6533b831fe1ef96bd12986e3

RESEARCH PRODUCT

Duality relation between radiation thermodynamics and cosmic string loop thermodynamics

Michele SciaccaMaria Stella MongiovìDavid Jou

subject

PhysicsNuclear and High Energy PhysicsThermodynamicsElementary particleLambdaPlanck constantElectromagnetic radiationGravitational constantCosmic stringEntropy (classical thermodynamics)symbols.namesakeQuantum mechanicssymbolscosmic stringelectromagnetic radiation thermodynamics T-duality thermal duality.Settore MAT/07 - Fisica MatematicaDimensionless quantity

description

We discuss thermodynamics of electromagnetic radiation, with p=(1/3){rho} and S{proportional_to}T{sup 3}V, and of cosmic string loops, with p=-(1/3){rho} and S{proportional_to}T{sup -3}V, where p stands for pressure, T temperature, {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({lambda})=hc/{lambda} for the photons of electromagnetic radiation, and u(l)=(c{sup 4}/a{sup 2}G)l for cosmic string loops, a being a numerical (dimensionless) constant and {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{sub c}{sup 2}/T, with T{sub c} a reference temperature related to h, c, and G.

https://doi.org/10.1103/physrevd.83.103526