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Response solutions are quasi-periodic ones with the same frequency as the forcing term. The present work is devoted to constructing response solutions for $d$-dimensional nonlinear plate models with nonlocal energy damping, which are…

Analysis of PDEs · Mathematics 2025-04-11 Bochao Chen , Yixian Gao , Zhaosheng Feng , Huiying Liu

We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady…

Fluid Dynamics · Physics 2014-08-01 Luiz M. Faria , Aslan R. Kasimov

Dissipation in the flexural dynamics of doubly clamped nanomechanical bar resonators is investigated using molecular dynamics simulation. The dependence of the quality factor Q on temperature and the size of the resonator is calculated from…

Materials Science · Physics 2007-05-23 M. Chu , R. E. Rudd , M. P. Blencowe

Stability analysis is performed on surface quasigeostrophic systems subjected to a Kolmogorov-type "shear force" on the boundaries using linear and nonlinear approaches. For a SQG system of semi-infinite depth forced on the upper boundary,…

Fluid Dynamics · Physics 2025-11-17 Mac Lee , Stefan Llewellyn Smith

Diffusion models typically inject isotropic Gaussian noise, disregarding structure in the data. Motivated by the way quantum squeezed states redistribute uncertainty according to the Heisenberg uncertainty principle, we introduce Squeezed…

Machine Learning · Computer Science 2025-11-19 Jyotirmai Singh , Samar Khanna , James Burgess

We study a homogeneously driven granular fluid of hard spheres at intermediate volume fractions and focus on time-delayed correlation functions in the stationary state. Inelastic collisions are modeled by incomplete normal restitution,…

Statistical Mechanics · Physics 2013-05-29 Katharina Vollmayr-Lee , Timo Aspelmeier , Annette Zippelius

Current simulations of ultraviolet-visible absorption lineshapes, and dynamics of condensed phase systems, largely adopt a harmonic description to model vibrations. Often, this involves a model of displaced harmonic oscillators that have…

Chemical Physics · Physics 2020-01-08 Luke D. Smith , Arend G. Dijkstra

A linear stability analysis of the hydrodynamic equations of a model for confined quasi-two-dimensional granular gases is carried out. The stability analysis is performed around the homogeneous steady state (HSS) reached eventually by the…

Statistical Mechanics · Physics 2021-06-10 Vicente Garzó , Ricardo Brito , Rodrigo Soto

Some general properties of the advective-acoustic instability are described and understood using a toy model which is simple enough to allow for analytical estimates of the eigenfrequencies. The essential ingredients of this model, in the…

Astrophysics · Physics 2011-02-11 T. Foglizzo

The aim of these notes is to give a quick introduction to FK-percolation, focusing on certain recent results about the phase transition of the two dimensional model, namely its continuity or discontinuity depending on the cluster weight…

Probability · Mathematics 2025-03-04 Ioan Manolescu

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic…

Statistical Mechanics · Physics 2020-04-22 J. Javier Brey , P. Maynar , M. I. García de Soria

Accurate frequency estimation is critical for the control, monitoring and protection of electrical power systems, in particular, of systems with a high penetration of power electronics. This paper introduces the novel concept of Quasi…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Joan Gutierrez-Florensa , Alvaro Ortega , Lukas Sigrist , Federico Milano

Using the ``Quality Factor'' (QF) method, we analyse the scaling properties of deep-inelastic processes at HERA and fixed target experiments for x<0.01. We look for scaling formulae of the form sigma(tau), where tau(log Q^2, Y) is a scaling…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guillaume Beuf , Robi Peschanski , Christophe Royon , David Salek

Critical points and phase transitions are characterized by diverging susceptibilities, reflecting the tendency of the system toward spontaneous symmetry breaking. Equilibrium statistical mechanics bounds these instabilities to occur at zero…

Mesoscale and Nanoscale Physics · Physics 2019-06-03 Orazio Scarlatella , Rosario Fazio , Marco Schiró

In this paper, we analyse the dynamics of a pattern-forming system close to simultaneous Turing and Turing--Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a…

Analysis of PDEs · Mathematics 2025-09-01 Bastian Hilder , Christian Kuehn

We study the evolution of a flat Friedmann-Robertson- Walker Universe, filled with a bulk viscous cosmological fluid, in the presence of variable gravitational and cosmological constants. The dimensional analysis of the model suggest a…

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

This work is concerned with the study of fundamental models from nonlinear acoustics. In Part~I, a hierarchy of nonlinear damped wave equations arising in the description of sound propagation in thermoviscous fluids is deduced. In…

Analysis of PDEs · Mathematics 2017-08-22 Barbara Kaltenbacher , Mechthild Thalhammer

A discrete Frenkel-Kontorova model with two alternate spring constants $k_{1}$ and $k_{2}$ is studied. It is found that this model has many surprising behaviours. The continuum version of this model is different from the sine-Gordon…

Condensed Matter · Physics 2008-02-03 Bambi Hu , Jian Zhou

We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Doyon

The derivation of a quasi-geostrophic (QG) system from the rotating shallow water equations on a midlatitude beta-plane coupled with moisture is presented. Condensation is prescribed to occur whenever the moisture at a point exceeds a…

Atmospheric and Oceanic Physics · Physics 2016-04-14 Joy M. Monteiro , Jai Sukhatme
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