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Related papers: Ideal glass transition in a simple 2D lattice mode…

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A certain two-dimensional lattice model with nearest and next-nearest neighbor interactions is known to have a limit-periodic ground state. We show that during a slow quench from the high temperature, disordered phase, the ground state…

Statistical Mechanics · Physics 2012-01-30 Travis W. Byington , Joshua E. S. Socolar

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin

We numerically study the zero-temperature relaxation dynamics of several glass-forming models to their inherent structures, following quenches from equilibrium configurations sampled across a wide range of initial temperatures. In a…

Statistical Mechanics · Physics 2022-04-07 Yoshihiko Nishikawa , Misaki Ozawa , Atsushi Ikeda , Pinaki Chaudhuri , Ludovic Berthier

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

A liquid can form under cooling a glassy state either as a result of a continuous slowing down or by a first order polyamorphous phase transition. The second scenario has so far always been observed below the melting point where it…

Soft Condensed Matter · Physics 2010-04-16 Måns Elenius , Tomas Oppelstrup , Mikhail Dzugutov

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

We present a modified version of our "sliding model", where chain arcs, between two contacts at the surface, may move if all the barriers along the arc are weaker than a certain threshold.An important advance of the revised model is that…

Soft Condensed Matter · Physics 2007-05-23 Pierre-Gilles de Gennes

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for…

Soft Condensed Matter · Physics 2008-02-03 Kisor Mukhopadhyay , Abhijit Pal , Soumen Kumar Roy

The dramatic slowing down associated with the glass transition cannot be fully understood without an associated static length that is expected to increase rapidly as the temperature is reduced. The search for such a length was long and…

Statistical Mechanics · Physics 2011-05-23 Smarajit Karmakar , Itamar Procaccia

Orientational dynamics in a liquid crystalline system near the isotropic-nematic (I-N) phase transition is studied using Molecular Dynamics simulations of the well-known Lebwohl-Lasher (LL) model. As the I-N transition temperature is…

Soft Condensed Matter · Physics 2009-11-11 Suman Chakrabarty , Dwaipayan Chakrabarti , Biman Bagchi

We develop a replicated liquid theory for structural glasses which exhibit spatial variation of physical quantities along one axis, say $z$-axis. The theory becomes exact with infinite transverse dimension $d-1 \to \infty$. It provides an…

Soft Condensed Matter · Physics 2025-11-14 Yukihiro Tomita , Hajime Yoshino

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

The deconfinement transition in SU(4) lattice gauge theory is investigated on N_s^3 X N_t lattices for N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to be free of any bulk transitions. The susceptibility…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

Quantum Gases · Physics 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev

Lattice molecule models are proposed in order to study statistical mechanics of glass transition in finite dimensions. Molecules in the models are represented by hard Wang tiles and their density is controlled by a chemical potential. An…

Statistical Mechanics · Physics 2015-05-28 Shin-ichi Sasa

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

Using two extremely different models of glass formers in two and three dimensions we demonstrate how to encode the subtle changes in the geometric rearrangement of particles during the scenario of the glass transition. We construct a…

Statistical Mechanics · Physics 2015-05-13 Laurent Boue , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Rapid cooling of liquids below a certain temperature range can result in a transition to glassy states. The traditional understanding of glasses includes their thermodynamic metastability with respect to crystals. However, here we present…

Statistical Mechanics · Physics 2016-12-12 G. Zhang , F. H. Stillinger , S. Torquato

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell…

Soft Condensed Matter · Physics 2024-01-25 Meng-Yuan Li , Yan-Wei Li

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras