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

Abstract

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.

arXiv comment15 pages, 5 figures, StatPhys27, added references, typos

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Cited by in corpus (6)

• Finite-temperature transport in one-dimensional quantum lattice models
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
• Kinetic roughening and nontrivial scaling in the Kardar-Parisi-Zhang growth with long-range temporal correlations
• Numerical Study of the Thermodynamic Uncertainty Relation for the KPZ-Equation
• The Two Scaling Regimes of the Thermodynamic Uncertainty Relation for the KPZ-Equation