Results 251 to 260 of about 19,778 (271)

Stochastic theory of waves and localization in two-dimensional random medium

Radio Science, 2002
Random wave field satisfying two‐dimensional (2D) wave equation with a random medium is studied using the stochastic representation in the polar coordinate system. The random medium is assumed to be a homogeneous and isotropic Gaussian random field, and its polar spectral representation is effectively employed in the method of solution. The isotropy of
Hisanao Ogura
exaly   +2 more sources

Analysis of Ground Movement in Pile Driving Based on Stochastic Medium Theory

Applied Mechanics and Materials, 2013
In order to calculate the ground movement induced by displacement piles driven into horizontal layered soil, it is simplified to an axisymmetric problem. Then the vertical and horizontal ground movement functions were deduced based on stochastic medium theory.
Fei Meng, Jia Sheng Zhang
exaly   +2 more sources

Stochastic theory of a quasiparticle propagating in a dynamically fluctuating medium

Physica A: Statistical Mechanics and Its Applications, 1991
Abstract A stochastic theory describing properties of a quasiparticle propagating in a dynamically fluctuating medium is developed on the basis of the single-site dynamical coherent potential approximation and the time-convolution equation formalism involving the partial cumulant expansion. The optical absorption spectra I(ω), the density of states N(
Fumiaki Shibata
exaly   +2 more sources

Soil deformation induced by Double-O-Tube shield tunneling with rolling based on stochastic medium theory

Tunnelling and Underground Space Technology, 2016
Abstract The prediction of soil deformation during tunneling is very difficult for Double-O-Tube (DOT) shield tunnel construction, especially for the shield rolling. According to the characteristics of DOT shield tunneling and rolling, a calculation model of soil deformation due to tunneling-induced ground loss was established.
Bin Zeng, Da Huang
exaly   +2 more sources

Prediction of Ground Settlement Due to Excavation of a Quasi-Rectangular Shield Tunnel Based on Stochastic Medium Theory

Geotechnical and Geological Engineering, 2019
In this study, a method for calculating the ground loss-induced ground settlement during quasi-rectangular shield (QRS) tunnelling was investigated. Based on stochastic medium theory, an equation for calculating QRS tunnelling-induced transverse ground settlement was derived. A tunnelling face convergence mode coefficient, α, was introduced to make the
Gang Wei
exaly   +2 more sources

Caving mechanisms of loose top-coal in longwall top-coal caving mining based on stochastic medium theory

Arabian Journal of Geosciences, 2018
A good understanding of the caving mechanisms of loose top-coal is significant for longwall top-coal caving (LTCC) mining. In this paper, the equations of the particle motion, top-coal boundary, and drawing body were derived based on the stochastic medium theory. Then, the particles moving boundary and the shape of the top-coal loss were discussed, and
Weisheng Du, Lingfan Zhang, Zihan Zhou   +2 more
exaly   +2 more sources

Profiles of hydrogen stretching ir bands of molecules with hydrogen bonds: A stochastic theory. I. Weak and medium strength hydrogen bonds

Journal of Chemical Physics, 1975
A theory is proposed to describe the shape, in inert solutions, of hydrogen stretching ir bands of complexes with hydrogen bonds. The theory uses stochastic arguments and is related to general theories of ir band profiles of liquids. The cases of weak and medium strength hydrogen bond are treated separately.
S Bratos
exaly   +2 more sources

Coherent-medium approximation in the stochastic transport theory of random media

Physical Review B, 1981
An admittance for localized physical quantities is generally related to a random walk on the basis of linear-response theory. A coherent-medium approximation is introduced to solve a master equation which is assumed to govern the random walk. The general formalism is specialized to ac hopping conduction and applied to the bond-percolation model in one-
T. Odagaki, M. Lax
openaire   +1 more source

Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters

Physical Review E, 2010
We present a framework for the stochastic features of the polarization state of an electromagnetic wave propagating through the optical medium with both deterministic (controlled) and disordered birefringence. In this case, the Stokes parameters obey a Langevin-type equation on the Poincaré sphere.
Robert, Botet, Hiroshi, Kuratsuji
openaire   +2 more sources

Quantum Markovian master equation theory of particle migration in a stochastic medium

Physica A: Statistical Mechanics and its Applications, 1992
Abstract The problem of quasi-particle motion in a stochastic medium is investigated under the supposition that it is a Markovian process. The phenomenological approach to this problem starts from the well-known quantum Markovian master equation. The paper is devoted to the construction of the so-called dissipative terms of the master equation.
openaire   +1 more source