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Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments of the field to be…

偏微分方程分析 · 数学 2018-12-26 Pedro Caro , Tapio Helin , Antti Kujanpää , Matti Lassas

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

偏微分方程分析 · 数学 2016-01-20 Liliana Borcea , Knut Solna

A Lorentz invariant statistical model is presented for rotational fluctuations in the local inertial frame that arise from new quantum degrees of freedom of space-time. The model assumes invariant classical causal structure, and a Planck…

广义相对论与量子宇宙学 · 物理学 2017-06-09 Craig Hogan , Ohkyung Kwon , Jonathan Richardson

We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force correlation in terms of the time-dependent drift force fields are…

统计力学 · 物理学 2007-05-23 Kyungsik Kim , Y. S. Kong

This talk discusses the relation between spacetime-dependent scalars, such as couplings or fields, and the violation of Lorentz symmetry. A specific cosmological supergravity model demonstrates how scalar fields can acquire time-dependent…

广义相对论与量子宇宙学 · 物理学 2016-11-03 Ralf Lehnert

The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this…

数值分析 · 数学 2022-02-04 Jörg Nick , Balázs Kovács , Christian Lubich

We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The increase…

无序系统与神经网络 · 物理学 2022-06-01 Karol Kawa , Paweł Machnikowski

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

介观与纳米尺度物理 · 物理学 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

We study the polarization of light emitted by spatially correlated sources. We show that in general polarization acquires nontrivial spectral dependence due to spatial correlations. The spectral dependence is found to be absent only for a…

光学 · 物理学 2009-11-06 Krishna Bhuvalka , Pankaj Jain

We study theoretically the spatial correlations between the intensities measured at the input and output planes of a disordered scattering medium. We show that at large optical thicknesses, a long-range spatial correlation persists and…

光学 · 物理学 2015-09-23 N. Fayard , A. Cazé , R. Pierrat , R. Carminati

We find a renormalized "time-dependent diffusion coefficient", D(t), for pulsed excitation of a nominally diffusive sample by solving the Bethe-Salpeter equation with recurrent scattering. We observe a crossover in dynamics in the…

无序系统与神经网络 · 物理学 2009-11-10 S. K. Cheung , X. Zhang , Z. Q. Zhang , A. A. Chabanov , A. Z. Genack

In the exciton-polariton system, a linear dispersive photon field is coupled to a nonlinear exciton field. Short-time analysis of the lossless system shows that, when the photon field is excited, the time required for that field to exhibit…

偏微分方程分析 · 数学 2017-10-25 Cristi D. Guevara , Stephen P. Shipman

In this work, we investigate time-dependent wave scattering by multiple small particles of arbitrary shape. To approximate the solution of the associated boundary-value problem, we derive an asymptotic model that is valid in the limit as…

数值分析 · 数学 2025-11-17 Maryna Kachanovska , Adrian Savchuk

Spatial and temporal evolution is studied of two powerful short laser pulses having different wavelengths and interacting with a dense three-level Lambda-type optical medium under coherent population trapping. A general case of unequal…

量子物理 · 物理学 2009-11-07 V. G. Arkhipkin , I. V. Timofeev

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

光学 · 物理学 2009-11-13 Fabio Biancalana , Andreas Amann , Alexander V. Uskov , Eoin P. O'Reilly

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

数值分析 · 数学 2023-10-30 Jörg Nick

We show that the quantum coherent transfer of excitations between biomolecular chromophores is strongly influenced by spatial correlations of the environmental fluctuations. The latter are due either to propagating environmental modes or to…

介观与纳米尺度物理 · 物理学 2015-05-18 P. Nalbach , J. Eckel , M. Thorwart

We present results for the fluctuations of the displacement of a tracer particle on a planar lattice pulled by a step force in the presence of impenetrable, immobile obstacles. The fluctuations perpendicular to the applied force are…

统计力学 · 物理学 2018-02-06 Sebastian Leitmann , Thomas Schwab , Thomas Franosch

Using test-particle simulations, we investigate the temporal dependence of the two-point velocity correlation function for charged particles scattering in a time-independent spatially fluctuating magnetic field derived from a…

高能天体物理现象 · 物理学 2015-06-05 Federico Fraschetti , Joe Giacalone

We describe space--time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein--Gordon equation we obtain within a weak-field approximation up to second order and an averaging…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ertan Göklü , Claus Lämmerzahl