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Experimental Protocol for Manipulating Plant-induced Soil Heterogeneity
Published on: March 13, 2014
Long-range interaction and heterogeneity yield a different kind of critical phenomenon
1School of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel.
Abstract:
DNA denaturation, wetting in two dimensions, depinning of a flux line, and other problems are known to map onto a phase transition with effective long-range interaction. In a disordered system the latter yields a giant, nonuniversal, temperature-dependent critical index, and macroscopic fluctuations at a finite distance from the critical temperature. In the vicinity of the critical region the Gibbs distribution is invalid, and thermodynamics must be calculated from first principles. There are no fluctuations above the critical temperature.
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