Universality in many-body driven systems with an umbilic point
arXiv:2504.04304 · doi:10.1088/1742-5468/adefaf
Abstract
We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the properties of fluctuations at a special umbilic point where the characteristic velocities coincide. At large space and time scales, fluctuations are described by a system of stochastic Burgers equations studied recently in [13]. Our data suggest coupling-dependent scaling functions and, even more surprisingly, coupling-dependent dynamical scaling exponents, distinct from KPZ scaling exponent typical for surface growth processes.
v2: Added numerical simulations of Burgers system, references, comparison against numerical data of Ref. [10]
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