pith. sign in

For the first term in Eq.(24), the factorλ(ψ⋆)actually impliesψ ⋆ >0, since this configuration requires a Poisson point at the intersection(q⋆, ψ⋆)

= Z ∞ −∞ dq′ ⋆ Z ∞ ψmin(q′⋆) dψ⋆ λ(ψ⋆)δD(q′ 1 −q ′ ⋆)δD(q′ 2 −q ′ ⋆) +xθ(q ′ 1 < q ′ ⋆)θ(q′ 2 > q ′ ⋆)ψ−(q′ 1)αψ+(q′ 2)α e−I,(24) 7 with ψ−(q′) = max 0, ψ⋆ + 1 2 q′ ⋆ + x 2 2 − 1 2

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Burgers dynamics for Poisson point process initial conditions of the Weibull class

cond-mat.stat-mech · 2025-12-10 · unverdicted · novelty 7.0

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 ∞.

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  • Burgers dynamics for Poisson point process initial conditions of the Weibull class cond-mat.stat-mech · 2025-12-10 · unverdicted · none · ref 1

    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 ∞.