Recent Talks
Blog
Interplay between Mathematics and Physics
New Book
Tian Ma & Shouhong Wang, Phase Transition Dynamics, 2nd edition, Springer, XXXI + 757pages, 2019.
The First Edition of this book focuses mainly on the theory and applications of dynamic phase transitions. In this Second Edition, three new chapters, Chapters 7-9, together with revised Sections 1.1, 2.7, 3.1 and 3.2, are added to provide a comprehensive first-principle approach to the following new topics: 1) the nature and essence of physical laws (Section 1.1), 2) dynamical theory of thermodynamical phase transitions (Section 3.1), 3) dynamic theory of fluctuations and critical exponents (Section 3.2), 4) fundamental principles of statistical physics (Chapter 7), 5) quantum mechanism of condensates and high Tc superconductivity (Chapter 8), and 6) topological phase transitions (Chapter 9).
New Papers
Jared Grossman, Evan Halloran, and Shouhong Wang, Cahn-Hilliard Equations on Lattices: Dynamic Transitions and Pattern Formations, Comm. Math Sci., 2025.
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams, Shouhong Wang, Transitions in Stochastic Non-equilibrium Systems: Efficient Reduction and Analysis, arXiv:2202.07031, Journalof Differential Equations, 346(2023), 145-204
Mickael D. Chekroun, Henk Dijkstra, Taylan Şengül, Shouhong Wang, Transitions of zonal flows in a two-layer quasi-geostrophic ocean model, arXiv:2110.05195, Nonlinear Dynamics, 109(2022), 19987-1904