27 September 2015 to 3 October 2015
Kobe, Fashion Mart, Japan
Japan timezone

Non-Gaussian fluctuation in stochastic diffusion equation

29 Sept 2015, 16:30
2h
Exhibition space 3 & 4

Exhibition space 3 & 4

Board: 0920
Poster Correlations and Fluctuations Poster Session

Speaker

Mr Hiroshi Horii (University of Tokyo)

Description

We study a description of non-Gaussian fluctuations in stochastic diffusion equation which is defined by introducing a noise term into diffusion equation. Usually, the noise term in stochastic diffusion equation is assumed to be a Gaussian white noise. With this assumption, the fluctuation of the particle number in equilibrium becomes of Gaussian. On the other hand, experimental results on fluctuations of conserved charges in heavy ion collisions suggest that the fluctuations approach the equilibrated one having nonzero non-Gaussian cumulants in the diffusive process in hadronic stage. To describe this diffusive process by stochastic diffusion equation, this formalism has to be modified to have non-Gaussian fluctuations in equilibrium. We investigate modifications of the stochastic diffusion equation to allow for nonzero non-Gaussian fluctuations in equilibrium, and compare the time evolution of non-Gaussian cumulants described by the equation with the one obtained in the diffusion master equation.
On behalf of collaboration: NONE

Primary author

Mr Hiroshi Horii (University of Tokyo)

Co-authors

Masakiyo Kitazawa (Osaka University) Masayuki Asakawa (Osaka University)

Presentation materials