Chinese Physics C > 2008, Vol. 32 > Issue(1): 13-17 DOI: 10.1088/1674-1137/32/1/003

Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering

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The scaling and additivity properties of R\'enyi entropy in rapidity space of the instanton final state (IFS) and current jet identified by the $r$-sorting method from the QCDINS Monte Carlo event sample are studied. Asymptotic scaling of R\'enyi entropy $H_2$ is observed for the IFS while the $H_2$ for current jet tends to saturation with the decreasing of phase space scale. Furthermore, it is found that the additivity of $H_2$ holds well for IFS in narrow rapidity window at different positions. These results indicate that the IFS produced in the instanton-induced process of deep inelastic scattering has reached local equilibrium.

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Weibing Deng , Ding Lu , Jiying Zhang , Mingmei Xu , Levchenko Boris and Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering[J]. Chinese Physics C, 2008, 32(1): 13-17. doi: 10.1088/1674-1137/32/1/003

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Received: 2007-02-07
Revised: 2007-06-01

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering

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","");" href="javascript:void(0);">Ding Lu
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Corresponding author:,

Received Date:2007-02-07
Accepted Date:2007-06-01
Available Online:2008-01-05

Abstract:The scaling and additivity properties of R\'enyi entropy in rapidity space of the instanton final state (IFS) and current jet identified by the $r$-sorting method from the QCDINS Monte Carlo event sample are studied. Asymptotic scaling of R\'enyi entropy $H_2$ is observed for the IFS while the $H_2$ for current jet tends to saturation with the decreasing of phase space scale. Furthermore, it is found that the additivity of $H_2$ holds well for IFS in narrow rapidity window at different positions. These results indicate that the IFS produced in the instanton-induced process of deep inelastic scattering has reached local equilibrium.