Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Jun 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989stin...9014172a&link_type=abstract
Unknown
Physics
Condensed Matter
Statistical Mechanics
Cosmology, Polymer Physics, Scaling Laws, Statistical Analysis, String Theory, Astronomical Models, Monte Carlo Method, Phase Diagrams, Simulation, Statistical Mechanics
Scientific paper
The configurational critical behavior of a statistical ensemble of strings on a lattice with periodic boundary conditions by a model of polymers at intermediate concentrations is described. The concentration concept is introduced and its phase diagram is presented for different scaling regions. Des Cloizeaux's law for strings is analyzed to gain insight into the intrinsic nature of their correlations. Using power laws without any free parameter of dynamical theories, the two-point correlation function for strings in terms of des Cloizeaux's law for polymers is characterized. An exact prediction of the power law exponent of the self-similarity distribution of matter on large-scale distances into the universe is given and the detailed numerical analysis by a Monte Carlo simulation is reported.
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