Introduction to Vortex Filaments in Equilibrium

Timothy D. Andersen received his Ph.D. in Mathematics in 2007. His research interests include Feynman-Kac path integral approaches to vortex filaments, plasmas, and biochemical electrostatics, quantum interpretation problem and the arrow of time, and dark matter and the Dirac equation. Chjan Lim, Ph.D., is a professor of Mathematical Sciences at Rensselaer Polytechnic Institute. His research areas include statistical physics and turbulence, computational science and vortex dynamics, symmetric dynamical systems, and combinational matrix theory.

• Introduction.- Vortex Filaments and Where to Find Them.- Statistical Mechanics.- Parallel Filaments.- Curved Filaments.- Quantum Fluids.- Plasmas.- Computational Methods.- Quasi 2-D  Monte Carlo in Deep Ocean Convection.- Conclusion.

"This book is devoted to the study of vortex filaments in equilibrium, quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. ... The text is useful for both researchers and students." (Maria Christina Mariani, zbMATH 1327.82001, 2016) "This is a short but excellent research monograph that would be useful for the advanced study of and future research on vortex dynamics and its modern applications. I strongly recommend it to anyone interested in analytical and computational research on vortex filaments as well as quantum vortices and their applications. It would be suitable as a resource book for graduate-level research seminars for advanced graduate students and research professionals." (L. Debnath, Mathematical Reviews, May, 2015)