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We investigate the non-equilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system…

Statistical Mechanics · Physics 2015-03-10 Ignacio Salazar Landea , Nicolas Nessi

We present a computer simulation study of a disordered two-dimensional system of localized interacting electrons at thermal equilibrium. It is shown that the configuration of occupied sites within the Coulomb gap persistently changes at…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Menashe , O. Biham , B. D. Laikhtman , A. L. Efros

We propose a new scenario for glassy dynamics in frustrated systems with no quenched-in randomness, based on jamming of extended dynamical structures near a critical point. This route to a glassy state is demonstrated in a lattice model of…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

The quantum excitations in glasses have long presented a set of puzzles for condensed matter physicists. A common view is that they are largely disordered analogs of elementary excitations in crystals, supplemented by two level systems…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vassiliy Lubchenko , Peter G. Wolynes

We consider the effect of droplet excitations in the random first order transition theory of glasses on the configurational entropy. The contribution of these excitations is estimated both at and above the ideal glass transition…

Statistical Mechanics · Physics 2009-11-07 M. P. Eastwood , P. G. Wolynes

We investigate the influence of space curvature, and of the associated "frustration", on the dynamics of a model glassformer: a monatomic liquid on the hyperbolic plane. We find that the system's fragility, i.e. the sensitivity of the…

Statistical Mechanics · Physics 2008-10-15 François Sausset , Gilles Tarjus , Pascal Viot

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

Disordered Systems and Neural Networks · Physics 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

Random first order transition theory is used to determine the role of attractive and repulsive interactions in the dynamics of supercooled liquids. Self-consistent phonon theory, an approximate mean field treatment consistent with random…

Soft Condensed Matter · Physics 2007-09-13 Randall W. Hall , Peter G. Wolynes

In this paper and in the companion one we address the problem of identifying the effective theory that describes the statistics of the fluctuations of what is thought to be the relevant order parameter for glassy systems---the overlap field…

Statistical Mechanics · Physics 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Boundary constraints in physical, environmental and engineering models restrict smooth states such as temperature to follow known physical laws at the edges of their spatio-temporal domain. Examples include fixed-state or fixed-derivative…

Methodology · Statistics 2025-12-05 Yue Ma , Oksana A. Chkrebtii , Stephen R. Niezgoda

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

Soft Condensed Matter · Physics 2009-11-11 Mauro Sellitto

In this work, we study the nature of transitions between inherent structures of a two-dimensional model supercooled liquid. We demonstrate that these transitions occur predominately along a small number of directions on the energy…

Statistical Mechanics · Physics 2013-03-12 Glen M. Hocky , David R. Reichman

To study the cooling behavior and the glass transition of polymer melts in bulk and with free surfaces a coarse-grained weakly semi-flexible polymer model is developed. Based on a standard bead spring model with purely repulsive…

Soft Condensed Matter · Physics 2019-09-09 Hsiao-Ping Hsu , Kurt Kremer

Framing the glass formation within standard statistical mechanics is an outstanding problem of condensed matter theory. To provide new insight, we investigate the structural properties of the Lennard-Jones fluid in the very-low temperature…

Statistical Mechanics · Physics 2026-02-02 Bomont Jean-Marc , Bretonnet Jean-Louis , Costa Dino , Pastore Giorgio

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

We present the technical details of an experimental method to realize a model system for 2D phase transitions and the glass transition. The system consists of several hundred thousand colloidal super-paramagnetic particles confined by…

Soft Condensed Matter · Physics 2012-10-26 F. Ebert , P. Dillmann , G. Maret , P. Keim

Aspects of the dynamical glass transition are considered within a mean field spin glass model. At the dynamical transition the the system condenses in a state of lower entropy. The difference, the information entropy or complexity, is…

Condensed Matter · Physics 2007-05-23 Th. M. Nieuwenhuizen

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

Statistical Mechanics · Physics 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty