Approaching complexity by stochastic methods: From biological systems to turbulence
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …
(in time or space), sequentially measured set of experimental data, how should one analyze …
A continuum framework for mechanics of fractal materials I: From fractional space to continuum with fractal metric
AS Balankin - The European Physical Journal B, 2015 - Springer
This paper is devoted to the mechanics of fractally heterogeneous media. A model of fractal
continuum with a fractional number of spatial degrees of freedom and a fractal metric is …
continuum with a fractional number of spatial degrees of freedom and a fractal metric is …
Acoustic wave propagation in heterogeneous two-dimensional fractured porous media
This paper addresses an important fundamental question: the differences between wave
propagation in fractured porous media with a uniform matrix (constant bulk modulus) and …
propagation in fractured porous media with a uniform matrix (constant bulk modulus) and …
Turbulencelike behavior of seismic time series
We report on a stochastic analysis of Earth's vertical velocity time series by using methods
originally developed for complex hierarchical systems and, in particular, for turbulent flows …
originally developed for complex hierarchical systems and, in particular, for turbulent flows …
Roughness of undoped graphene and its short-range induced gauge field
We present both numerical and analytical studies of graphene roughness with a crystal
structure including 500× 500 atoms. The roughness can effectively result in a random gauge …
structure including 500× 500 atoms. The roughness can effectively result in a random gauge …
[BOOK][B] Technical challenges of multipollutant air quality management
GM Hidy, JR Brook, KL Demerjian, LT Molina… - 2011 - Springer
In 2007, NARSTO1 was asked to assess the technical challenges of transitioning from an
individual pollutant approach to air quality management to a risk-based approach that (a) …
individual pollutant approach to air quality management to a risk-based approach that (a) …
Development of optimal models of porous media by combining static and dynamic data: the permeability and porosity distributions
We describe a method for the development of the optimal spatial distributions of the porosity
ϕ and permeability k of a large-scale porous medium. The optimal distributions are …
ϕ and permeability k of a large-scale porous medium. The optimal distributions are …
Toward the mechanics of fractal materials: mechanics of continuum with fractal metric
AS Balankin - arxiv preprint arxiv:1409.5829, 2014 - arxiv.org
This paper is devoted to the mechanics of fractal materials. A continuum framework
accounting for the topological and metric properties of fractal domains in heterogeneous …
accounting for the topological and metric properties of fractal domains in heterogeneous …
Evolving disorder and chaos enhances the wave speed of elastic waves
Static or frozen disorder, characterised by spatial heterogeneities, influences diverse
complex systems, encompassing many-body systems, equilibrium and nonequilibrium …
complex systems, encompassing many-body systems, equilibrium and nonequilibrium …
Dynamic renormalization group analysis of propagation of elastic waves in two-dimensional heterogeneous media
We study localization of elastic waves in two-dimensional heterogeneous solids with
randomly distributed Lamé coefficients, as well as those with long-range correlations with a …
randomly distributed Lamé coefficients, as well as those with long-range correlations with a …