Using geometric scaling and Glauber-Gribov nuclear gluon distributions, the authors find that the QCD dynamical entropy in proton-nucleus collisions is essentially independent of the atomic mass number A, while the entropy density scales with the nuclear cross-sectional area.
Second law of thermodynamics for relativistic fluids formulated with relative entropy
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abstract
The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the relative entropy of a quantum state with respect to equilibrium states is considered and its monotonicity property with respect to an open quantum system evolution is used to obtain second law-like inequalities. We discuss this first for generic quantum systems in contact with a thermal bath and subsequently turn to a formulation suitable for the description of local dynamics in a relativistic quantum field theory. A local version of the second law similar to the one used in relativistic fluid dynamics can be formulated with relative entropy or even relative entanglement entropy in a space-time region bounded by two light cones. We also give an outlook towards isolated quantum field theories and discuss the role of entanglement for relativistic fluid dynamics.
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Investigating QCD Dynamical Entropy in high-energy nuclear collisions
Using geometric scaling and Glauber-Gribov nuclear gluon distributions, the authors find that the QCD dynamical entropy in proton-nucleus collisions is essentially independent of the atomic mass number A, while the entropy density scales with the nuclear cross-sectional area.