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The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

We consider the problem of slow activation dynamics in glassy systems undergoing a random first order phase transition. Using an effective potential approach to supercooled liquids, we determine the spectrum of activation barriers for…

Disordered Systems and Neural Networks · Physics 2013-05-29 Maxim Dzero , Joerg Schmalian , Peter G. Wolynes

A field theoretical method for the fluctuating hydrodynamics with preserving fluctuation-dissipation relations (FDR) is reformulated. It is shown that the long time behavior within the first-loop order perturbation under the assumption that…

Statistical Mechanics · Physics 2008-10-22 Taka H. Nishino , Hisao Hayakawa

Predicting the effect of amino acid mutations on enzyme thermodynamic stability (DDG) is fundamental to protein engineering and drug design. While recent deep learning approaches have shown promise, they often process sequence and structure…

Machine Learning · Computer Science 2025-11-10 Abigail Lin

This work studies discrete diffusion probabilistic models with applications to natural language generation. We derive an alternative yet equivalent formulation of the sampling from discrete diffusion processes and leverage this insight to…

Computation and Language · Computer Science 2024-08-05 Lin Zheng , Jianbo Yuan , Lei Yu , Lingpeng Kong

We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in the modeling of glass cooling, greenhouse effects and in astrophysics. The model is considered with the reflective radiative boundary…

Analysis of PDEs · Mathematics 2021-10-12 Mohamed Ghattassi , Xiaokai Huo , Nader Masmoudi

Tree structures are ubiquitous in data across many domains, and many datasets are naturally modelled by unobserved tree structures. In this paper, first we review the theory of random fragmentation processes [Bertoin, 2006], and a number of…

Machine Learning · Statistics 2015-09-17 Hong Ge , Yarin Gal , Zoubin Ghahramani

The axiomatic theory of ideally glassy networks, which has proved effective in describing phase diagrams and many properties of chalcogenide, oxide, and even molecular glasses, is here broadened to describe both geometrical properties, such…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. C. Phillips

In this talk I will review some of the recent applications of the replica theory to glasses. I will firstly describe the basic assumptions and I will show that they can be considered as a precise reformulations of old ideas. The relation of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Giorgio Parisi

Weather forecasting remains a crucial yet challenging domain, where recently developed models based on deep learning (DL) have approached the performance of traditional numerical weather prediction (NWP) models. However, these DL models,…

Atmospheric and Oceanic Physics · Physics 2024-02-13 Zhanxiang Hua , Yutong He , Chengqian Ma , Alexandra Anderson-Frey

Pinning a fraction of particles from an equilibrium configuration in supercooled liquids has been recently proposed as a way to induce a new kind of glass transition, the Random Pinning Glass Transition (RPGT). The RPGT has been predicted…

Disordered Systems and Neural Networks · Physics 2014-10-13 Chiara Cammarota

Density matrix perturbation theory [Phys. Rev. Lett. Vol. 92, 193001 (2004)] provides an efficient framework for the linear scaling computation of response properties [Phys. Rev. Lett. Vol. 92, 193002 (2004)]. In this article, we generalize…

Computational Physics · Physics 2009-11-11 Anders M. N. Niklasson , Valery Weber , Matt Challacombe

The first well founded perturbation theory for classical solid systems is presented. Theoretical approaches to thermodynamic and structural properties of the hard-sphere solid provide us with the reference system. The traditional…

Condensed Matter · Physics 2009-10-28 C. Rascon , L. Mederos , G. Navascues

We investigate the entropy production in the Di\'osi-Penrose (DP) model, one of the most extensively studied gravity-related collapse mechanisms, and one of its dissipative extensions. To this end, we analyze the behavior of a single…

Quantum Physics · Physics 2025-02-06 Simone Artini , Gabriele Lo Monaco , Sandro Donadi , Mauro Paternostro

We consider an elastic model for a circular arch that incorporates membrane, transverse shear, and bending effects. The central line of the arch is partitioned into elements, and an ultra-weak variational formulation is developed alongside…

Numerical Analysis · Mathematics 2026-04-14 Norbert Heuer , Antti H. Niemi

The fluctuation-dissipation theorem (FDT), connecting dielectric susceptibility and polarization noise was studied in glycerol below its glass transition temperature Tg. Weak FDT violations were observed after a quench from just above to…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tomas S. Grigera , N. E. Israeloff

We present a nonlinear hydrodynamical description of a conformal plasma within the framework of divergence-type theories (DTTs), which are not based on a gradient expansion. We compare the equations of the DTT and the second-order theory…

High Energy Physics - Phenomenology · Physics 2010-10-26 J. Peralta-Ramos , E. Calzetta

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

Materials Science · Physics 2024-01-30 Zi-Kui Liu

A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain gradient plasticity formulations. A unified treatment is possible due to the representation of strain…

Soft Condensed Matter · Physics 2018-08-01 Andrew McBride , B. Daya Reddy , Paul Steinmann

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Latz