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https://doi.org/10.5194/egusphere-2025-3012
https://doi.org/10.5194/egusphere-2025-3012
22 Jul 2025
 | 22 Jul 2025

Evolution of Aerosol Particle Number Size Distribution in Statistical Thermodynamic Equilibrium During New Particle Formation and Growth

Gang Zhao, Ping Tian, Chunxiang Ye, Weili Lin, Yicheng Gao, Jie Sun, Yi Chen, Fengjun Shen, and Tong Zhu

Abstract. The aerosol particle number size distribution (PNSD) is pivotal in estimating the corresponding transport, transformation, environmental impacts, and climate effects. This study explores the statistical thermodynamic characteristics of PNSD during new particle formation (NPF) and growth in clean atmospheric environments. Using the maximum entropy principle, we demonstrate that the PNSD follows the Weibull distribution of n(Dp) = N0Dpq−1 e−αDpq (q is the shape parameter). Field observation and theoretical analysis show that q would evolve from above 6 to 3 during different stages of NPF due to the various strengths of condensation, indicating that the aerosol is in the statistical thermodynamic equilibrium state. The findings provide insights into the underlying physical mechanisms governing aerosol behavior and have implications for model simulations of aerosol evolution.

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Gang Zhao, Ping Tian, Chunxiang Ye, Weili Lin, Yicheng Gao, Jie Sun, Yi Chen, Fengjun Shen, and Tong Zhu

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Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2025-3012', Anonymous Referee #1, 21 Aug 2025
  • RC2: 'Comment on egusphere-2025-3012', Anonymous Referee #2, 11 Sep 2025
  • EC1: 'Editor Comment on egusphere-2025-3012', Joachim Curtius, 12 Sep 2025
Gang Zhao, Ping Tian, Chunxiang Ye, Weili Lin, Yicheng Gao, Jie Sun, Yi Chen, Fengjun Shen, and Tong Zhu
Gang Zhao, Ping Tian, Chunxiang Ye, Weili Lin, Yicheng Gao, Jie Sun, Yi Chen, Fengjun Shen, and Tong Zhu

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Short summary
Understanding aerosol size distribution helps us predict how aerosols move, grow, and interact with the environment and climate. We used "maximum entropy" to demonstrate that the aerosol particle number size distribution would follow the Weibull distribution in the clean atmosphere during the new particle formation and growth process. The observations showed good consistency with the theoretical analysis.
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