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We present a simple lattice model showing a glassy behavior. $R$ matrix analysis predicts critical termination of the super-cooled fluid branch at density $\rho_g=0.1717$. This prediction is confirmed by dynamical numerical simulations,…

统计力学 · 物理学 2010-08-26 Z. Rotman , E. Eisenberg

An analytical approach, which develops the gauge model of the glass transition phenomenon, is suggested. It is based on the quantum field theory and critical dynamics methods. The suggested mechanism of glass transition is based on the…

统计力学 · 物理学 2011-05-12 Mikhail Vasin

We present a first step toward a microscopic theory for the glass transition in systems with trivial static correlations. As an example we have chosen N infinitely thin hard rods with length L, fixed with their centers on a periodic lattice…

软凝聚态物质 · 物理学 2009-11-07 Rolf Schilling , Grzegorz Szamel

We study the effect of a gradient of solvent quality on the coil-globule transition for a polymer in a narrow pore. A simple self-attracting self-avoiding walk model of a polymer in solution shows that the variation in the strength of…

软凝聚态物质 · 物理学 2015-06-17 S Nath , D P Foster , D Giri , S Kumar

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While traditional entropic network models can be fit to the total stress, their underlying assumptions are inconsistent with simulation results.…

材料科学 · 物理学 2009-11-13 Robert S. Hoy , Mark O. Robbins

Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

统计力学 · 物理学 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

The instant crystallization of semi-crystalline polymers have become possible following the recent advances in Fast Scanning Calorimetry (FSC) and enables to make a bridge between the time scale available experimentally with those…

软凝聚态物质 · 物理学 2024-10-25 Maziar Heidari , Matthieu Labousse , Ludwik Leibler

A multi-resolution bead-spring model for polymer dynamics is developed as a generalization of the Rouse model. A polymer chain is described using beads of variable sizes connected by springs with variable spring constants. A numerical…

生物物理 · 物理学 2016-07-28 Edward Rolls , Yuichi Togashi , Radek Erban

The most puzzling aspect of the glass transition observed in laboratory is an apparent decoupling of dynamics from structure. In this paper we recount the implication of various theories of glass transition for the static correlation length…

无序系统与神经网络 · 物理学 2017-02-08 S. Davatolhagh

The existence of a static lengthscale that grows in accordance with the dramatic slowing down observed at the glass transition is a subject of intense interest. A recent publication compared two proposals for this length scale, one based on…

统计力学 · 物理学 2017-06-27 Ricardo Gutiérrez , Smarajit Karmakar , Yoav G. Pollack , Itamar Procaccia

Following the Flory ideality hypothesis intrachain and interchain excluded volume interactions are supposed to compensate each other in dense polymer systems. Multi-chain effects should thus be neglected and polymer conformations may be…

软凝聚态物质 · 物理学 2009-11-13 H. Meyer , J. P. Wittmer , T. Kreer , P. Beckrich , A. Johner , J. Farago , J. Baschnagel

We compare a recent excitation chain argument for the glass transition with the earlier random first order transition theory. The key equation determining the activation barriers and size of cooperatively rearranging regions has the same…

软凝聚态物质 · 物理学 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

统计力学 · 物理学 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia

We introduce a new model of random layered media, extending the Matheron-de Marsily model: Here we allow for the flows to change in time. For such layered structures, we solve exactly the equations of motion for single particles, and also…

统计力学 · 物理学 2009-10-31 S. Jespersen , G. Oshanin , A. Blumen

We derive an extension of the mode coupling theory for the liquid-glass transition to a class of models of confined fluids, where the fluid particles evolve in a disordered array of interaction sites. We find that the corresponding…

无序系统与神经网络 · 物理学 2007-05-23 V. Krakoviack

We study the out-of-equilibrium large time dynamics of a gaussian polymer chain in a quenched random potential. The dynamics studied is a simple Langevin dynamics commonly referred to as the Rouse model. The equations for the two-time…

无序系统与神经网络 · 物理学 2009-11-11 Yadin Y. Goldschmidt

The local glass transition temperature Tg of pyrene-labeled polystyrene (PS) chains intermixed with end-tethered PS chains grafted to a neutral silica substrate was measured by fluorescence spectroscopy. To isolate the impact of the grafted…

软凝聚态物质 · 物理学 2023-02-15 James H. Merrill , Ruoyu Li , Connie B. Roth

We perform molecular dynamics simulations under uniaxial tension to investigate the micromechanisms underlying strain hardening in glassy polymers. By decomposing the stress into virial components associated with pair, bond, and angle…

软凝聚态物质 · 物理学 2024-11-13 Wuyang Zhao

We briefly review the basics ideas and results of a recently proposed statistical mechanical approach to granular materials. Using lattice models from standard Statistical Mechanics and results from a mean field replica approach and Monte…

凝聚态物理 · 物理学 2009-10-31 Antonio Coniglio , Mario Nicodemi

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…

统计力学 · 物理学 2015-05-28 Shin-ichi Sasa