Rapidity window dependences of higher order cumulants and diffusion master equation

Understand

We study the rapidity window dependences of higher order cumulants of conserved charges observed in relativistic heavy ion collisions.

• The time evolution and the rapidity window dependence of the non-Gaussian fluctuations are described by the diffusion master equation.
• Analytic formulas for the time evolution of cumulants in a rapidity window are obtained for arbitrary initial conditions.
• We discuss that the rapidity window dependences of the non-Gaussian cumulants have characteristic structures reflecting the non-equilibrium property of fluctuations, which can be observed in relativistic heavy ion collisions with the present detectors.