Extracting the parton distribution functions evolution equations using the stochastic modeling in the non-equilibrium statistical mechanics

In this paper, using the stochastic modeling of the non-equilibrium statistical mechanics in the momentum space, the evolution equations of the parton distribution functions (PDF) usually used in the hadrons phenomenology are generated. These stochastic modeling PDF evolution equations are the same...

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Bibliographic Details
Published in:Physica A 2020-08, Vol.551, p.124585, Article 124585
Main Authors: Olanj, N., Moradi, E., Modarres, M.
Format: Article
Language:English
Subjects:
formula omitted
Markov processes
Master equation
Non-equilibrium statistical mechanics
Parton distribution function
Stochastic modeling
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Summary:In this paper, using the stochastic modeling of the non-equilibrium statistical mechanics in the momentum space, the evolution equations of the parton distribution functions (PDF) usually used in the hadrons phenomenology are generated. These stochastic modeling PDF evolution equations are the same as those of the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) ones, but they can be obtained by a more simplistic mathematical procedure based on the non-equilibrium statistical mechanics and the theory of Markov processes.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2020.124585