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- W1624671797 abstract "The strong-coupling regime of Kardar-Parisi-Zhang surface growth driven by short-ranged noise has an upper critical dimension d_> less or equal to four (where the dynamic exponent z takes the value z (d_>) = 2). To derive this, we use the mapping onto directed polymers with quenched disorder. Two such polymers coupled by a small contact attraction are shown to form a bound state at all temperatures below the roughening temperature of a single polymer. Comparing the singularities of the localization length at and below the critical temperature yields d_> leq 4." @default.
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- W1624671797 date "1996-08-22" @default.
- W1624671797 modified "2023-09-27" @default.
- W1624671797 title "The Upper Critical Dimension of the KPZ Equation" @default.
- W1624671797 hasPublicationYear "1996" @default.
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