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Multidimensional potential energy landscapes (PELs) have a Gaussian distribution for the energies of the minima, but at the same time the distribution of the hyperareas for the basins of attraction surrounding the minima follows a…

Statistical Mechanics · Physics 2007-06-22 Claire P. Massen , Jonathan P. K. Doye , Rupert W. Nash

Identifying heterogeneous structures in glasses --- such as localized soft spots --- and understanding structure-dynamics relations in these systems remain major scientific challenges. Here we derive an exact expression for the local…

Soft Condensed Matter · Physics 2017-08-16 Jacques Zylberg , Edan Lerner , Yohai Bar-Sinai , Eran Bouchbinder

In active microrheology the mechanical properties of a material are tested by adding probe particles which are pulled by an external force. In case of supercooled liquids, strong forcing leads to a thinning of the host material which…

Soft Condensed Matter · Physics 2016-01-20 Carsten F. E. Schroer , Andreas Heuer

We show that the density and temperature dependences of the $\alpha$-relaxation time of several glassforming polymers can be described through a single scaling variable $X=e(\rho)/T$, where $e(\rho)$ is well fitted by a power law $\rho^x$,…

Soft Condensed Matter · Physics 2009-11-10 C. Alba-Simionesco , A. Cailliaux , A. Alegria , G. Tarjus

In this paper we expose the results of our recent work on the dynamical TAP approach to mean field glassy systems. Our aim is to clarify the connection between free energy landscape and out of equilibrium dynamics in solvable models.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giulio Biroli

An analytical model of non-Gaussian energy landscape of low-temperature fluids is developed based on the thermodynamics of the fluid of dipolar hard spheres. The entire excitation profile of the liquid, from the high temperatures to the…

Soft Condensed Matter · Physics 2009-11-13 Dmitry V. Matyushov

We study thermally activated, low temperature equilibrium dynamics of elastic systems pinned by disorder using one loop functional renormalization group (FRG). Through a series of increasingly complete approximations, we investigate how the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leon Balents , Pierre Le Doussal

We calculate the statistical properties of the energy landscape of a minimal model for strong network-forming liquids. Dynamics and thermodynamic properties of this model can be computed with arbitrary precision even at low temperatures. A…

Statistical Mechanics · Physics 2016-08-31 A. J. Moreno , S. V. Buldyrev , E. La Nave , I. Saika-Voivod , F. Sciortino , P. Tartaglia , E. Zaccarelli

We describe a model for the thermodynamics and dynamics of glass-forming liquids in terms of excitations from an ideal glass state to a Gaussian manifold of configurationally excited states. The quantitative fit of this three parameter…

Soft Condensed Matter · Physics 2015-06-25 Dmitry V. Matyushov , C. A. Angell

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

We propose a way to analyze the landscape geometry explored by a glassy system after a quench solely based on time series of energy values recorded during a simulation. Entry and exit times for landscape `valleys' are defined operationally…

Statistical Mechanics · Physics 2007-05-23 Paolo Sibani , Jesper Dall

We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ivan Junier

We present a simple mathematical model of glassy dynamics seen as a random walk in a directed, weighted network of minima taken as a representation of the energy landscape. Our approach gives a broader perspective to previous studies…

Statistical Mechanics · Physics 2009-08-25 Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

We analyze here the energy states and associated wave functions available to a particle acted upon by a delta function potential of arbitrary strength and sign and fixed anywhere within a one-dimensional infinite well. We consider how the…

Quantum Physics · Physics 2010-08-03 T. B. Smith , D. A. Dubin , M. A. Hennings

We study a microscopically realistic model of a physical gel and use computer simulations to investigate its static and dynamic properties at thermal equilibrium. The phase diagram comprises a sol phase, a coexistence region ending at a…

Soft Condensed Matter · Physics 2009-11-13 Pablo I. Hurtado , Pinaki Chaudhuri , Ludovic Berthier , Walter Kob

We analyse the relationship between dynamics and configuration space structure of Ising spin glass systems. The exact knowledge of the structure of the low--energy landscape is used to study the relaxation of the system by random walk in…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Kobe , J. Krawczyk

We study glassy dynamics using a simulation of three soft Brownian particles confined to a two-dimensional circular region. If the circular region is large, the disks freely rearrange, but rearrangements are rarer for smaller system sizes.…

Soft Condensed Matter · Physics 2016-07-06 Xin Du , Eric R. Weeks

We propose a microscopic model without energy barriers in order to explain some generic features observed in structural glasses. The statics can be exactly solved while the dynamics has been clarified using Monte Carlo calculations.…

Condensed Matter · Physics 2009-10-28 Felix Ritort

The concept of fragility provides a possibility to rank different supercooled liquids on the basis of the temperature dependence of dynamic and/or thermodynamic quantities. We recall here the definitions of kinetic and thermodynamic…

Statistical Mechanics · Physics 2009-11-10 G. Ruocco , F. Sciortino , F. Zamponi , C. De Michele , T. Scopigno

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