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The Langevin Equation for cooperative dynamics represents the dynamics of polymer melts with chains of increasing degree of polymerization, covering the full range of behavior from the unentangled to the entangled regime. This equation…

Soft Condensed Matter · Physics 2015-09-30 M. G. Guenza

The problems of the intermediate-range atomic structure of glasses and of the mechanism for the glass transition are approached from the low-temperature end in terms of a scenario for the atomic organization that justifies the use of an…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Giancarlo Jug

Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of…

Statistical Mechanics · Physics 2023-01-11 Corentin C. L. Laudicina , Chengjie Luo , Kunimasa Miyazaki , Liesbeth M. C. Janssen

We introduce a hybrid projection scheme that combines linear Mori projection and conditional Zwanzig projection techniques and use it to derive a Generalized Langevin Equation (GLE) for a general interacting many-body system. The resulting…

Chemical Physics · Physics 2022-08-31 Cihan Ayaz , Benjamin A. Dalton , Roland R. Netz

By mixing glass beads with a curable polymer we create a well-defined cohesive granular medium, held together by solidified, and hence elastic, capillary bridges. This material has a geometry similar to a wet packing of beads, but with an…

Soft Condensed Matter · Physics 2016-11-16 Arnaud Hemmerle , Matthias Schröter , Lucas Goehring

In this paper we investigate glass transition in aqueous suspension of synthetic hectorite clay, laponite. We believe that upon dispersing laponite clay in water, system comprises of clusters (agglomerates) of laponite dispersed in the…

Soft Condensed Matter · Physics 2007-09-29 Yogesh M. Joshi

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

Statistical Mechanics · Physics 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

A general polarizable embedded (PE) quantum mechanics/molecular mechanics scheme for periodic systems is presented, describing mutual polarization of the two subsystems. The QM system, described with density functional theory (DFT), is…

We formulate a new theory for how caging constraints in glass-forming liquids at a surface or interface are modified and then spatially transferred, in a layer-by-layer bootstrapped manner, into the film interior in the context of the…

Soft Condensed Matter · Physics 2019-02-20 Anh D. Phan , Kenneth S. Schweizer

It is found experimentally that the coexistence region of a vapor-liquid system or a binary mixture is substantially narrowed when the fluid is confined in a aerogel with a high degree of porosity (e.g. of the order of 95% to 99%). A…

Statistical Mechanics · Physics 2007-05-23 Rafael Salazar , Raul Toral , Amitabha Chakrabarti

We propose a continuous-time formulation of persistent contrastive divergence (PCD) for maximum likelihood estimation (MLE) of unnormalised densities. Our approach expresses PCD as a coupled, multiscale system of stochastic differential…

Machine Learning · Statistics 2025-10-03 Paul Felix Valsecchi Oliva , O. Deniz Akyildiz , Andrew Duncan

We developed a generalized replicated liquid theory for glassy phases of non-spherical uniaxial molecules and colloids, which becomes exact in the large dimensional limit $d\to\infty$. We then applied the scheme to patchy colloids with…

Soft Condensed Matter · Physics 2018-07-13 Hajime Yoshino

We present a Generalized Langevin Equation for the dynamics of interacting semiflexible polymer chains, undergoing slow cooperative dynamics. The calculated Gaussian intermolecular center-of-mass and monomer potentials, wich enter the GLE,…

Statistical Mechanics · Physics 2009-11-07 M. Guenza

Monitored quantum dynamics reveal quantum state trajectories which exhibit a rich phenomenology of entanglement structures, including a transition from a weakly-monitored volume law entangled phase to a strongly-monitored area law phase.…

Statistical Mechanics · Physics 2023-03-28 Yaodong Li , Sagar Vijay , Matthew P. A. Fisher

We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

Rotating systems in thermal equilibrium are ubiquitous in our world. In the context of high energy physics, rotations would affect the phase structure of QCD. However, the standard Monte-Carlo methods in rotating systems are problematic…

High Energy Physics - Theory · Physics 2023-08-23 Takehiro Azuma , Takeshi Morita , Hiroki Yoshida

We derive the Mode Coupling Theory (MCT) of the glass transition as a Landau theory, formulated as an expansion of the exact dynamical equations in the difference between the correlation function and its plateau value. This sheds light on…

Statistical Mechanics · Physics 2015-05-13 A. Andreanov , G. Biroli , J. -P. Bouchaud

Generalized Langevin equations (GLEs) provide a powerful framework for describing slow dynamics in soft-matter systems, but deriving an exact homogeneous GLE (hGLE) for a reaction coordinate from an underlying many-body system remains…

Soft Condensed Matter · Physics 2026-04-13 Shunsuke Ando , Tomoya Urashita , Soya Shinkai , Tomoshige Miyaguchi

Local diffusion coefficients in disordered materials such as living cells are highly heterogeneous. Quenched disorder is utilized substantially to study such complex systems, whereas its analytical treatment is difficult to handle. We…

Statistical Mechanics · Physics 2016-11-02 Takuma Akimoto , Eli Barkai , Keiji Saito

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane