Distinct universality classes of diffusive transport from full counting statistics
Sarang Gopalakrishnan, Alan Morningstar, Romain Vasseur, Vedika Khemani
Abstract
The authors provide an analytic theory of the transport of magnetization in a set of interacting anisotropic spin chains. Even though these are many-body systems with diffusive transport on average, the full distribution that gives rise to that average is far from Gaussian -- with fluctuations that, unlike conventional diffusion, are comparable to the mean. This is an example of how systems with the same hydrodynamics can belong to distinct dynamical universality classes.
Topics & Concepts
Universality (dynamical systems)Statistical physicsPhysicsGaussianAnisotropyRenormalization groupQuantum mechanicsQuantum many-body systemsTheoretical and Computational PhysicsModel Reduction and Neural Networks