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We present a first principle scheme to compute the rigidity, i. e. the shear-modulus of structural glasses at finite temperatures using the cloned liquid theory, which combines the replica theory and the liquid theory. With the aid of the…

Soft Condensed Matter · Physics 2012-06-08 Hajime Yoshino

We introduce a set of theoretical ideas that form the basis for an analytical framework capable of describing nonequilibrium dynamics in glassy systems. We test the resulting scenario by comparing its predictions with numerical simulations…

Statistical Mechanics · Physics 2009-11-07 Horacio E. Castillo , Claudio Chamon , Leticia F. Cugliandolo , Malcolm P. Kennett

The dynamic behaviour of glassy materials displays strong nonequilibrium effects, such as ageing in simple protocols, memory, rejuvenation and Kovacs effects in more elaborated experiments. We show that this phenomenology may be easily…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Peter C. W. Holdsworth

Pattern formation induced by wrinkling is a very common phenomenon exhibited in soft-matter substrates. In all these systems wrinkles develop in presence of compressively stressed thin films lying on compliant substrates. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-03-26 Maria Caterina Giordano , Francesco Buatier de Mongeot

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

Complex free-energy landscapes with many local minima separated by large barriers are believed to underlie glassy behavior across diverse physical systems. This is the heuristic picture associated with replica symmetry breaking (RSB) in…

Statistical Mechanics · Physics 2025-07-18 Benedikt Placke , Grace M. Sommers , Nikolas P. Breuckmann , Tibor Rakovszky , Vedika Khemani

We propose a model for the abrupt emergence, below temperatures close to the glass transition, of the ultra-fast (GC) steady mode of spherulitic crystal growth in deeply undercooled liquids. We interpret this phenomenon as controlled by the…

Materials Science · Physics 2015-06-05 Christiane Caroli , Anaël Lemaître

We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to the shared features of structural disorder and metastability. A generic model for the mesoscopic dynamics of ``soft glassy matter'' is…

Soft Condensed Matter · Physics 2009-10-28 Peter Sollich , Francois Lequeux , Pascal Hebraud , Michael E Cates

Spin glasses are quintessential examples of complex matter. Although much about their order remains uncertain, abstract models of them inform, e.g., the classification of combinatorial optimization problems, the magnetic ordering in metals…

We investigate the supercooling of a nematic liquid crystal using fluctuating non-linear hydrodynamic equations. The Martin-Siggia-Rose formalism is used to calculate renormalized transport coefficients to one-loop order. Similar theories…

Condensed Matter · Physics 2009-10-22 P. De , Robert Pelcovits , E. Vogel , J. Vogel

The remarkable strength of glasses is examined using the random first order transition theory of the glass transition. The theory predicts that strength depends on elastic modulus but also on the configurational energy frozen in when the…

Disordered Systems and Neural Networks · Physics 2015-06-05 Apiwat Wisitsorasak , Peter G. Wolynes

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

Soft Condensed Matter · Physics 2009-10-31 Mehran Kardar

According to the droplet picture of spin glasses, the low-temperature phase of spin glasses should be replica symmetric. However, analysis of the stability of this state suggested that it was unstable and this instability lends support to…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. A. Moore

Glasses acquire their solid-like properties by cooling from the supercooled liquid via a continuous transition known as the glass transition. Recent research on soft glasses indicates that besides temperature, another route to liquify…

Soft Condensed Matter · Physics 2015-07-17 D. V. Denisov , M. T. Dang , B. Struth , A. Zaccone , G. H. Wegdam , P. Schall

In a preceding paper, Mukhopadhyay and I studied the diffusive motion of a tagged molecule in a heterogeneous glass-forming liquid at temperatures just above a glass transition. Among other features of this system, we postulated a relation…

Statistical Mechanics · Physics 2009-11-13 J. S. Langer

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

Extensive computer simulations are performed for a few model glass-forming liquids in both two and three dimensions to study their dynamics when a randomly chosen fraction of particles are frozen in their equilibrium positions. For all the…

Statistical Mechanics · Physics 2016-08-03 Saurish Chakrabarty , Rajsekhar Das , Smarajit Karmakar , Chandan Dasgupta

We derive a phase diagram for amorphous solids and liquid supercooled water and explain why the amorphous solids of water exist in several different forms. Application of large-deviation theory allows us to prepare such phases in computer…

Statistical Mechanics · Physics 2015-06-16 David T Limmer , David Chandler

Amorphous solids display a ductile to brittle transition as the kinetic stability of the quiescent glass is increased, which leads to a material failure controlled by the sudden emergence of a macroscopic shear band in quasi-static…

Statistical Mechanics · Physics 2020-02-25 Murari Singh , Misaki Ozawa , Ludovic Berthier

Super-cooled liquids are characterized by their fragility: the slowing down of the dynamics under cooling is more sudden and the jump of specific heat at the glass transition is generally larger in fragile liquids than in strong ones.…

Disordered Systems and Neural Networks · Physics 2014-01-14 Le Yan , Gustavo Düring , Matthieu Wyart