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

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arxiv 2502.19157 v2 pith:SIEHJMQK submitted 2025-02-26 hep-th cond-mat.stat-mechnucl-th

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

classification hep-th cond-mat.stat-mechnucl-th
keywords temperaturedefecteffectivenon-equilibriumproperrelativisticstatessteady
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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.

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