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In this article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of the lattice elements, nodes and edges, in the presence of…

Optimization and Control · Mathematics 2015-05-12 Ioannis Dassios , Andrey Jivkov , Andrew Abu-Muharib , Peter James

Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation…

Statistical Mechanics · Physics 2010-06-08 Hiroki Ohta , Shin-ichi Sasa

A method is presented that allows exact calculations of fragment multiplicity distributions for a canonical ensemble of non-interacting clusters. Fragmentation properties are shown to depend on only a few parameters. Fragments are shown to…

Nuclear Theory · Physics 2009-10-31 Scott Pratt , Subal Das Gupta

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

In the last years, chiral effective field theory has been successfully developed for and applied to systems with few nucleons. Here, I present a new approach for ab initio calculations of nuclei that combines these precise and systematic…

Nuclear Theory · Physics 2015-05-27 Ulf-G. Meißner

Statistical models based on canonical and grand canonical ensembles are extensively used to study intermediate energy heavy ion collisions. The underlying physical assumption behind canonical and grand canonical models is fundamentally…

Nuclear Theory · Physics 2015-06-11 Swagata Mallik , Gargi Chaudhuri

We study the critical behaviour of the \SUN{} generalization of the one-dimensional Hubbard model with arbitrary degeneracy $N$. Using the integrability of this model by Bethe Ansatz we are able to compute the spectrum of the low-lying…

Condensed Matter · Physics 2009-10-22 Holger Frahm , Andreas Schadschneider

We perform large-scale Quantum Monte Carlo (QMC) simulations for strongly interacting bosons in a 2D optical lattice trap, and confirm an excellent agreement with the benchmarking in-situ density measurements by the Chicago group [1]. We…

Quantum Gases · Physics 2011-03-16 Shiang Fang , Chia-Ming Chung , Ping Nang Ma , Pochung Chen , Daw-Wei Wang

Electronic nematicity is widely observed in quantum materials with varying degrees of electronic correlation, manifesting through charge, spin, orbital, or superconducting degrees of freedom. A phenomenological model capable of describing…

Strongly Correlated Electrons · Physics 2026-04-22 W. Joe Meese , Rafael M. Fernandes

We show that the trap model at its critical temperature presents dynamical ultrametricity in the sense of Cugliandolo and Kurchan [CuKu94]. We use the explicit analytic solution of this model to discuss several issues that arise in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Bertin , J. -P. Bouchaud

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. The system of nuclear fragments exhibits a 1-st order liquid-gas phase transition. The peculiar thermodynamic properties of the model…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

We study the pseudogap Anderson model as a prototype system for critical Kondo destruction. We obtain finite-temperature (T) scaling functions near its quantum critical point, using a continuous-time quantum Monte Carlo method and also…

Strongly Correlated Electrons · Physics 2011-10-13 Matthew T. Glossop , Stefan Kirchner , J. H. Pixley , Qimiao Si

Incipient plasticity is typically associated with thermally activated events like the nucleation of dislocations in crystalline solids and the activation of shear transformation zones in metallic glasses. A widely employed method of…

Materials Science · Physics 2024-10-24 Sweta Kumari , Aditya Vardhan Mishra , Amlan Dutta

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse the failure of concrete structures. The aim is to obtain a model, which describes the important characteristics of the failure process…

Materials Science · Physics 2013-07-29 Peter Grassl , Dimitrios Xenos , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

We investigate critical equilibrium and out of equilibrium properties of a ferromagnetic Ising model in one and two dimension in the presence of long range interactions, $J_{ij}\propto r^{-(d+\sigma)}$. We implement a novel local dynamics…

Statistical Mechanics · Physics 2023-07-10 Riccardo Aiudi , Raffaella Burioni , Alessandro Vezzani

One of the ultimate goals of nuclear collision experiments at high energy is to map the phase diagram of strongly interacting matter. A very challenging task is the determination of the QCD phase structure including the search for critical…

Nuclear Experiment · Physics 2021-02-03 Anar Rustamov

A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its…

Analysis of PDEs · Mathematics 2021-10-27 Andrea Braides , Giovanni Scilla , Antonio Tribuzio

Experimental joint multiplicity distributions of neutrons and charged particles emitted in complex nuclear reactions provide an important test of theoretical models. The method is applied to test three different theoretical models of…

Nuclear Experiment · Physics 2009-10-31 J. Toke , D. K. Agnihotri , W. Skulski , W. U. Schroeder

We survey the critical behaviour of strongly interacting matter, as determined in finite temperature lattice QCD.

High Energy Physics - Lattice · Physics 2009-11-11 Helmut Satz
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