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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
Lingfan Zhang   +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.
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(
Hiromi Ezaki, Fumiaki Shibata
openaire   +1 more source

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

Prediction and Control of Ground Deformation and Displacement due to Large Slurry Shield Tunneling using Stochastic Medium Theory

ICPTT 2009, 2009
Slurry shield tunneling has been successfully applied worldwide in recent years due to its virtues However, in a complicated environment, the prediction and control of ground surface deformation and displacement due to large slurry shield excavation remain important problems to be solved.
Zhenzhi Wu   +4 more
openaire   +1 more source

Quantum stochastic theory of exchange dephasing model for a vibrating molecule in dense medium

Chemical Physics Letters, 1981
Abstract The exchange dephasing model is investigated theoretically. An equation of motion satisfied by a reduced density matrix for the observed high-frequency mode is derived by a cumulant perturbation expansion method up to fourth order. The calculation shows a temperature dependence of the width and shift of the spectral line.
openaire   +1 more source

Stochastic Systems Theory of the Scattering of Waves from a Random Medium

1985
The relation between source and resulting random wave field of spatial stochastic systems is given in the form of an operator equation. In some cases it can be transformed into a problem of solving random integral equations. Applications to underwater acoustics are considered.
openaire   +1 more source

Macrotransport processes: Brownian tracers as stochastic averagers in effective-medium theories of heterogeneous media

Journal of Statistical Physics, 1991
Macrotransport processes (generalized Taylor dispersion phenomena) constitute coarse-grained descriptions of comparable convective-diffusive-reactive microtransport processes, the latter supposed governed by microscale linear constitutive equations and boundary conditions, but characterized by spatially nonuniform phenomenological coefficients ...
openaire   +1 more source

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