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It is clear that these can be proved directly for fluids and magnetic systems. The translation of the result of Theorem I for fluids becomes 2≥χ T (χ (0) T )−1 ≥1, where χ T is the isothermal compressibility of the fluid and χ (0) T the same quantity for a perfect gas having the same density and temperature as the fluid. The application of our inequality to fluids and magnetic systems will be considered elsewhere.
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Gupta, V., Singh, V. Fluctuation theorems for the Feynman fluid model of inclusive reactions. Lett. Nuovo Cimento 7, 775–778 (1973). https://doi.org/10.1007/BF02728145
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DOI: https://doi.org/10.1007/BF02728145