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The 1+1 dimensional Kardar-Parisi-Zhang equation: more surprises

In its original version the KPZ equation models the dynamics of an interface bordering a stable phase against a metastable one. Over past years the corresponding two-dimensional field theory has been applied to models with different physics. Out of a wide choice, the spin-spin time correlations for the Heisenberg chain will be discussed at some length, also the equilibrium time-correlations of the conserved fields for 1D fluids. An interesting recent theoretical advance is the construction of the scale-invariant asymptotic theory, the so-called KPZ fixed point.

preprint2020arXivOpen access
Herbert Spohn
cond-mat.stat-mechmath-phmath.MP
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Herbert Spohn

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