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Linear dynamical stability and the laws of thermodynamics

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arxiv 2407.07939 v1 pith:W6LACGI7 submitted 2024-07-10 hep-th cond-mat.quant-gascond-mat.stat-mechcond-mat.str-elhep-ph

Blaise Goutéraux , Eric Mefford This is my paper · ORCID
classification hep-thcond-mat.quant-gascond-mat.stat-mechcond-mat.str-elhep-ph
keywords dynamicallawslinearstabilitysystemsthermodynamicsargumentbroken
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We show that the dynamical stability under linear perturbations of interacting systems in the hydrodynamic regime follows from the first and the second laws of thermodynamics. Our argument extends to systems with spontaneously or softly broken symmetries and in the presence of magnetic fields.

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  1. Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory at finite density

    hep-th 2024-12 conditional novelty 6.0 of 10

    At equal R-charge chemical potentials, the holographic AdS5-Reissner-Nordström black brane has a negative R-charge diffusion coefficient below a critical μ/T, making the low-temperature phase unstable.

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