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Related papers: Quasi-One Dimensional Models for Glassy Dynamics

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We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

Statistical Mechanics · Physics 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera

This lecture deals with glassy dynamics and aging in disordered systems. Special emphasis is put on dynamic mean field theory. In the first part I present some of the systems of interest, in particular spin-glasses, supercooled liquids and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Heinz Horner

Relaxational processes in ordered phases of one-dimensional Ising models with long-range interactions are investigated by Monte Carlo simulations. Three types of spin model, the pure ferromagnetic, the diluted ferromagnetic, and the spin…

Statistical Mechanics · Physics 2017-01-04 Yusuke Tomita

We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These facilitated models are supposed to catch some of the main…

Statistical Mechanics · Physics 2015-06-22 Paul Chleboun , Alessandra Faggionato , Fabio Martinelli

In this paper, we consider the quasi-gas-dynamic (QGD) model in a multiscale environment. The model equations can be regarded as a hyperbolic regularization and are derived from kinetic equations. So far, the research on QGD models has been…

Numerical Analysis · Mathematics 2021-06-30 Boris Chetverushkin , Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally…

Soft Condensed Matter · Physics 2008-05-09 Carolina Brito , Matthieu Wyart

We study domain growth properties of two species of particles executing biased diffusion on a half-filled square lattice, consisting of just two lanes. Driven in opposite directions by an external ``electric'' field, the particles form…

Statistical Mechanics · Physics 2009-11-07 J. T. Mettetal , B. Schmittmann , R. K. P. Zia

The present study introduces a renormalization based approach to investigate the relaxation dynamics within supercooled liquids. By applying a numerical scale transformation to potential energies along the temporal axis, we have established…

Soft Condensed Matter · Physics 2025-04-01 B. Zhang , D. M. Zhang , D. Y. Sun , X. G. Gong

The dynamics of strongly interacting many-body quantum systems are notoriously complex and difficult to simulate. A new theory, generalized hydrodynamics (GHD), promises to efficiently accomplish such simulations for nearly-integrable…

Quantum Gases · Physics 2021-09-09 Neel Malvania , Yicheng Zhang , Yuan Le , Jerome Dubail , Marcos Rigol , David S. Weiss

We demonstrate the densification of a granular model system of polystyrene spheres over time by shaking with varying excitation amplitudes or effective temperatures. This densification is quantified by the mean square displacement (MSD),…

Soft Condensed Matter · Physics 2025-08-05 Marlo Kunzner , Christopher Mayo , Matthias Sperl , Jan Philipp Gabriel

As shown by early studies on mean-field models of the glass transition, the geometrical features of the energy landscape provide fundamental information on the dynamical transition at the Mode-Coupling temperature $T_d$. We show that active…

Statistical Mechanics · Physics 2021-11-10 Giacomo Gradenigo , Matteo Paoluzzi

Quasicondensation in one dimension is known to occur for equilibrium systems of hard-core bosons (HCBs) at zero temperature. This phenomenon arises due to the off-diagonal long-range order in the ground state, characterized by a power-law…

Statistical Mechanics · Physics 2024-12-16 A. Takács , S. Scopa , P. Calabrese , L. Vidmar , J. Dubail

We endow a system of interacting particles with two distinct, local, Markovian and reversible microscopic dynamics. Using common field-theoretic techniques used to investigate the presence of a glass transition, we find that while the…

Statistical Mechanics · Physics 2015-03-05 Hugo Jacquin , Bongsoo Kim , Kyozi Kawasaki , Frédéric Van Wijland

Within the mode-coupling theory for ideal glass-transitions, the mean-squared displacement and the correlation function for density fluctuations are evaluated for a colloidal liquid of particles interacting with a square-well potential for…

Soft Condensed Matter · Physics 2007-05-23 M. Sperl

By characterizing the dynamics of idealized lattice models with a tunable kinetic constraint, we explore the different ways in which dynamical facilitation manifests itself within the local dynamics of glassy materials. Dynamical…

Statistical Mechanics · Physics 2012-06-25 Yael S. Elmatad , Aaron S. Keys

We investigate a quasi-one-dimensional (Q1D) system of hard spheres confined within a cylindrical pore so narrow that only nearest-neighbor interactions occur. By mapping this Q1D system onto a one-dimensional polydisperse mixture of…

Soft Condensed Matter · Physics 2025-07-14 Ana M. Montero , Andrés Santos

The dynamics of a one-dimensional two-component Fermi gas in the presence of a quasi-periodic optical lattice (OL) is investigated by means of a Density Functional Theory approach. Inspired by the protocol implemented in recent cold-atom…

Quantum Gases · Physics 2018-04-11 Francesco Ancilotto , Davide Rossini , Sebastiano Pilati