Quasiperiodic granular chains and Hofstadter butterflies

AJ Martínez, MA Porter… - … Transactions of the …, 2018 - royalsocietypublishing.org
We study quasiperiodicity-induced localization of waves in strongly precompressed granular
chains. We propose three different set-ups, inspired by the Aubry–André (AA) model, of …

Occurrence of gradual resonance in a finite-length granular chain driven by harmonic vibration

T Jiao, S Zhang, M Sun, D Huang - Nonlinear Dynamics, 2023 - Springer
This study presents numerical simulations of the resonance of a finite-length granular chain
of dissipative grains driven by a harmonically vibrated tube. Multiple gradual resonant …

Revisiting Nesterenko's solitary wave in the precompressed granular alignment held between fixed ends

T Jiao, W Chen, Y Takato, S Sen, D Huang - Granular Matter, 2023 - Springer
The response of a granular alignment held between fixed end walls to an impulse was
introduced in the works of Nesterenko between 1983 and the years that followed. He …

Rare rogue fluctuations could be generic to strongly nonlinear and non-integrable systems

R Kashyap, S Sen - Mechanics Research Communications, 2023 - Elsevier
We explore the possible existence of sufficiently large energy or rogue fluctuations (RFs) at
late times in the strongly nonlinear regime of the classic β Fermi–Pasta–Ulam–Tsingou …

The equilibrium phase in heterogeneous Hertzian chains

M Przedborski, S Sen, TA Harroun - Journal of Statistical …, 2017 - iopscience.iop.org
We examine the long-term behaviour of non-integrable, energy-conserved, 1D systems of
macroscopic grains interacting via a contact-only generalized Hertz potential and held …

Contact statistics in populations of noninteracting random walkers in two dimensions

MP Rast - Physical Review E, 2022 - APS
The interaction between individuals in biological populations, dilute components of chemical
systems, or particles transported by turbulent flows depends critically on their contact …

Early time evolution of a localized nonlinear excitation in the -FPUT chain

R Kashyap, A Westley, A Datta, S Sen - International Journal of …, 2017 - World Scientific
We present the detailed dynamics of the particles in the β-Fermi–Pasta–Ulam–Tsingou
(FPUT) chain after the initiation of a localized nonlinear excitation (LNE) by squeezing a …

PULSEDYN—A Dynamical simulation tool for studying strongly nonlinear chains

R Kashyap, S Sen - Computer Physics Communications, 2019 - Elsevier
We introduce PULSEDYN, a particle dynamics program written in C++, to solve the
equations of motion of many-body nonlinear systems in one dimension. PULSEDYN …

Possibility of useful mechanical energy from noise: the solitary wave train problem in the granular chain revisited

S Chakravarty, S Sen - Granular Matter, 2018 - Springer
A momentary velocity perturbation at an edge of a granular chain with the grains barely
touching one another and held between fixed walls propagates as a solitary wave whereas …

Long-term behavior of Hertzian chains between fixed walls is really equilibrium

M Przedborski, S Sen, TA Harroun - International Journal of Modern …, 2017 - World Scientific
We examine the long-term behavior of nonintegrable, energy-conserved, 1D systems of
macroscopic grains interacting via a contact-only generalized Hertz potential and held …