Recent years have seen much development in analyzing the structure of relativistic hydrodynamics. In this proceeding, some developments are highlighted including issues related to pseudo-gauge transformations and spin

A bstract In this article we discuss the impact of conservation laws, specifically U(1) charge and energy conservation, on scrambling dynamics, especially approach to late time fully scrambled state. As a model, consider d + 1 dimensional ( ≥ 2) holographic conformal field theory with Einstein gravity dual. Using dictionary, calculate out-of-time-order-correlators (OTOCs) that involve conserved...

We study normal forms of scalar integrable dispersive (not necessarily Hamiltonian) conservation laws, via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrized by infinitely many arbitrary functions that can be identified with the coefficients of the quasi-linear part of the equation. Moreover, in general, we conjecture that two...

We examine conservation laws, typically the conservation of linear momentum, in the light of a recent successful formulation of fermions as Kerr-Newman type Black Holes, which are created uctuationally from a background Zero Point Field. We conclude that these conservation laws are to be taken in the spirit of thermodynamic laws. Conservation Laws, as is universally known, play an important rol...

In keeping with the current interest in tests of conservation laws, we collect together a Table of experimental limits on all weak and electromagnetic decays, mass differences, and moments, and on a few reactions, whose observation would violate conservation laws. The Table is given only in the full Review of Particle Physics, not in the Particle Physics Booklet. For the benefit of Booklet read...

We prove that potential conservation laws have characteristics depending only on local variables if and only if they are induced by local conservation laws. Therefore, characteristics of pure potential conservation laws have to essentially depend on potential variables. This statement provides a significant generalization of results of the recent paper by Bluman, Cheviakov and Ivanova [J. Math....

Starting from the most general formulation of stochastic thermodynamics—i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs—, we de€ne a procedure to identify the conservative and the minimal set of nonconservative contributions in the entropy production. Œe former is expressed as the di‚erence between changes caused by tim...