Microstructure Functions for a Model of Statistically Inhomogeneous Random Media Typeset Using Revt E X 1
نویسنده
چکیده
We propose a model for statistically inhomogeneous two-phase random media , including functionally graded materials, consisting of inhomogeneous fully penetrable (Poisson distributed) spheres. This model can be constructed for any speciied variation of volume fraction and permits one to represent and evaluate certain n-point correlation functions that statistically characterize the microstructure for this model. Unlike the case of statistically homogeneous media, the microstructure functions depend upon the absolute positions of their arguments. However, as with homogeneous random media, this microstructural information will be useful in obtaining rigorous estimates of the eeective properties of such systems.
منابع مشابه
Microstructure functions for a model of statistically inhomogeneous random media
We propose a model for statistically inhomogeneous two-phase random media, including functionally graded materials, consisting of inhomogeneous fully penetrable ~Poisson distributed! spheres. This model can be constructed for any specified variation of volume fraction and permits one to represent and evaluate certain n-point correlation functions that statistically characterize the microstructu...
متن کاملFrom Surface to Random Criticality in Layered Planar Ising Models. Typeset Using Revt E X
A general case of a spatially nonuniform planar layered Ising model, or an equivalent quantum Ising chain, is analysed with an exact functional real space renormalization group. Various surface, finite size, quasiperiodic and random layer (McCoy-Wu) universality classes are obtained and discussed within a single theoretical framework leading to new insights into the nature of random criticality...
متن کاملAging at Criticality in Model C Dynamics Typeset Using Revt E X 1
We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an ǫ = 4 − d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in ǫ. The corresponding fluctu...
متن کاملCollective Particle Flow through Random Media Typeset Using Revt E X 1
A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized by the presence or absence of a steady-state particle current. Below this threshold, transient motion is found in response to an increase in the force, while...
متن کاملExact Solutions of Einstein Equations Typeset Using Revt E X
We use a metric of the type Friedmann-Robertson-Walker to obtain new exact solutions of Einstein equations for a scalar and massive field.The solutions have a permanent or transitory inflationary behavior.
متن کامل