a growth model describing a random sequential allocation of particles on a finite cycle graph. The model can be regarded as a reinforced urn model with graph-based interactions. It is motivated…

Probability · Mathematics 2018-05-23 Marcelo Costa , Mikhail Menshikov , Vadim Shcherbakov , Marina Vachkovskaia

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will…

Condensed Matter · Physics 2015-06-25 A. J. Bray

Using kinetic Monte Carlo simulations, we show that molecular morphologies found in non-equilibrium growth can be strongly different from those at equilibrium. We study the prototypical hybrid inorganic-organic system 6P on ZnO(10-10)…

Soft Condensed Matter · Physics 2016-12-21 Nicola Kleppmann , Sabine H. L. Klapp

We consider two (off-lattice) varieties of out-of-equilibrium systems, viz., granular and active matter systems, that, in addition to displaying velocity ordering, exhibit fascinating pattern formation in the density field, similar to those…

Soft Condensed Matter · Physics 2025-04-17 Subir K. Das , Sohini Chatterjee , Wasim Akram , Subhajit Paul , Saikat Chakraborty , Arabinda Bera

Order parameter fluctuations (the largest cluster size distribution) are studied within a three-dimensional bond percolation model on small lattices. Cumulant ratios measuring the fluctuations exhibit distinct features near the percolation…

Nuclear Theory · Physics 2007-05-23 Janusz Brzychczyk

Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

Soft Condensed Matter · Physics 2009-07-31 Mark J. Bowick , Luca Giomi

We study numerically the ordering kinetics in a two-dimensional Ising model with random coupling where the fraction of antiferromagnetic links $a$ can be gradually tuned. We show that, upon increasing such fraction, the behavior changes in…

Statistical Mechanics · Physics 2021-01-12 Manoj Kumar , Federico Corberi , Eugenio Lippiello , Sanjay Puri

Motivated by recent realizations of Dy$_{2}$Ti$_{2}$O$_{7}$ and Ho$_{2}$Ti$_{2}$O$_{7}$ spin ice thin films, and more generally by the physics of confined gauge fields, we study a model of spin ice thin film with surfaces perpendicular to…

Statistical Mechanics · Physics 2017-05-24 L. D. C. Jaubert , T. Lin , T. S. Opel , P. C. W. Holdsworth , M. J. P. Gingras

We study the surface growth generated by the random deposition of particles of different sizes. A model is proposed where the particles are aggregated on an initially flat surface, giving rise to a rough interface and a porous bulk. By…

Statistical Mechanics · Physics 2010-03-19 F. L. Forgerini , W. Figueiredo

Flat surface phases are unstable during growth and known to become rough. This does not exclude the possibility that surface reconstruction order persists in rough growing surfaces, in analogy with so-called equilibrium reconstructed rough…

Statistical Mechanics · Physics 2007-05-23 Chen-Shan Chin , Marcel den Nijs

In systems exhibiting fluctuation-dominated phase ordering, a single order parameter does not suffice to characterize the order, and it is necessary to monitor a larger set. For hard-core sliding particles (SP) on a fluctuating surface and…

Statistical Mechanics · Physics 2016-02-17 Rajeev Kapri , Malay Bandyopadhyay , Mustansir Barma

We investigate the orientational ordering and close-packing behavior of a quasi-one-dimensional (q1D) system of hard superellipses, where the centers of the particles are confined to a line, but they can rotate freely within a…

Soft Condensed Matter · Physics 2025-10-08 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga