Entropy production in 2D $\lambda {\varphi }^4$ theory in the Kadanoff-Baym approach

Abstract

We study non-equilibrium quantum dynamics of the single-component scalar field theory in 1+1 space-time dimensions on the basis of the Kadanoff-Baym equation including the next-to-leading-order (NLO) skeleton diagrams. As an extension of the non-relativistic case, we derive relativistic kinetic entropy at the first order in the gradient expansion of the Kadanoff-Baym equations. The derived entropy satisfies the H theorem. Next we perform numerical simulations in spatially homogeneous configurations to investigate thermalization properties of the system by evaluating the system entropy. We find that at later times the kinetic entropy increases approaching the equilibrium value, although the limited time interval in the early stage invalidates the use of it.

20 pages, 13 figures

References in corpus (6)

• The Unstable Glasma
• Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
• Ultraviolet avalanche in anisotropic non-Abelian plasmas
• Expanding color flux tubes and instabilities
• Comparison of Boltzmann Equations with Quantum Dynamics for Scalar Fields
• Thermalization of Color Gauge Fields in High Energy Heavy Ion Collisions

Cited by in corpus (4)

• Quantum quench dynamics
• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism
• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion