Burgers dynamics with Weibull-class Poisson point process initial conditions produces self-similar evolution and explicit analytical expressions for velocity distributions, void and shock multiplicities, and correlation functions with stretched-exponential tails whose exponents range from 1 to ∞.
Valageas, Ballistic aggregation for one-sided Brownian initial velocity, Physica A: Statistical Mechanics and its Appli- cations388, 1031 (2009)
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Burgers dynamics for Poisson point process initial conditions of the Weibull class
Burgers dynamics with Weibull-class Poisson point process initial conditions produces self-similar evolution and explicit analytical expressions for velocity distributions, void and shock multiplicities, and correlation functions with stretched-exponential tails whose exponents range from 1 to ∞.