Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-04-05
Phys.Rev. A73 (2006) 052105
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, 1 figure, REVTeX4 file. Version to appear in Physical Review A
Scientific paper
10.1103/PhysRevA.73.052105
This work investigates how a conical singularity can affect the specific heat of systems. A free nonrelativistic particle confined to the lateral surface of a cone -- conical box -- is taken as a toy model. Its specific heat is determined as a function of the deficit angle and the temperature. For a vanishing deficit angle, the specific heat is that of a particle in a flat disk where a characteristic temperature separates quantum and classical behaviors, as usual. By increasing the deficit angle the characteristic temperature increases also, and eventually another characteristic temperature (which does not depend on the deficit angle) arises. When the cone gets sufficiently sharp, at low and intermediate temperatures the azimuthal degree of freedom is suppressed. At low temperatures the specific heat varies discontinuously with the deficit angle. Connections between certain theorems regarding common zeros of the Bessel functions and this discontinuity are reported.
Jr.
Moreira E. S.
Oliveira Ednilton S.
No associations
LandOfFree
Specific heat of a particle on the cone does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Specific heat of a particle on the cone, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Specific heat of a particle on the cone will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-418499