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The free energy of the Coulomb Gap problem is expanded as a set of Feynman diagrams, using the standard diagrammatic methods of perturbation theory. The gap in the one-particle density of states due to long-ranged interactions corresponds…

Condensed Matter · Physics 2018-05-09 S. R. Johnson , D. E. Khmelnitskii

The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 J. A. Belinchon , T. Harko , M. K. Mak

Active glasses refer to a class of driven non-equilibrium systems that share remarkably similar dynamical behavior as conventional glass-formers in equilibrium. Glass-like dynamical characteristics have been observed in various biological…

Soft Condensed Matter · Physics 2024-12-24 Subhodeep Dey , Smarajit Karmakar

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effective theory for the critical fluctuations. This analysis leads…

Disordered Systems and Neural Networks · Physics 2013-05-24 Silvio Franz , Hugo Jacquin , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We discuss the dependence of the critical properties of the Anderson model on the dimension $d$ in the language of $\beta$-function and renormalization group recently introduced in Ref.[arXiv:2306.14965] in the context of Anderson…

Disordered Systems and Neural Networks · Physics 2025-08-27 Boris L. Altshuler , Vladimir E. Kravtsov , Antonello Scardicchio , Piotr Sierant , Carlo Vanoni

We study thermally activated dynamics using functional renormalization within the field theory of randomly pinned elastic systems, a prototype for glasses. It appears through an essentially non-perturbative boundary layer in the running…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leon Balents , Pierre Le Doussal

This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. In this paper, we motivate and present a general approach…

Mathematical Physics · Physics 2015-06-19 Roland Bauerschmidt , David C. Brydges , Gordon Slade

We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. By expanding the effective…

Statistical Mechanics · Physics 2016-08-24 Michael Buchhold , Sebastian Diehl

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method.…

Disordered Systems and Neural Networks · Physics 2014-09-09 Michele Castellana

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

High Energy Physics - Theory · Physics 2009-10-30 N. Tetradis

The finite temperature dynamics of the Dyson hierarchical classical spins models is studied via real-space renormalization rules concerning the couplings and the relaxation times. For the ferromagnetic model involving Long-Ranged coupling…

Disordered Systems and Neural Networks · Physics 2016-04-14 Cecile Monthus

We show that the dynamics of a laser driven Rydberg gas in the limit of strong dephasing is described by a master equation with manifest kinetic constraints. The equilibrium state of the system is uncorrelated but the constraints in the…

Atomic Physics · Physics 2015-06-16 Igor Lesanovsky , Juan P. Garrahan

We present a dynamical field theory for directed randomly branched polymers and in particular their collapse transition. We develop a phenomenological model in the form of a stochastic response functional that allows us to address several…

Soft Condensed Matter · Physics 2015-05-13 Hans-Karl Janssen , Frank Wevelsiep , Olaf Stenull

Observations of glassy dynamics in experiments on confluent cellular tissue have inspired a wealth of computational and theoretical research to model their emergent collective behavior. Initial studies of the physical properties of several…

Soft Condensed Matter · Physics 2024-09-04 Helen S. Ansell , Chengling Li , Daniel M. Sussman

The three-dimensional strongly screened vortex-glass model is studied numerically using methods from combinatorial optimization. We focus on the effect of disorder strength on the ground state and found the existence of a disorder-driven…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frank O. Pfeiffer , Heiko Rieger

The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the…

A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Parisi , R. Petronzio , F. Rosati

In recent work we have shown that the Fermi liquid aspects of the strong coupling fixed point of the s-d and Anderson models can brought out more clearly by interpreting the fixed point as a renormalized Anderson model, characterized by a…

Strongly Correlated Electrons · Physics 2009-11-10 A. C. Hewson