Entropy production far from equilibrium in a chiral charged plasma in the presence of external electromagnetic fields

Abstract

We report on the time evolution of a charged strongly coupled $N=4$ SYM plasma with an axial anomaly subjected to strong electromagnetic fields. The evolution of this plasma corresponds to a fully backreacted asymptotically AdS${}_5$ solution to the Einstein-Maxwell-Chern-Simons theory. We explore the evolution of the axial current and production of axial charges. As an application we show that after a sufficiently long time both the entropy and the holographic entanglement entropy of a strip-like topology ( both parallel to and transverse to the flow of axial current) grow linearly in time.

Comments: v2: published version, 32 pages. Major changes including: multiple new images, revisions of the body of the text and discussion throughout the work, two additional appendices and further discussion has been included on the minimal surfaces. Comments are always welcome via email