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We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. Suitable symmetry…

Pattern Formation and Solitons · Physics 2017-06-28 Yannis Kominis , Tassos Bountis , Sergej Flach

A class of $d$-dimensional reaction-diffusion models interpolating continuously between the diffusion-coagulation and the diffusion-annihilation models is introduced. Exact relations among the observables of different models are…

Condensed Matter · Physics 2009-10-28 Daniele Balboni , Pierre-Antoine Rey , Michel Droz

Hyperuniform particle arrangements are characterized by a local number variance that grows more slowly than the volume of the observation window. We generalize this concept to describe particle systems in which particles carry weights:…

Statistical Mechanics · Physics 2026-03-04 Salvatore Torquato , Jaeuk Kim , Michael A. Klatt , Roberto Car , Paul J. Steinhardt

Starting from a Huxley-type model for an agitated vibrational mode, we propose an embedding of standard active particle models in terms of two-temperature processes. One temperature refers to an ambient thermal bath, and the other…

Statistical Mechanics · Physics 2024-07-02 Faezeh Khodabandehlou , Christian Maes

We revisit the global fit to electroweak precision observables in the Standard Model and present model-independent bounds on several general new physics scenarios. We present a projection of the fit based on the expected experimental…

High Energy Physics - Phenomenology · Physics 2017-02-28 Jorge de Blas , Marco Ciuchini , Enrico Franco , Satoshi Mishima , Maurizio Pierini , Laura Reina , Luca Silvestrini

A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard model gives rise to a soluble model and here is used to calculate several thermodynamic observables. The constraint of unit density per site, density = 1, is…

Quantum Gases · Physics 2024-09-18 Moorad Alexanian

We prove an equivalence result between the validity of a pointwise Hardy inequality in a domain and uniform capacity density of the complement. This result is new even in Euclidean spaces, but our methods apply in general metric spaces as…

Analysis of PDEs · Mathematics 2026-03-19 Riikka Korte , Juha Lehrbäck , Heli Tuominen

We report the results of a numerical study of nonequilibrium steady states for a class of Hamiltonian models. In these models of coupled matter-energy transport, particles exchange energy through collisions with pinned-down rotating disks.…

Statistical Mechanics · Physics 2015-05-18 Kevin K. Lin , Lai-Sang Young

In the setting of spaces of homogeneous type, we study some Hardy type inequalities, which notably appeared in the proofs of local T(b) theorems as in [AR]. We give some suffi cient conditions ensuring their validity, related to the…

Classical Analysis and ODEs · Mathematics 2013-04-12 Eddy Routin

We consider Higgs-Higgs scattering in a minimal Higgs model with strong coupling which leads to the Higgs as a bound state. The partial wave amplitude is unitarized using general principles of analyticity. We find lambda(m_H)/16pi is…

High Energy Physics - Phenomenology · Physics 2008-02-03 H. J. Lubatti , I. J. Muzinich

The status of the theoretical uncertainties for LEP1 observables associated with the corresponding comparison among different codes is briefly reviewed.

High Energy Physics - Phenomenology · Physics 2009-10-28 Giampiero Passarino

Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 V. M. Martinez Alvarez , J. E. Barrios Vargas , M. Berdakin , L. E. F. Foa Torres

We investigate the problem of the existence of trajectories asymptotic to elliptic equilibria of Hamiltonian systems in the presence of resonances.

Dynamical Systems · Mathematics 2016-02-11 Paolo Buttà , Piero Negrini

We study systems containing electrons and nuclei. Based on the fact that the thermodynamic limit exists for systems with Dirichlet boundary conditions, we prove that the same limit is obtained if one imposes other boundary conditions such…

Mathematical Physics · Physics 2007-05-23 David Hasler , Jan Philip Solovej

Fitting models to data is an important part of the practice of science. Advances in machine learning have made it possible to fit more -- and more complex -- models, but have also exacerbated a problem: when multiple models fit the data…

Methodology · Statistics 2025-10-27 Alexandre René , André Longtin

The concept of integrable boundary conditions is applied to hydrodynamic type systems. Examples of such boundary conditions for dispersionless Toda systems are obtained. The close relation of integrable boundary conditions with integrable…

Exactly Solvable and Integrable Systems · Physics 2015-05-13 Metin Gurses , Ismagil Habibullin , Kostyantyn Zheltukhin

We have one more look at the (homological) perturbation lemma and we point out some non-standard consequences, including the relevance to deformations.

Algebraic Topology · Mathematics 2007-05-23 M. Crainic

The influence of controlable parameters like temperature and wavelength on the trajectories of light in a nematic liquid crystal with topological defects is studied through a geometric model. The model incorporates phenomenological details…

Soft Condensed Matter · Physics 2009-11-13 Caio satiro , Fernando Moraes

Statistical latent class models are widely used in social and psychological researches, yet it is often difficult to establish the identifiability of the model parameters. In this paper we consider the identifiability issue of a family of…

Methodology · Statistics 2016-03-15 Gongjun Xu

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems on finite lattices with stationary product…

Statistical Mechanics · Physics 2018-05-09 Thomas Rafferty , Paul Chleboun , Stefan Grosskinsky