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In this work, modulation of periodic interfacial waves on a conduit of viscous liquid is explored utilizing Whitham theory and Nonlinear Schr\"odinger (NLS) theory. Large amplitude periodic wave modulation theory does not require…

Pattern Formation and Solitons · Physics 2017-03-14 Michelle D. Maiden , Mark. A. Hoefer

In the vicinity of a phase transition, the order parameter starts fluctuating before vanishing at the critical point. The fluctuation regime, i.e. the way the ordered phase disappears, is a characteristics of a transition, and determines…

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P(g) for a quasi one dimensional wire in the absence of electron-electron…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. A. Muttalib , P. Wölfle

We investigate the transport properties of a classical wave propagating through a quasi-periodic Fibonacci array of waveguide segments in the form of loops. The formulation is general, and applicable for electromagnetic or acoustic waves…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sheelan Sengupta , Arunava Chakrabarti

Almost periodic particle chains exhibit peculiar propagation properties that are not observed in perfectly periodic ones. Furthermore, since they inherently support non-negligible long-range interactions and radiation through the…

Strongly Correlated Electrons · Physics 2015-06-19 Yarden Mazor , Ben Z. Steinberg

The Landauer formula for quantum conductance, based on the modern paradigm: "conduction is transmission", is generalized to samples of macroscopic size. Two regimes of electrical conduction, namely diffusive and ballistic ones, are studied.…

Condensed Matter · Physics 2007-05-23 P. R. Silva , Marcos Sampaio , C. Nassif , M. C. Nemes

We study the random fluctuations of the transmission in disordered quasi-one-dimensional systems such as disordered waveguides and/or quantum wires whose random configurations of disorder are characterized by density distributions with a…

Disordered Systems and Neural Networks · Physics 2018-01-03 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Víctor A. Gopar

In transport experiments the quantum nature of matter becomes directly evident when changes in conductance occur only in discrete steps, with a size determined solely by Planck's constant h. The observations of quantized steps in the…

We study the conductance properties of a straight two-dimensional electron waveguide with an s-like scatterer modeled by a single delta-function potential with a finite number of modes. Even such a simple system exhibits interesting…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daniel Boese , Markus Lischka , L. E. Reichl

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary…

Statistical Mechanics · Physics 2023-03-20 Abhinav Prem , Vir B. Bulchandani , S. L. Sondhi

The conductance of disordered nano-wires at T=0 is calculated in one-particle approximation by reducing the original multi-dimensional problem for an open bounded system to a set of exactly one-dimensional non-Hermitian problems for mode…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yu. V. Tarasov

We have studied the quantum oscillations of the conductance for arrays of connected mesoscopic metallic rings, in the presence of an external magnetic field. Several geometries have been considered: a linear array of rings connected with…

Disordered Systems and Neural Networks · Physics 2009-12-26 Christophe Texier , Pierre Delplace , Gilles Montambaux

We study the transport properties of a finite three dimensional disordered conductor, for both weak and strong scattering on impurities, employing the real-space Green function technique and related Landauer-type formula. The dirty metal is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Branislav K. Nikolic , Philip B. Allen

We study the role of charge density-wave fluctuations on the temperature dependence of Seebeck coefficient in quasi-one dimensional conductors with a Peierls instability. The description of low-dimensional incommensurate charge density-wave…

Strongly Correlated Electrons · Physics 2020-03-25 M. Mbodji , C. Bourbonnais

We study the diffusive motion of low-energy normal quasiparticles along the core of a single vortex in a dirty, type-II, s-wave superconductor. The physics of this system is argued to be described by a one-dimensional supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Bundschuh , C. Cassanello , D. Serban , M. R. Zirnbauer

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. G. Murphy , J. E. Moore

This study investigates chaotic diffusion in multi-scale turbulence driven by nonlinear wave-particle resonance coupling. Turbulent waves with distinct characteristic wavelengths across scales coherently interact with charged particles when…

Plasma Physics · Physics 2025-04-22 Yueheng Huang , Nong Xiang , Jiale Chen , Zong Xu

We report a new result concerning the dynamics of an initially localized wave packet in quantum nonlinear Schr\"odinger lattices with a disordered potential. A class of nonlinear lattices with subquadratic power nonlinearity is considered.…

Statistical Mechanics · Physics 2019-06-26 Alexander V. Milovanov , Alexander Iomin

Discrete nonlinear systems support a rich variety of localized and extended wave phenomena, with their dynamics sensitively dependent on the symmetries of the underlying interaction forces within the lattice. Odd elasticity, emerging in…

Pattern Formation and Solitons · Physics 2026-05-20 Andrus Giraldo , Stefan Ruschel , Behrooz Yousefzadeh

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich
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