30 citations · 260 across the 29 of their papers we have counts for
22 papers · 1 filter
A modified cellular automaton using activation and inhibition regions geometrically compatible with biaxial anisotropy
R. Piasecki, W. Olchawa, D. Fraczek
Young's cellular automaton, recently applied to study the spatiotemporal evolution of binary patterns for favorable/hostile environments, has now been modified from a different poi…
Anisotropic ferromagnet with two spins per site
R. Piasecki
Green function diagrammatic technique is used to investigate a model ferromagnet in the case, when the effective spin at a site is compounded of two anisotropically interacting ele…
Low-cost approximate reconstructing of heterogeneous microstructures
W. Olchawa, R. Piasecki, R. Wiśniowski +1
We propose an approximate reconstruction of random heterogeneous microstructures using the two-exponent power-law (TEPL). This rule originates from the entropic descriptor (ED) tha…
Entropic descriptor based reconstruction of three-dimensional porous microstructures using a single cross-section
D. Frączek, W. Olchawa, R. Piasecki +1
The simple entropic method to statistical reconstructing of heterogeneous three-dimensional media from a single two-dimensional image is briefly reported. We apply the entropic des…
On multi-scale percolation behaviour of the effective conductivity for the lattice model with interacting particles
R. Wiśniowski, W. Olchawa, D. Frączek +1
Recently, the effective medium approach using 2x2 basic cluster of model lattice sites to predict the conductivity of interacting droplets has been presented by Hattori et al. To m…
On multi-scale percolation behaviour of the effective conductivity for the lattice model
W. Olchawa, R. Wiśniowski, D. Frączek +1
Macroscopic properties of heterogeneous media are frequently modelled by regular lattice models, which are based on a relatively small basic cluster of lattice sites. Here, we exte…
Speeding up of microstructure reconstruction: II. Application to patterns of poly-dispersed islands
W. Olchawa, R. Piasecki
We report a fast, efficient and credible statistical reconstruction of any two-phase patterns of islands of miscellaneous shapes and poly-dispersed in sizes. In the proposed multi-…
Decomposable multiphase entropic descriptor
D. Fraczek, R. Piasecki
To quantify degree of spatial inhomogeneity for multiphase materials we adapt the entropic descriptor (ED) of a pillar model developed to greyscale images. To uncover the contribut…
Speeding up of microstructure reconstruction: I. Application to labyrinth patterns
R. Piasecki, W. Olchawa
Recently, entropic descriptors based the Monte Carlo hybrid reconstruction of the microstructure of a binary/greyscale pattern has been proposed (Piasecki 2011 Proc. R. Soc. A 467…
Microstructure reconstruction using entropic descriptors
R. Piasecki
A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed…
Statistical mechanics characterization of spatio-compositional inhomogeneity
Ryszard Piasecki
On the basis of a model system of pillars built of unit cubes, a two-component entropic measure for the multiscale analysis of spatio-compositional inhomogeneity is proposed. It qu…
Entropic descriptor of a complex behaviour
R. Piasecki, A. Plastino
We propose a new type of entropic descriptor that is able to quantify the statistical complexity (a measure of complex behaviour) by taking simultaneously into account the average…
Versatile entropic measure of grey level inhomogeneity
R. Piasecki
The entropic measure for analysis of grey level inhomogeneity (GLI) is proposed as a function of length scale. It allows us to quantify the statistical dissimilarity of the actual…
A generalization of the inhomogeneity measure for point distributions to the case of finite size objects
Ryszard Piasecki
The statistical measure of spatial inhomogeneity for n points placed in chi cells each of size kxk is generalized to incorporate finite size objects like black pixels for binary pa…
Extended quasi-additivity of Tsallis entropies
Ryszard Piasecki
We consider statistically independent non-identical subsystems with different entropic indices q1 and q2. A relation between q1, q2 and q' (for the entire system) extends a power l…
Duality and spatial inhomogeneity
R. Piasecki, A. Plastino
Within the framework on non-extensive thermostatistics we revisit the recently advanced q-duality concept. We focus our attention here on a modified q-entropic measure of the spati…
Inhomogeneity and complexity measures for spatial patterns
R. Piasecki, M. T. Martin, A. Plastino
In this work we examine two different measures for inhomogeneity and complexity that are derived from nonextensive considerations a' la Tsallis. Their performance is then tested on…
Detecting self-similarity in surface microstructures
Ryszard Piasecki
The relative configurational entropy per cell as a function of length scale is a sensitive detector of spatial self-similarity. For Sierpinski carpets the equally separated peaks o…
Coarsened Lattice Spatial Disorder in the Thermodynamic Limit
R. Piasecki, A. Czainski
In this Rapid Research Note the application of recently introduced [Physica A 277 (2000) 157] entropic measure S_Delta of spatial disorder for systems of finite-sized objects is pr…
Entropic measure of spatial disorder for systems of finite-sized objects
Ryszard Piasecki
We consider the relative configurational entropy per cell S_Delta as a measure of the degree of spatial disorder for systems of finite-sized objects. It is highly sensitive to devi…
What is a physical measure of spatial inhomogeneity comparable to the mathematical approach?
Z. Garncarek, R. Piasecki
A linear transformation f(S) of configurational entropy with length scale dependent coefficients as a measure of spatial inhomogeneity is considered. When a final pattern is formed…
Coarsened Lattice Model for Random Granular Systems
Ryszard Piasecki
In random systems consisting of grains with size distributions the transport properties are difficult to explore by network models. However, the concentration dependence of effecti…