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<p>We examine the concept of temperature in non-equilibrium steady states. Using the D3-D5 model of gauge/gravity duality, we investigate spontaneous symmetry breaking in a relativistic (2 + 1)-dimensional defect moving at constant velocity within a (3 + 1)-dimensional heat bath. We find that the dependence of the order parameter on both the heat bath temperature and the defect velocity can be captured by a single variable — the proper effective temperature — for the moving defect. Our results suggest that the proper effective temperature is an essential parameter for a class of relativistic non-equilibrium steady states.</p>

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Proper effective temperature and order parameters in relativistic non-equilibrium steady states

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月8日

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  • Shin Nakamura,
  • Fuminori Okabayashi

摘要

We examine the concept of temperature in non-equilibrium steady states. Using the D3-D5 model of gauge/gravity duality, we investigate spontaneous symmetry breaking in a relativistic (2 + 1)-dimensional defect moving at constant velocity within a (3 + 1)-dimensional heat bath. We find that the dependence of the order parameter on both the heat bath temperature and the defect velocity can be captured by a single variable — the proper effective temperature — for the moving defect. Our results suggest that the proper effective temperature is an essential parameter for a class of relativistic non-equilibrium steady states.