Asymptotic Behavior of Branching Random Walks on Some Two-Dimensional Lattices
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-05074-8
Abstract: A branching random walk on two-dimensional lattices corresponding to graphene and stanene is considered. It is assumed that sources of branching are located on lattices periodically. An asymptotics of the mean value of particles in… read more here.
Keywords: asymptotic behavior; behavior branching; two dimensional; dimensional lattices ... See more keywords
Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.10.023
Abstract: Abstract In this paper, a theoretical approach to calculate site percolation thresholds on two-dimensional lattices is proposed. The method, based on exact counting of configurations on finite cells, arises as a generalization of the analytical… read more here.
Keywords: dimensional lattices; analytical approximation; site percolation; percolation thresholds ... See more keywords
Synthesizing multi-dimensional excitation dynamics and localization transition in one-dimensional lattices
Sign Up to like & getrecommendations! Published in 2019 at "Nature Photonics"
DOI: 10.1038/s41566-019-0562-8
Abstract: The excitation dynamics in complex networks 1 can describe the fundamental aspects of transport and localization across multiple fields of science, ranging from solid-state physics and photonics to biological signalling pathways and neuromorphic circuits 2… read more here.
Keywords: excitation dynamics; localization transition; dimensional lattices; one dimensional ... See more keywords
Nonvolatile electro-mechanical coupling in two-dimensional lattices.
Sign Up to like & getrecommendations! Published in 2023 at "Nanoscale horizons"
DOI: 10.1039/d2nh00509c
Abstract: Electro-mechanical coupling is of great interest for applications in sensors, actuators and energy harvesters. While the control of electrical charge by mechanical force has been studied extensively, reverse coupling is rarely explored, especially in two-dimensional… read more here.
Keywords: coupling two; two dimensional; nonvolatile electro; dimensional lattices ... See more keywords
Periodic electron oscillation in coupled two-dimensional lattices
Sign Up to like & getrecommendations! Published in 2023 at "Chinese Physics B"
DOI: 10.1088/1674-1056/acce93
Abstract: We study time evolution of electron wavepacket in the coupled two-dimensional (2D) lattices with mirror symmetry, utilizing the tight-binding Hamiltonian framework. We show analytically that the wavepacket of an electron initially located on one atomic… read more here.
Keywords: periodic electron; two dimensional; coupled two; dimensional lattices ... See more keywords
Constant intensity conical diffraction in discrete one-dimensional lattices with charge-conjugation symmetry
Sign Up to like & getrecommendations! Published in 2019 at "Optics Letters"
DOI: 10.1364/ol.45.000101
Abstract: We engineer anomalous conical diffraction (CD), occurring in discrete one-dimensional lattices with charge-conjugation symmetry when an exceptional point is in the proximity of the modes that compose the initial excitation. The evolving waveform propagates ballistically,… read more here.
Keywords: constant intensity; one dimensional; intensity; dimensional lattices ... See more keywords