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Related papers: Glass Transition in a 2D Lattice Model

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There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

We present the first observations of a square lattice formation in a monodisperse complex plasma system - a configurational transition phenomenon that has long been an experimental challenge in the field. The experiments are conducted in a…

Plasma Physics · Physics 2022-08-05 Swarnima Sing , Pintu Bandyopadhyay , Krishan Kumar , Abhijit Sen

A phenomenological model is proposed for melting of a vortex lattice, based on screening of the elastic shear modulus by mobile or partially pinned dislocations. A first-order softening line is found and ends at a critical point beyond…

Superconductivity · Physics 2007-05-23 Denis Feinberg

We present evidence from computer simulations for glassy dynamics in suspensions of monodisperse hard ellipsoids. In equilibrium, almost spherical ellipsoids show a first order transition from an isotropic phase to a rotator phase. When…

Soft Condensed Matter · Physics 2008-09-18 Patrick Pfleiderer , Kristina Milinkovic , Tanja Schilling

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

Disordered Systems and Neural Networks · Physics 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

Soft Condensed Matter · Physics 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

We analyze the phase diagram of a model of hard spheres of chemical radius one, which is defined over a generalized Bethe lattice containing short loops. We find a liquid, two different crystalline, a glassy and an unusual crystalline…

Statistical Mechanics · Physics 2009-11-11 Hendrik Hansen-Goos , Martin Weigt

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

Statistical Mechanics · Physics 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

We investigate structural and dynamical properties of moderately polydisperse emulsions across an extended range of droplet volume fractions phgr, encompassing fluid and glassy states up to jamming. Combining experiments and simulations, we…

Soft Condensed Matter · Physics 2017-10-09 Chi Zhang , Nicoletta Gnan , Thomas G. Mason , Emanuela Zaccarelli , Frank Scheffold

We demonstrate how the matrix-valued mode-coupling theory of the glass transition and glassy dynamics in planar confinement converges to the corresponding theory for two-dimensional (2D) planar and the three-dimensional bulk liquid,…

Soft Condensed Matter · Physics 2015-01-12 Simon Lang , Rolf Schilling , Thomas Franosch

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

We present here new evidence that after a quench the planar Potts model on the square lattice relaxes towards a glassy state if the number of states q is larger than four. By extrapolating the finite size data we compute the average energy…

Statistical Mechanics · Physics 2007-05-23 Mario J. de Oliveira , Alberto Petri , Tania Tome

We explore the glassy dynamics of soft colloids using microgels and charged particles interacting by steric and screened Coulomb interactions, respectively. In the supercooled regime, the structural relaxation time $\tau_\alpha$ of both…

We study the phase ordering dynamics of a two dimensional model colloidal solid using molecular dynamics simulations. The colloid particles interact with each other with a Hamaker potential modified by the presence of equatorial "patches"…

Disordered Systems and Neural Networks · Physics 2014-12-30 Chandana Mondal , Smarajit Karmakar , Surajit Sengupta

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for…

Statistical Mechanics · Physics 2009-11-13 A. G. Cunha-Netto , Ronald Dickman , A. A. Caparica

We study orientational ordering of $2$-dimensional closely packed Janus particles by extensive Monte Carlo simulations. For smaller patch sizes the system remains in the plastic crystal phase where the rotational degrees of freedom are…

Soft Condensed Matter · Physics 2018-07-13 Kota Mitsumoto , Hajime Yoshino

We introduce a new model of hard spheres under confinement for the study of the glass and jamming transitions. The model is an one-dimensional chain of the $d$-dimensional boxes each of which contains the same number of hard spheres, and…

Soft Condensed Matter · Physics 2015-10-21 Harukuni Ikeda , Atsushi Ikeda

Glassy polymers show strain hardening: at constant extensional load, their flow first accelerates, then arrests. Recent experiments under such loading have found this to be accompanied by a striking dip in the segmental relaxation time.…

Soft Condensed Matter · Physics 2015-06-11 S. M. Fielding , R. L. Moorcroft , R. G. Larson , M. E. Cates

We investigate the non-equilibrium relaxation dynamics of a one dimensional system of interacting spinless fermions near the XXZ integrable point. We observe two qualitatively different regimes: close to integrability and for low energies…

Quantum Gases · Physics 2015-03-10 Nicolas Nessi , Aníbal Iucci