English
Related papers

Related papers: Ergodicity in glass relaxation

200 papers

Key to resolving the scientific challenge of the glass transition is to understand the origin of the massive increase in viscosity of liquids cooled below their melting temperature (avoiding crystallisation). A number of competing and often…

Soft Condensed Matter · Physics 2018-09-12 C. Patrick Royall , Francesco Turci , Soichi Tatsumi , John Russo , Joshua Robinson

The issue of relaxation has been addressed in terms of ergodic theory in the past. However, the application of that theory to models of physical interest is problematic, especially when dealing with relaxation to nonequilibrium steady…

Statistical Mechanics · Physics 2018-12-18 Denis J. Evans , Stephen R. Williams , Debra J. Searles , Lamberto Rondoni

Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the…

Statistical Mechanics · Physics 2015-06-04 Smarajit Karmakar , Itamar Procaccia

We clarify the relation between the ergodicity breaking transition predicted by mode-coupling theory and the so-called dynamic transition predicted by the static replica approach. Following Franz and Parisi [Phys. Rev. Lett. 79, 2486…

Statistical Mechanics · Physics 2015-05-18 Grzegorz Szamel

A model is derived for the viscoelastic response of glasses at isothermal uniaxial deformation with small strains. A glass is treated as an ensemble of relaxing units with various activation energies for rearrangement. With reference to the…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

Among the outstanding problems in the theory of supercooled liquids are the reasons for the rapid increase in their viscosity and relaxation times as the temperature is lowered towards the glass transition temperature, the non-exponential…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Halpern

Slow relaxation and aging of the conductance are experimental features of a range of materials, which are collectively known as electron glasses. We report dynamic Monte Carlo simulations of the standard electron glass lattice model. In a…

Disordered Systems and Neural Networks · Physics 2012-12-03 J. Bergli , Y. M. Galperin

We consider a gauge theory of the glass transition in the frustrated XY model being simplest model containing topologically nontrivial excitations. We describe the transition kinetics and find that the three-dimensional system exhibits the…

Statistical Mechanics · Physics 2019-06-26 Mikhail Vasin

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

Relaxation times for different temperatures, T, and specific volumes, V, collapse to a master curve versus TV^g, with g a material constant. The isochoric fragility, m_V, is also a material constant, inversely correlated with g. From these…

Soft Condensed Matter · Physics 2007-05-23 R. Casalini , S. Capaccioli , C. M. Roland

An equation is derived that expresses the thermodynamic scaling exponent, g, which superposes relaxation times and other measures of molecular mobility determined over a range of temperatures and densities, in terms of static, physical…

Soft Condensed Matter · Physics 2015-06-19 R. Casalini , C. M. Roland

A simple model featuring a double well potential is used to represent a liquid that is quenched from an ergodic state into a history dependent glassy state. Issues surrounding the application of the Jarzynski Equality to glass formation are…

Statistical Mechanics · Physics 2012-09-11 Stephen R. Williams , Debra J. Searles , Denis J. Evans

We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

Statistical Mechanics · Physics 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

The polymer relaxation dynamic of a sample, stretched up to the stress hardening regime, is measured, at room temperature, as a function of the strain $\lambda$ for a wide range of the strain rate $\dot\gamma$, by an original dielectric…

Soft Condensed Matter · Physics 2020-03-11 R. Sahli , J. Hem , C. Crauste-Thibierge , F. Clément , D Long , S. Ciliberto

We investigate how structural relaxation in mixtures with strong dynamical asymmetry is affected by the microscopic dynamics. Brownian and Newtonian dynamics simulations of dense mixtures of fast and slow hard spheres reveal a striking…

Soft Condensed Matter · Physics 2017-10-02 Suvendu Mandal , Thomas Franosch , Thomas Voigtmann

Many properties of solids such as the glass state are commonly treated as nonequilibrium phenomena, which involve many conceptual difficulties. However, few studies have addressed the problem of understanding equilibrium itself. Equilibrium…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

We propose that the super-Arrhenius relaxation rates observed in glassy materials are determined by thermally nucleated rearrangements of increasing numbers of molecules at decreasing temperatures. In our model of this mechanism,…

Materials Science · Physics 2016-08-16 J. S. Langer , Anaël Lemaître

At temperatures well below their glass transition, the deformation properties of bulk metallic glasses are characterised by a sharp transition from elasticity to plasticity, a reproducible yield stress, and an approximately linear decrease…

Soft Condensed Matter · Physics 2013-11-18 P. M. Derlet , R. Maaß

It has been recently shown that one can understand the Prigogine-Defay ratio at the glass transition in terms of freezing into one of the many inherent states of the undercooled liquid. In the present paper, the treatment is extended to the…

Disordered Systems and Neural Networks · Physics 2016-03-21 U. Buchenau