Universal spectra of quasirandom objects produced by off-equilibrium space divisions

Physics – General Physics

Scientific paper

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Random Processes, Spatial Distribution, Spectral Methods, Computerized Simulation, Conservation Laws, Correlation, Power Spectra, Star Distribution

Scientific paper

The power spectra of quasi-random objects produced by self-similar space division are investigated. Two ways of performing the space division are examined. In one case, space divisions are made so that the boundaries of subspaces remain as far apart from each other as possible (the repulsive case). In the other case, divisions are made so that the boundaries of subspaces remain close to each other (the attractive case). In both cases the divisions are accompanied by randomness. This approach is used to examine two problems: (1) the correlation among droplets or grains in a thermodynamically unstable system and (2) the correlation among stars or galaxies in the universe.

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