Topology Protects Chiral Edge Currents in Stochastic Systems
Physical Review X American Physical Society (APS) 11:3 (2021) 031015
Transient fluctuation-induced forces in driven electrolytes after an electric field quench
New Journal of Physics IOP Publishing 23:7 (2021) 073034
Unsteady dynamics of a classical particle-wave entity.
Physical review. E 104:1-2 (2021) 015106
Abstract:
A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by the waves it generates on each impact. This results in a self-propelled classical particle-wave entity. By using a one-dimensional theoretical pilot-wave model with a generalized wave form, we investigate the dynamics of this particle-wave entity. We employ different spatial wave forms to understand the role played by both wave oscillations and spatial wave decay in the walking dynamics. We observe steady walking motion as well as unsteady motions such as oscillating walking, self-trapped oscillations, and irregular walking. We explore the dynamical and statistical aspects of irregular walking and show an equivalence between the droplet dynamics and the Lorenz system, as well as making connections with the Langevin equation and deterministic diffusion.Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
(2021)
Revisiting the topological classification of defects in crystals
Preprint
Abstract:
A general theory of topological classification of defects is introduced. We illustrate the application of tools from algebraic topology, including homotopy and cohomology groups, to classify defects including several explicit calculations for crystals in ℝ^2, S^2, 2-dimensional cylinder, 2-dimensional annulus, and 2-tori. A set of physically motivated assumptions is formulated in order to justify the classification process and also to expose certain inherent inconsistencies in the considered methodology, particularly for crystal lattices.