Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production
Abstract
The empirical success of non-extensive Tsallis statistics and multisource thermal models in describing transverse-momentum (pT ) spectra and rapidity distributions in high-energy relativistic collisions highlights a deep connection between expansion geometry, non-extensive thermodynamics, and QCD dynamics. In this work, we establish a theoretical framework showing that the thermofractal structure of QCD phase space provides a direct microscopic foundation for the multisource thermal model. By exploiting the Euler integral representation of non-extensive statistical factors, we demonstrate that a single thermofractal emission source generating q-exponential distributions is mathematically equivalent to a continuous superposition of local Boltzmann thermal sources whose temperature fluctuations follow an inverse-Gamma distribution. Furthermore, we prove that multi- component phenomenological fits with discrete source temperatures represent the exact, optimal Gauss-Laguerre quadrature discretisation of this underlying continuous thermofractal field. We show how this continuous field constrains the temperature parameter space in multisource formulations, matches pQCD hard-scattering power-law asymptotics, and provides a robust vacuum baseline for medium-induced jet quenching and nuclear modification factor (RAA ) calculations.
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BibTeX
@misc{deppman2026thermofractal,
title = {{Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production}},
author = {Airton Deppman and Trambak Bhattacharyya and Maciej Rybczyński and Grzegorz Wilk and Zbigniew Wlodarczyk},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03757},
eprint = {2611.03757},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03757},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production
AU - Airton Deppman
AU - Trambak Bhattacharyya
AU - Maciej Rybczyński
AU - Grzegorz Wilk
AU - Zbigniew Wlodarczyk
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03757
UR - https://arxiv.org/abs/2611.03757
AB - The empirical success of non-extensive Tsallis statistics and multisource thermal models in describing transverse-momentum (pT ) spectra and rapidity distributions in high-energy relativistic collisions highlights a deep connection between expansion geometry, non-extensive thermodynamics, and QCD dynamics. In this work, we establish a theoretical framework showing that the thermofractal structure of QCD phase space provides a direct microscopic foundation for the multisource thermal model. By exploiting the Euler integral representation of non-extensive statistical factors, we demonstrate that a single thermofractal emission source generating q-exponential distributions is mathematically equivalent to a continuous superposition of local Boltzmann thermal sources whose temperature fluctuations follow an inverse-Gamma distribution. Furthermore, we prove that multi- component phenomenological fits with discrete source temperatures represent the exact, optimal Gauss-Laguerre quadrature discretisation of this underlying continuous thermofractal field. We show how this continuous field constrains the temperature parameter space in multisource formulations, matches pQCD hard-scattering power-law asymptotics, and provides a robust vacuum baseline for medium-induced jet quenching and nuclear modification factor (RAA ) calculations.
ER -