Small Mass Nanopteron Traveling Waves in Mass-in-Mass Lattices with Cubic FPUT Potential
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09865-0
Abstract: The mass-in-mass (MiM) lattice consists of an infinite chain of identical beads that are both nonlinearly coupled to their nearest neighbors and linearly coupled to a distinct resonator particle; it serves as a prototypical model… read more here.
Keywords: small mass; mass; nanopteron traveling; traveling waves ... See more keywords
Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.03.023
Abstract: Abstract An approximation of a Generalized Langevin equations with small mass and randomly fast oscillation is derived. By some bounded estimates and a diffusion approximation the limiting equation is shown to be stochastic partial differential… read more here.
Keywords: generalized langevin; diffusion approximation; approximation generalized; small mass ... See more keywords
Perspective on small mass and force measurements
Sign Up to like & getrecommendations! Published in 2023 at "Measurement Science and Technology"
DOI: 10.1088/1361-6501/acd134
Abstract: The measurement of small mass and force is as pertinent now as it was in 1923 when E M Eden and C G Eden published their article titled ‘Two machines for rapidly weighing loads of… read more here.
Keywords: mass force; perspective small; small mass; measurement ... See more keywords
Intermediate Mass-Ratio Black Hole Binaries: Applicability of Small Mass-Ratio Perturbation Theory.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.181101
Abstract: The inspiral phasing of binary black holes at intermediate mass ratios (m_{2}/m_{1}∼10^{-3}) is important for gravitational wave observations, but not accessible to standard modeling techniques: The accuracy of the small mass-ratio (SMR) expansion is unknown… read more here.
Keywords: intermediate mass; mass ratio; theory; small mass ... See more keywords
Exploring the Small Mass Ratio Binary Black Hole Merger via Zeno's Dichotomy Approach.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.191102
Abstract: We perform a sequence of binary black hole simulations with increasingly small mass ratios, reaching to a 128:1 binary that displays 13 orbits before merger. Based on a detailed convergence study of the q=m_{1}/m_{2}=1/15 nonspinning… read more here.
Keywords: black hole; merger; mass; hole ... See more keywords