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We continue our study of the exact solutions for steady-state cracks in ideally brittle viscoelastic lattice models by focusing on mode I in a triangular system. The issues we address include the crack velocity versus driving curve as well…

Materials Science · Physics 2007-05-23 Leonid Pechenik , Herbert Levine , David A. Kessler

Optical bound state in the continuum (BIC) is characterized by infinitely high quality factor resulting in drastic enhancement of light-matter interaction phenomena. We study the optical response of a one-dimensional photonic crystal slab…

Optics · Physics 2018-07-04 S. D. Krasikov , A. A. Bogdanov , I. V. Iorsh

We investigate the distributions of the link overlap, P(Q), in 3-dimensional Ising spin glasses. We use clustering methodology to identify a set of pairs of states from different Gibbs states, and calculate its contribution to P(Q). We find…

Disordered Systems and Neural Networks · Physics 2007-10-24 Guy Hed , Eytan Domany

The convenience of 3D sensors has led to an increase in the use of 3D point clouds in various applications. However, the differences in acquisition devices or scenarios lead to divergence in the data distribution of point clouds, which…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Zhimin Zhang , Xiang Gao , Wei Hu

We introduce a family of glassy models having a parameter, playing the role of an interaction range, that may be varied continuously to go from a system of particles in d dimensions to a mean-field version of it. The mean-field limit is…

Statistical Mechanics · Physics 2015-05-27 Romain Mari , Jorge Kurchan

The traditional Chern-Simons (CS) terms in 3+1 dimensions that modify General Relativity (GR), Quantum Chromodynamics (QCD), and Quantum Electrodynamics (QED), typically lack scale invariance. However, a locally scale invariant and…

High Energy Physics - Theory · Physics 2024-08-07 Itzhak Bars , Sophia D. Singh

A formalism is presented which allows covariant three-dimensional bound-state equations to be derived systematically from four-dimensional ones without the use of delta-functions. The amplitude for the interaction of a bound state described…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , S. J. Wallace

We report on a refined version of our spin-glass type approach to the low-temperature physics of structural glasses. Its key idea is based on a Born von Karman expansion of the interaction potential about a set of reference positions in…

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Jens Urmann

We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order symmetric-hyperbolic form for any fixed choice of gauge. Hyperbolicity considerations lead us to a redefinition of the lapse in terms of an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Simonetta Frittelli , Oscar A. Reula

Generalized Additive Models (GAMs) can be used to create non-linear glass-box (i.e. explicitly interpretable) models, where the predictive function is fully observable over the complete input space. However, glass-box interpretability…

Machine Learning · Computer Science 2026-04-22 Nicolas Salvadé , Tim Hillel

We present cosmological solutions for (1+3+n)-dimensional steady state universe in dilaton gravity with an arbitrary dilaton coupling constant w and exponential dilaton self-interaction potentials in the string frame. We focus particularly…

General Relativity and Quantum Cosmology · Physics 2013-03-01 Ozgur Akarsu , Tekin Dereli

Galactic outflows are a key agent of galaxy evolution, yet their observed multiphase nature remains difficult to reconcile with theoretical models, which often fail to explain how cold gas survives interactions with hot, fast winds. We…

Astrophysics of Galaxies · Physics 2026-04-08 Fernando Hidalgo-Pineda , Max Gronke , Philipp Grete

We introduce a diluted version of the one dimensional spin-glass model with interactions decaying in probability as an inverse power of the distance. In this model varying the power corresponds to change the dimension in short-range models.…

Disordered Systems and Neural Networks · Physics 2009-11-13 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

Conditioning is crucial for stable training of full-head 3D GANs. Without any conditioning signal, the model suffers from severe mode collapse, making it impractical to training. However, a series of previous full-head 3D GANs…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Heyuan Li , Huimin Zhang , Yuda Qiu , Zhengwentai Sun , Keru Zheng , Lingteng Qiu , Peihao Li , Qi Zuo , Ce Chen , Yujian Zheng , Yuming Gu , Zilong Dong , Xiaoguang Han

It is well known that typical PT-symmetric systems suffer symmetry breaking when the strength of the gain-loss terms exceeds a certain critical value. We present a summary of recently published and newly produced results which demonstrate…

Optics · Physics 2018-02-27 Vitaly Lutsky , Eitam Luz , Er'el Granot , Boris A. Malomed

We compare the probability distributions and Binder cumulants of the overlap in the 3D Ising spin glass with those of the magnetization in the ferromagnetic 2D XY model. We analyze similarities and differences. Evidence for the existence of…

Disordered Systems and Neural Networks · Physics 2009-10-30 David Iñiguez , Enzo Marinari , Giorgio Parisi , Juan J. Ruiz-Lorenzo

I consider a simple set of equations that govern the expansion of boost-invariant plasmas of massless particles. These equations describe the transition from a collisionless regime at early time to hydrodynamics at late time. Their…

Nuclear Theory · Physics 2023-09-26 Jean-Paul Blaizot

We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yields the total mass. The triangulation is dynamical with…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Jonathan Ziprick

This paper introduces, up to the author's knowledge, for the first time the generalized initial value problem. In this problem, given an ordinary differential equation defined in some set, the initial conditions are mapped to a subset of…

Dynamical Systems · Mathematics 2022-06-14 Andrés García , Juan Andrés Roteta Lannes

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang