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The impact of local space anisotropy on the transverse Doppler effect is examined. Two types of laboratory experiments aimed at seeking and measuring the local space anisotropy are proposed. In terms of the conventional special relativity…

General Relativity and Quantum Cosmology · Physics 2007-06-19 George Bogoslovsky

We use two different fully vectorial microscopic models featuring nonresonant and resonant scattering, respectively, to demonstrate the Anderson localization transition for elastic waves in three-dimensional (3D) disordered solids. Critical…

Disordered Systems and Neural Networks · Physics 2018-08-24 S. E. Skipetrov , Y. M. Beltukov

We present an experimental signature of the Anderson localisation of microcavity polaritons, and provide a systematic study of the dependence on disorder strength. We reveal a controllable degree of localisation, as characterised by the…

We demonstrate the use of spatially encoded magnetic resonance to quantify ensemble dynamics of microscopic particles below the spatial resolution. By evaluating time series of k-space data-points, k-dependent motion patterns can be…

Instrumentation and Detectors · Physics 2018-05-16 Volker Herold , Thomas Kampf , Peter Michael Jakob

Anderson localization is a universal interference phenomenon occurring when a wave evolves through a random medium and it has been observed in a great variety of physical systems, either quantum or classical. The recently developed…

Disordered Systems and Neural Networks · Physics 2022-11-30 David Colas , Cédric Bellis , Bruno Lombard , Régis Cottereau

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 develop a self-consistent theoretical approach to the dynamics of Anderson localization in open three-dimensional (3D) disordered media. The approach allows us to study time-dependent transmission and reflection, and the distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

Understanding the ability of particles to maneuver through disordered environments is a central problem in innumerable settings, from active matter and biology to electronics. Macroscopic particles ultimately exhibit diffusive motion when…

Fluid Dynamics · Physics 2024-09-18 Abel J. Abraham , Stepan Malkov , Frane A. Ljubetic , Matthew Durey , Pedro J. Sáenz

Steady-state and transient antiplane dynamic processes in a structured solids consisting of uniform periodic square-cell lattices connected by a lattice layer of different bond stiffnesses and point masses are analyzed. A semi-infinite…

Materials Science · Physics 2011-12-12 Grigory Osharovich , Mark Ayzenberg-Stepanenko

We show that, in contrast to immediate intuition, Anderson localization of noninteracting particles induced by a disordered potential in free space can increase (i.e., the localization length can decrease) when the particle energy…

Quantum Gases · Physics 2012-06-19 Marie Piraud , Alain Aspect , Laurent Sanchez-Palencia

It is considered an equation for the Lyapunov exponent $% \gamma $ in a random metric for a scalar propagating wave field. At first order in frequency this equation is solved explicitly. The localization length $L_{c}$ (reciprocal of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. Flores , M. Bologna

This thesis describes the measurement and analysis of the transmission matrix (TM) for microwave radiation propagating through multichannel random waveguides in the crossover to Anderson localization. Eigenvalues of the transmission matrix…

Disordered Systems and Neural Networks · Physics 2014-02-17 Zhou Shi

We measure the field transmission matrix t for microwave radiation propagating through random waveguides in the crossover to Anderson localization. From these measurements, we determine the dimensionless conductance, g, and the individual…

Disordered Systems and Neural Networks · Physics 2012-02-17 Zhou Shi , Azriel Z. Genack

We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as $1/r^{a}$ with complex hopping amplitudes that break time-reversal symmetry in a tunable fashion by varying their argument.…

Disordered Systems and Neural Networks · Physics 2026-04-03 Bikram Pain , Sthitadhi Roy , Jens H. Bardarson , Ivan M. Khaymovich

We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We found that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our…

Disordered Systems and Neural Networks · Physics 2015-05-18 Chu-Shun Tian , Sai-Kit Cheung , Zhao-Qing Zhang

The nature of transport of electrons and classical waves in disordered systems depends upon the proximity to the Anderson localization transition between freely diffusing and localized waves. The suppression of average transport and the…

Disordered Systems and Neural Networks · Physics 2014-02-18 Zhou Shi , Jing Wang , Azriel Z. Genack

Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localised phases, allow for criticality in 1D disordered systems. We analyse the statistical properties of an emsemble of critical…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 Eoin Quinn , Thomas Cope , Jens H. Bardarson , Alexander Ossipov

Solutions of the wave equations for time-independent disordered media can exhibit Anderson localization where instead of wave propagation we observe their localization around different points in space. Photonic time crystals are spatially…

We study numerically the evolution of wavepackets in quasi one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets…

Condensed Matter · Physics 2009-10-28 F. M. Izrailev , T. Kottos , A. Politi , G. P. Tsironis

Motion in a one-dimensional (1D) microfluidic array is simulated. Water droplets, dragged by flowing oil, are arranged in a single row, and due to their hydrodynamic interactions spacing between these droplets oscillates with a wave-like…

Fluid Dynamics · Physics 2015-06-05 Bin Liu , J. Goree , Yan Feng
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