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- W2022033893 abstract "We discuss thermodynamics of electromagnetic radiation, with $p=(1/3)ensuremath{rho}$ and $Sensuremath{propto}{T}^{3}V$, and of cosmic string loops, with $p=ensuremath{-}(1/3)ensuremath{rho}$ and $Sensuremath{propto}{T}^{ensuremath{-}3}V$, where $p$ stands for pressure, $T$ temperature, $ensuremath{rho}$ energy density, $S$ entropy, and $V$ volume. We write the thermodynamic formalisms under a common framework that illustrates their formal relationship and allows us to go from one to the other through a smooth transformation. From a microscopic perspective, these relations arise from the energy relations $u(ensuremath{lambda})=hc/ensuremath{lambda}$ for the photons of electromagnetic radiation, and $u(l)=({c}^{4}/{a}^{2}G)l$ for cosmic string loops, $a$ being a numerical (dimensionless) constant and $ensuremath{lambda}$ and $l$ the radiation wavelength and the length of a loop; $G$, $c$, and $h$ are the gravitational constant, the speed of light in vacuo, and the Planck constant, respectively. The corresponding thermodynamic behaviors are seen to be connected through a related thermal duality corresponding to the change of $T$ by ${T}^{*}={T}_{c}^{2}/T$, with ${T}_{c}$ a reference temperature related to $h$, $c$, and $G$." @default.
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- W2022033893 date "2011-05-25" @default.
- W2022033893 modified "2023-09-25" @default.
- W2022033893 title "Duality relation between radiation thermodynamics and cosmic string loop thermodynamics" @default.
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- W2022033893 doi "https://doi.org/10.1103/physrevd.83.103526" @default.
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