2020•arXiv (Cornell University)Open access

Bjorken flow in the general frame and its attractor

Masoud Shokri, Farid Taghinavaz

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Abstract

It has been recently claimed that the first order hydrodynamics can be stable and casual in a general frame other than the usually used Landau or Eckart frames. We investigate the implications of the general frame approach for Bjorken flow. We show that certain transport coefficients that are introduced in this approach act as regulators similar to the Muller-Israel-Stewart parameters. The stable first-order hydro in the general frame approach gives rise to a non-linear equation of motion whose solutions decay to an attractor at late-times. We find an analytical approximation form for the attractor and show that its early-time behavior is consistent with the stability and casualty conditions proposed by Bemfica, Disconzi, Noronha, and Kovtun.

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What this paper is about

It has been recently claimed that the first order hydrodynamics can be stable and casual in a general frame other than the usually used Landau or Eckart frames. We investigate the implications of the general frame approach for Bjorken flow. We show that certain transport coefficients that are introduced in this approach act as regulators similar to the Muller-Israel-Stewart parameters. The stable first-order hydro in the general frame approach gives rise to a non-linear equation of motion whose solutions decay to an attractor at late-times. We find an analytical approximation form for the attractor and show that its early-time behavior is consistent with the stability and casualty conditions proposed by Bemfica, Disconzi, Noronha, and Kovtun.

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Available abstract

It has been recently claimed that the first order hydrodynamics can be stable and casual in a general frame other than the usually used Landau or Eckart frames. We investigate the implications of the general frame approach for Bjorken flow. We show that certain transport coefficients that are introduced in this approach act as regulators similar to the Muller-Israel-Stewart parameters. The stable first-order hydro in the general frame approach gives rise to a non-linear equation of motion whose solutions decay to an attractor at late-times. We find an analytical approximation form for the attractor and show that its early-time behavior is consistent with the stability and casualty conditions proposed by Bemfica, Disconzi, Noronha, and Kovtun.

Key concepts: Attractor, Casual, Frame (networking), Flow (mathematics), Stability (learning theory), Order (exchange), Physics, Applied mathematics

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