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We investigate the dynamical properties of a strongly disordered micropolar lattice made up of cubic block units. This phononic lattice model supports both transverse and rotational degrees of freedom hence its disordered variant posses an…

Pattern Formation and Solitons · Physics 2020-08-12 A. Ngapasare , G. Theocharis , O. Richoux , Ch. Skokos , V. Achilleos

The low-field electron diffusion, noise, and the conduction in amorphous chalcogenides are investigated by means of a Monte Carlo implementation of a full three- dimensional variable-range hopping transport model between localized states.…

Materials Science · Physics 2012-03-05 Fabrizio Buscemi , Enrico Piccinini , Rossella Brunetti , Massimo Rudan , Carlo Jacoboni

This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear…

Analysis of PDEs · Mathematics 2025-04-23 Joseph Kraisler , Wei Li , Kui Ren , John C. Schotland , Yimin Zhong

We present a numerical study of nonlinear electrokinetic transport in porous media, focusing on the role of heterogeneity in a porous microstructure on ion concentration polarization and over-limiting current. For simplicity, the porous…

Fluid Dynamics · Physics 2019-01-10 Shima Alizadeh , Martin Z. Bazant , Ali Mani

A review of the research on electron and ion transport in dense rare gases is presented. The investigation of the transport properties of electrons in dense rare gases aims at understanding the dynamics and energetics of electron states in…

Atomic Physics · Physics 2016-11-15 A. F. Borghesani

We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL…

Chaotic Dynamics · Physics 2011-07-18 J. D. Bodyfelt , T. V. Laptyeva , Ch. Skokos , D. O. Krimer , S. Flach

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Philipp Heilmann , Pavlo V. Pyshkin , Björn Trauzettel

We investigate the space distribution of carrier density and the compressibility of two-dimensional (2D) electron systems by using the local density approximation. The strong correlation is simulated by the local exchange and correlation…

Strongly Correlated Electrons · Physics 2009-11-07 Junren Shi , X. C. Xie

The law of reflection states that smooth surfaces reflect waves specularly, thereby acting as a mirror. This law is insensitive to disorder as long as its length scale is smaller than the wavelength. Monolayer graphene exhibits a linear…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 E. Walter , T. Ö. Rosdahl , A. R. Akhmerov , F. Hassler

We demonstrate the trapping of electrons propagating ballistically at far-above-equilibrium energies in GaAs/AlGaAs heterostructures in high magnetic field. We find low-loss transport along a gate-modified mesa edge in contrast to an…

Mesoscale and Nanoscale Physics · Physics 2020-03-30 L. Freise , T. Gerster , D. Reifert , T. Weimann , K. Pierz , F. Hohls , N. Ubbelohde

Wave propagation in time-varying media enables unique control of energy transport by breaking energy conservation through temporal modulation. Among the resulting phenomena, temporal disorder-random fluctuations in material parameters-can…

Optics · Physics 2025-10-17 Seulong Kim , Kihong Kim

The two-band Hubbard model is used to analyze a possibility of a non-uniform charge distribution in a strongly correlated electron system with two types of charge carriers. It is demonstrated that in the limit of strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2009-11-13 A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

We present a numerical study on the light transport properties which are modulated by the disorder strength in quasi-one-dimensional disordered waveguide which consists of periodically arranged scatterers with random dielectric constant.…

Optics · Physics 2017-03-22 Yuchen Xu , Hao Zhang , Yujun Lin , Heyuan Zhu

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

Static or frozen disorder, characterised by spatial heterogeneities, influences diverse complex systems, encompassing many-body systems, equilibrium and nonequilibrium states of matter, intricate network topologies, biological systems, and…

Disordered Systems and Neural Networks · Physics 2025-03-24 M. Ahumada , L. Trujillo , J. F. Marín

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

We study the quantum diffusion of an electron in a quantum chain starting from an initial state localized around a given site. As the wavepacket diffuses, the probability of reconstructing the initial state on another site diminishes…

Quantum Physics · Physics 2009-11-05 S. Paganelli , G. L. Giorgi , F. de Pasquale

Light transport in a disordered ensemble of resonant atoms placed in a waveguide is found to be very sensitive to the sizes of cross section of a waveguide. Based on self-consistent quantum microscopic model treating atoms as coherent…

Quantum Physics · Physics 2022-07-13 A. S. Kuraptsev , I. M. Sokolov

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

Mesoscale and Nanoscale Physics · Physics 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche

We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonators. To do so, we employ the capacitance matrix formalism…

Disordered Systems and Neural Networks · Physics 2025-07-10 Habib Ammari , Silvio Barandun , Alexander Uhlmann