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This article investigates the properties of a few interacting particles trapped in a few wells and how these properties change under adiabatic tuning of interaction strength and inter-well tunneling. While some system properties are…

Quantum Physics · Physics 2017-05-18 N. L. Harshman

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

We report a molecular dynamics simulation of a supercooled simple monatomic glass-forming liquid. It is found that the onset of the supercooled regime results in formation of distinct domains of slow diffusion which are confined to the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mikhail Dzugutov , Sergei I. Simdyankin , Fredrik H. M. Zetterling

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

We use the ``isoconfigurational ensemble'' [Phys. Rev. Lett. {\bf 93}, 135701 (2004)] to analyze both dynamical and structural properties in simulations of a glass forming molecular liquid. We show that spatially correlated clusters of low…

Materials Science · Physics 2009-11-11 Gurpreet S. Matharoo , M. S. Gulam Razul , Peter H. Poole

Granular simulations are used to probe the particle scale dynamics at short, intermediate, and long time scales for gravity driven, dense granular flows down an inclined plane. On approach to the angle of repose, where motion ceases, the…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack

An analytically tractable model is introduced which exhibits both, a glass--like freezing transition, and a collection of double--well configurations in its zero--temperature potential energy landscape. The latter are generally believed to…

Condensed Matter · Physics 2009-10-28 Reimer Kuehn

The formal structure of glass singularities in the mode-coupling theory (MCT) of supercooled liquids dynamics is closely related to that appearing in the analysis of heterogeneous bootstrap percolation on Bethe lattices, random graphs and…

Statistical Mechanics · Physics 2015-03-20 Mauro Sellitto

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical…

Statistical Mechanics · Physics 2010-10-14 Yael S. Elmatad , Robert L. Jack , Juan P. Garrahan , David Chandler

We investigate the temperature-disorder (T-S) phase diagram of a three-dimensional gauge glass model, which is a cubic-lattice nearest-neighbor XY model with quenched random phase shifts A_xy at the bonds, by numerical Monte Carlo…

Disordered Systems and Neural Networks · Physics 2013-05-29 Vincenzo Alba , Ettore Vicari

We consider limits of equilibrium distributions as temperature approaches zero, for systems of infinitely many particles, and characterize the support of the limiting distributions. Such results are known for particles with positions on a…

Mathematical Physics · Physics 2015-05-13 Jean Bellissard , Charles Radin , Senya Shlosman

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

We study the existence of one-dimensional localized states supported by linear periodic potentials and a domain-wall-like Kerr nonlinearity. The model gives rise to several new types of asymmetric localized states, including single- and…

Pattern Formation and Solitons · Physics 2019-09-24 Jincheng Shi , Jianhua Zeng

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio

We develop a microscopic approach to the consistent construction of the kinetic theory of dilute weakly ionized gases of hydrogen-like atoms. The approach is based on the framework of the second quantization method in the presence of bound…

Statistical Mechanics · Physics 2016-12-08 Yu. V. Slyusarenko , O. Yu. Sliusarenko

Several puzzling regularities concerning the low temperature excitations of glasses are quantitatively explained by quantizing domain wall motions of the random first order glass transition theory. The density of excitations agrees with…

Disordered Systems and Neural Networks · Physics 2009-11-07 Vassiliy Lubchenko , Peter G. Wolynes

Large collections of coupled, heterogeneous agents can manifest complex dynamical behavior presenting difficulties for simulation and analysis. However, if the collective dynamics lie on a low-dimensional manifold then the original…

Adaptation and Self-Organizing Systems · Physics 2021-08-11 Thomas N. Thiem , Felix P. Kemeth , Tom Bertalan , Carlo R. Laing , Ioannis G. Kevrekidis
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