Diffusion-localization transition caused by nonlinear transport on complex networks
Sign Up to like & getrecommendations! Published in 2018 at "Scientific Reports"
DOI: 10.1038/s41598-018-23675-x
Abstract: We analyzed nonlinear transport as defined for directed complex networks, where the flux from one node to a neighboring node is given preferentially according to the scalar quantities at the neighbor nodes. This is known… read more here.
Keywords: phase; diffusion; transition; transport ... See more keywords
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4976510
Abstract: In this work, we provide three different numerical evidences for the occurrence of a Hopf bifurcation in a recently derived [De Masi et al., J. Stat. Phys. 158, 866-902 (2015) and Fournier and löcherbach, Ann.… read more here.
Keywords: nonlocal nonlinear; mean field; nonlinear transport; hopf bifurcation ... See more keywords
A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport
Sign Up to like & getrecommendations! Published in 2020 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/drz060
Abstract: This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable material, where the flow of an… read more here.
Keywords: nonlinear transport; brinkman darcy; flow; mixed primal ... See more keywords
Topological enhancement of nonlinear transport in unconventional point-node semimetals
Sign Up to like & getrecommendations! Published in 2023 at "Physical Review B"
DOI: 10.1103/physrevb.107.l201112
Abstract: The topological singularity of the Bloch states close to the Fermi level significantly enhances nonlinear electric responses in topological semimetals. Here, we systematically characterize this enhancement for a large class of topological nodal-point fermions, including… read more here.
Keywords: topological enhancement; enhancement nonlinear; point; transport unconventional ... See more keywords
Nonlinear Transport by Bethe Bound States.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.096602
Abstract: We consider nonlinear ballistic spin transport in the XXZ spin chain and derive an analytical result for the nonlinear Drude weight D^{(3)} at infinite temperatures. In contrast to the linear Drude weight D^{(1)}, we find… read more here.
Keywords: bound states; bethe bound; transport bethe; spin ... See more keywords
PI Controllers for 1-D Nonlinear Transport Equation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2915003
Abstract: In this paper, we introduce a method to obtain necessary and sufficient stability conditions for systems governed by one-dimensional nonlinear hyperbolic partial-differential equations with closed-loop integral controllers, when the linear frequency analysis cannot be used… read more here.
Keywords: transport equation; nonlinear transport; controllers nonlinear; stability ... See more keywords