Duality relation between radiation thermodynamics and cosmic string loop thermodynamics

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.103526· OSTI ID:21502569

Jou, D ^[1]; Mongiovi, M S ^[2]; Sciacca, M ^[3]

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1. Departament de Fisica, Universitat Autonoma de Barcelona, 08193 Bellaterra, Catalonia (Spain)
2. Dipartimento di Metodi e Modelli Matematici, Universita di Palermo, 90128 Palermo (Italy)
3. Dipartimento di Sistemi Agro-Ambientali, Universita di Palermo, 90128 Palermo (Italy)

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.

• OSTI ID: 21502569
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.103526; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
DUALITY
ELECTROMAGNETIC RADIATION
ENERGY DENSITY
ENTROPY
PHOTONS
STRING MODELS
THERMODYNAMICS
TRANSFORMATIONS
VELOCITY
WAVELENGTHS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
RADIATIONS
THERMODYNAMIC PROPERTIES