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Typical properties of glassy materials are shown to be captured by a mean-field free-volume theory. Relaxation processes are supposed to be free-volume activated, and different entropy barriers are associated with density relaxation and…

Condensed Matter · Physics 2016-08-16 Anaël Lemaître

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While stress-strain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models, many other…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

Statistical Mechanics · Physics 2015-08-10 Lina Gu , Jiulin Du

We go over our finding that the dynamics at the noise-perturbed edge of chaos in logistic maps is comparable to that observed in supercooled liquids close to vitrification. That is, the three major features of glassy dynamics in structural…

Statistical Mechanics · Physics 2013-08-29 A. Robledo

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

The configurational entropy is among the key observables to characterize experimentally the formation of a glass. Physically, it quantifies the multiplicity of metastable states in which an amorphous material can be found at a given…

Statistical Mechanics · Physics 2014-08-21 Ludovic Berthier , Daniele Coslovich

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…

Statistical Mechanics · Physics 2017-06-27 Ricardo Gutiérrez , Smarajit Karmakar , Yoav G. Pollack , Itamar Procaccia

Complex systems having metastable elements often demonstrate nearly log-time relaxations and a kind of aging: repeated stimuli weaken the system's relaxational response. Granular matter is known to exhibit a wealth of such behaviors, for…

Soft Condensed Matter · Physics 2014-06-16 V. Y. Zaitsev , V. E. Gusev , V. Tournat , P. Richard

Published dielectric relaxation measurements on polypropylene glycol and 1,4-polyisoprene are analyzed to determine the relative effect that thermal energy and volume have on the temperature dependence of the normal mode relaxation times,…

Soft Condensed Matter · Physics 2015-06-24 C. M. Roland , R. Casalini , M. Paluch

Analytical relations for the glass transition temperature, $T_g$, and the crystal melting temperature, $T_m$, are developed on the basis of nonaffine lattice dynamics. The proposed relations explain: (i) the seemingly universal factor of…

Soft Condensed Matter · Physics 2025-03-18 Alessio Zaccone , Konrad Samwer

The recently-developed non-equilibrium extension of the self-consistent generalized Langevin equation theory of irreversible relaxation [Phys. Rev. E (2010) 82, 061503; ibid. 061504] is applied to the description of the irreversible process…

Soft Condensed Matter · Physics 2013-05-29 Luis Enrique Sanchez-Diaz , Pedro Ramirez-Gonzalez , Magdaleno Medina-Noyola

When a liquid is cooled below its melting temperature it usually crystallizes. However, if the quenching rate is fast enough, it is possible that the system remains in a disordered state, progressively losing its fluidity upon further…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tullio Scopigno , Giancarlo Ruocco , Francesco Sette , Giulio Monaco

We investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan , Luca Peliti , Mauro Sellitto

Using very long molecular dynamics simulation runs, temperature protocols spanning up to five orders of magnitude in time-scales are performed to investigate thermally activated structural relaxation in a model amorphous solid. The…

Materials Science · Physics 2017-10-11 P. M. Derlet , R. Maass

The coefficient of static friction between solids generally depends on the time they have remained in static contact before the measurement. Such frictional aging is at the origin of the difference between static and dynamic friction…

Soft Condensed Matter · Physics 2023-07-12 Kasra Farain , Daniel Bonn

Gibbs' thermodynamic entropy is given by the logarithm of the phase volume, which itself responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic dissipation described by phase-volume loss with heat-transfer…

Statistical Mechanics · Physics 2016-06-22 Puneet Kumar Patra , William Graham Hoover , Carol Griswold Hoover , Julien Clinton Sprott

An analysis of glass formation for polymer melts that are diluted by structured molecular additives is derived by using the generalized entropy theory, which involves a combination of the Adam-Gibbs model and the direct computation of the…

Soft Condensed Matter · Physics 2015-05-18 Evgeny B. Stukalin , Jack F. Douglas , Karl F. Freed

We numerically analyze the statistics of the heat flow between an aging system and its thermal bath, following a method proposed and tested for a spin-glass model in a recent Letter (P. Sibani and H.J. Jensen, Europhys. Lett.69, 563…

Statistical Mechanics · Physics 2009-11-11 Paolo Sibani

The dynamics of iterates at the transition to chaos in one-dimensional unimodal maps is shown to exhibit the characteristic elements of the glass transition, e.g. two-step relaxation and aging. The properties of the bifurcation gap induced…

Statistical Mechanics · Physics 2013-08-29 A. Robledo

Many mean-field models have been introduced to describe the mechanical behavior of glassy materials. They often rely on averages performed over distributions of elements or states. We here underline that averaging is a more intricate…

Soft Condensed Matter · Physics 2016-08-31 Francois Lequeux , Armand Ajdari