2023/04/21 by Candi Zheng, Yan Wang, Zheng, Candi +3
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classification of discontinuities #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #High-pressure geophysics and materials #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Phase Equilibria and Thermodynamics #Phase transition #Physics #Polynomial #Shock (circulatory) #Shock wave #Statistical physics #Thermodynamics
paper · pdf · doi:10.48550/arxiv.2304.10742
openalex publication_date 2023/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Extended thermodynamics commonly uses polynomial moments to model non-equilibrium transportation, but faces a crisis due to sub-shocks, which are anomalous discontinuities in gas properties when predicting shock waves. The cause of sub-shocks is still unclear, challenging the validity of extended thermodynamics. This paper reveals, for the first time, that sub-shocks arise from intrinsic limitations of polynomials leading to a discontinuous phase transition. Therefore extended thermodynamics necessitates alternative moments beyond polynomials to avoid sub-shocks.