6533b7d0fe1ef96bd125ad35

RESEARCH PRODUCT

Spectral energy distribution and generalized Wien's law for photons and cosmic string loops

David JouDavid JouMichele SciaccaMichele SciaccaMaria Stella Mongiovì

subject

PhysicsPhotons cosmic string loops statistical mechanics Wien's law dark energy.PhotonCharacteristic lengthEquation of state (cosmology)Condensed Matter PhysicsAtomic and Molecular Physics and OpticsLoop (topology)Cosmic stringLawSpectral energy distributionConstant (mathematics)Settore MAT/07 - Fisica MatematicaMathematical PhysicsDimensionless quantity

description

Physical objects with energy $u_w(l) \sim l^{-3w}$ with $l$ characteristic length and $w$ a dimensionless constant, lead to an equation of state $p=w\rho$, with $p$ the pressure and $\rho$ the energy density. Special entities with thisbproperty are, for instance, photons ($u = hc/l$, with $l$ the wavelength) with $w = 1/3$, and some models of cosmic string loops ($u =(c^4/aG)l$, with $l$ the length of the loop and $a$ a numerical constant), with $w = -1/3$. Here, we discuss some features of the spectral energy distribution of these systems and the corresponding generalization of Wien's law, which in terms of $l$ has the form $Tl_{mp}^{3w}=constant$, being $l_{mp}$ the most probable size of the mentioned entities.

https://doi.org/10.1088/0031-8949/89/7/075002