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A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We…

Fluid Dynamics · Physics 2015-06-19 Miguel D. Bustamante , Brenda Quinn , Dan Lucas

Timeout control is a simple mechanism used when direct feedback is either impossible, unreliable, or too costly, as is often the case in distributed systems. Its effectiveness is determined by a timeout threshold parameter and our goal is…

Optimization and Control · Mathematics 2015-03-20 Ali Kebarighotbi , Christos G. Cassandras

Understanding the equilibration of isolated quantum systems under unitary dynamics is an interesting topic. In this paper, we look at the early time behaviour of periodically and quasi-periodically driven Transverse field Ising chains when…

Statistical Mechanics · Physics 2022-09-14 Dhruvil Doshi

We consider a harmonically driven acoustic medium in the form of a (finite length) highly nonlinear granular crystal with an amplitude and frequency dependent boundary drive. Remarkably, despite the absence of a linear spectrum in the…

Pattern Formation and Solitons · Physics 2015-12-30 D. Pozharskiy , Y. Zhang , M. O. Williams , D. M. McFarland , P. G. Kevrekidis , A. F. Vakakis , I. G. Kevrekidis

The study of complex networks sheds light on the relation between the structure and function of complex systems. One remarkable result is the absence of an epidemic threshold in infinite-size scale-free networks, which implies that any…

Physics and Society · Physics 2009-10-08 S. Meloni , A. Arenas , Y. Moreno

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We study the properties of the normal modes of a chain of Josephson junctions in the simultaneous presence of disorder and absorption. We consider the superconducting regime of small phase fluctuations and focus on the case where the…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 D. M. Basko , F. W. J. Hekking

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different topological indices, it is possible to achieve a…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

We numerically investigate the Anderson transition in an effective dimension $d$ ($3 \leq d \leq 11$) for one particle propagation in a model random and quasiperiodic potential. The found critical exponents are different from the standard…

Condensed Matter · Physics 2016-08-31 F. Borgonovi , D. L. Shepelyansky

Chaos in semiconductor lasers or other optical systems has been intensively studied in the past two decades. However, modulation around threshold has received much less attention, in particular in gain-modulated semiconductor lasers. In…

Optics · Physics 2022-03-09 J. Zou , H. Zhou , C. Jiang , G. Wang , G. L. Lippi , T. Wang

We study the spreading of initially localized states in a nonlinear disordered lattice described by the nonlinear Schr\"odinger equation with random on-site potentials - a nonlinear generalization of the Anderson model of localization. We…

Disordered Systems and Neural Networks · Physics 2010-05-11 M. Mulansky , A. Pikovsky

Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Helene Spring , Viktor Könye , Fabian A. Gerritsma , Ion Cosma Fulga , Anton R. Akhmerov

The traditional transmission coefficient present in the original Landauer formulation, which is valid for quasi-static scenarios with working frequencies below the inverse of the electron transit time, is substituted by a novel…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Matteo Villani , Simone Clochiatti , Werner Prost , Nils Weimann , Xavier Oriols

In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems is under intense theoretical debate and experimental study. We resolve this dispute showing that…

Disordered Systems and Neural Networks · Physics 2015-05-30 M. V. Ivanchenko , T. V. Laptyeva , S. Flach

We propose a class of nonlocal diffusion systems on time-varying domains, and fully characterize their asymptotic dynamics in the asymptotically fixed, time-periodic and unbounded cases. The kernel is not necessarily symmetric or compactly…

Analysis of PDEs · Mathematics 2025-02-11 Xiandong Lin , Hailong Ye , Xiao-Qiang Zhao

We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. Various transport regimes can be observed: at zero driving frequency the particle current through the system is independent…

Quantum Physics · Physics 2011-11-22 Marko Znidaric , Bojan Zunkovic , Tomaz Prosen

Wave transport in complex media is determined by the nature of quasimodes at the microscopic level. In three dimensional disordered media, waves generally undergo a phase transition from diffusion to Anderson localization, characterized by…

Disordered Systems and Neural Networks · Physics 2025-10-24 Marcus Prado , Romain Bachelard , Robin Kaiser , Felipe A. Pinheiro

We consider a quantum particle in a one-dimensional disordered lattice with Anderson localization, in the presence of multi-frequency perturbations of the onsite energies. Using the Floquet representation, we transform the eigenvalue…

Disordered Systems and Neural Networks · Physics 2016-06-15 H. Hatami , C. Danieli , J. D. Bodyfelt , S. Flach

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

Statistical Mechanics · Physics 2016-12-21 Takuma Akimoto , Eiji Yamamoto

We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

Quantum Gases · Physics 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff