6533b821fe1ef96bd127c496
RESEARCH PRODUCT
What is a physical measure of spatial inhomogeneity comparable to the mathematical approach?
R. PiaseckiZbigniew Garncareksubject
Length scaleStatistical Mechanics (cond-mat.stat-mech)Dynamical systems theoryComputationMathematical analysisConfiguration entropyFOS: Physical sciencesCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsCorrelationLinear mapTheoretical physicsEntropy (information theory)InstrumentationCondensed Matter - Statistical MechanicsMathematicsdescription
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 with periodically repeated initial arrangement of point objects the value of the measure is conserved. This property allows for computation of the measure at every length scale. Its remarkable sensitivity to the deviation (per cell) from a possible maximally uniform object distribution for the length scale considered is comparable to behaviour of strictly mathematical measure h introduced by Garncarek et al. in [2]. Computer generated object distributions reveal a correlation between the two measures at a given length scale for all configurations as well as at all length scales for a given configuration. Some examples of complementary behaviour of the two measures are indicated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-03-01 | The European Physical Journal Applied Physics |