Glassy Solutions of the Kardar-Pasrisi-Zhang Equation

It is shown that the mode-coupling equations for the strong-coupling limit of the KPZ equation have a solution for d>4 such that the dynamic exponent z is 2 (with possible logarithmic corrections) and that there is a delta function term in the height correlation function = (A/k^{d+4-z}) \delta(w...

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Hauptverfasser:	Moore, M. A, Doherty, T. Blum J. P, Marsili, M, Bouchaud, J-P, Claudin, P
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Disordered Systems and Neural Networks Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Physics - Other Condensed Matter Physics - Quantum Gases Physics - Soft Condensed Matter Physics - Statistical Mechanics Physics - Strongly Correlated Electrons Physics - Superconductivity
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Zusammenfassung:	It is shown that the mode-coupling equations for the strong-coupling limit of the KPZ equation have a solution for d>4 such that the dynamic exponent z is 2 (with possible logarithmic corrections) and that there is a delta function term in the height correlation function = (A/k^{d+4-z}) \delta(w/k^z) where the amplitude A vanishes as d -> 4. The delta function term implies that some features of the growing surface h(x,t) will persist to all times, as in a glassy state.
DOI:	10.48550/arxiv.cond-mat/9407076