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We study the equilibrium configurations related to the growth of an elastic fibre in a confining flexible ring. This system represents a paradigm for a variety of biological, medical, and engineering problems. We consider a simplified…

Soft Condensed Matter · Physics 2022-10-17 Arsenio Cutolo , Massimiliano Fraldi , Gaetano Napoli , Giuseppe Puglisi

Starting with a many-atom master equation of a kinetic, restricted solid-on-solid (KRSOS) model with external material deposition, we investigate nonlinear aspects of the passage to a mesoscale description for a crystal surface in 1+1…

Mesoscale and Nanoscale Physics · Physics 2016-07-01 Joshua P. Schneider , Paul N. Patrone , Dionisios Margetis

The ability to predict the morphology of crystals formed by chemical reactions is of fundamental importance for the shape-controlled synthesis of nanostructures. Based on the atomistic mechanism for crystal growth under different driving…

Materials Science · Physics 2009-11-13 B. Viswanath , Paromita Kundu , B. Mukherjee , N. Ravishankar

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

The influence of static stress and alternating loading direction on the potential energy and mechanical properties of amorphous alloys is investigated using molecular dynamics simulations. The model glass is represented via a binary mixture…

Soft Condensed Matter · Physics 2021-02-09 Nikolai V. Priezjev

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

In this article, fractal concepts were used to explore the thermally evaporated potassium bromide thin films of different thicknesses 200, 300, and 500 nm respectively; grown on aluminium substrates at room temperature. The self-affine or…

Materials Science · Physics 2018-06-22 R. Rai , R. P. Yadav , Triloki , Nabeel Jammal , A. K. Singh , B. K. Singh

In this paper a reduced one-dimensional moving boundary model is studied that describes the evolution of a biofilm driven by the presence of a reaction limiting substrate. Global well-posedness is established for the resulting parabolic…

Analysis of PDEs · Mathematics 2025-05-30 Patrick Guidotti , Christoph Walker

We developed a consistent mathematical model for isotropic crystal growth on a substrate covered by the mask material with a periodic series of parallel long trenches where the substrate is exposed to the vapor phase. Surface diffusion and…

Materials Science · Physics 2009-11-07 M. Khenner , R. J. Braun , M. G. Mauk

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the mechanics behind growth-induced wrinkling instabilities in…

Pattern Formation and Solitons · Physics 2022-06-28 Sumit Mehta , Gangadharan Raju , Prashant Saxena

We examine the shape of a an isolated, dislocation-free ice crystal when it is in equilibrium with the vapor phase in an isothermal closed environment, as a function of temperature. From our analysis we draw the following conclusions: 1)…

Materials Science · Physics 2012-05-08 Kenneth G. Libbrecht

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

We study far-from-equilibrium physics of strongly interacting plasmas at criticality and zero charge density for a wide range of dynamical scaling exponents z in d dimensions using holographic methods. In particular, we consider homogeneous…

High Energy Physics - Theory · Physics 2016-08-03 Umut Gürsoy , Aron Jansen , Watse Sybesma , Stefan Vandoren

The influence of cyclic loading and glass stability on structural relaxation and yielding transition in amorphous alloys was investigated using molecular dynamics simulations. We considered a binary mixture cooled deep into the glass phase…

Soft Condensed Matter · Physics 2022-11-09 Pritam Kumar Jana , Nikolai V. Priezjev

Granular systems confined in vertically vibrated shallow horizontal boxes (quasi two-dimensional geometry) present a liquid to solid phase transition when the frequency of the periodic forcing is increased. An effective model, where grains…

Statistical Mechanics · Physics 2018-08-08 Dino Risso , Rodrigo Soto , Marcelo Guzman

Understanding the role of solute diffusivities in equilibrium tie-line selection during growth of a second phase in ternary and higher multicomponent two phase alloys is an important problem due to the strong dependence of mechanical…

Materials Science · Physics 2016-03-31 Arka Lahiri , T. A. Abinandanan , Abhik Choudhury , M. S. Bhaskar

Roughness and orientational order in thin films of anisotropic particles are investigated using kinetic Monte Carlo simulations on a cubic lattice. Anisotropic next-neighbor interactions between the lattice particles were chosen to mimic…

Soft Condensed Matter · Physics 2022-09-08 Eelco Empting , Nicolas Bader , Martin Oettel

Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

Statistical Mechanics · Physics 2007-05-23 M. Mueller , K. Binder , E. V. Albano

We simulate a growth model with restricted surface relaxation process in d=1 and d=2, where d is the dimensionality of a flat substrate. In this model, each particle can relax on the surface to a local minimum, as the Edwards-Wilkinson…

Statistical Mechanics · Physics 2009-11-07 T. J. da Silva , J. G. Moreira
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