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Journal Articles Physics Letters B Year : 2014

## Continuous description of fluctuating eccentricities

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Jean-Paul Blaizot
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Jean-Yves Ollitrault

#### Abstract

We consider the initial energy density in the transverse plane of a high energy nucleus-nucleus collision as a random field $\rho^{(x)}$, whose probability distribution $P[\rho]$, the only ingredient of the present description, encodes all possible sources of fluctuations. We argue that it is a local Gaussian, with a short-range 2-point function, and that the fluctuations relevant for the calculation of the eccentricities that drive the anisotropic flow have small relative amplitudes. In fact, this 2-point function, together with the average density, contains all the information needed to calculate the eccentricities and their variances, and we derive general model independent expressions for these quantities. The short wavelength fluctuations are shown to play no role in these calculations, except for a renormalization of the short range part of the 2-point function. As an illustration, we compare to a commonly used model of independent sources, and recover the known results of this model.

#### Domains

Physics [physics] Nuclear Theory [nucl-th]

### Dates and versions

cea-00996168 , version 1 (03-09-2020)

### Identifiers

• HAL Id : cea-00996168 , version 1
• ARXIV :

### Cite

Jean-Paul Blaizot, Wojciech Broniowski, Jean-Yves Ollitrault. Continuous description of fluctuating eccentricities. Physics Letters B, 2014, 738, pp.166-171. ⟨cea-00996168⟩

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