We find the Casimir energy, at finite temperature, for acoustic phonons in a graphene sheet suspended over a rectangular trench, and the corresponding Casimir forces are interpreted as correction terms to the built-in tensions of the graphene. We...

We introduce a useful approach to find asymptotically explicit expressions for the Casimir free energy at large temperature. The resulting expressions contain the classical terms as well as the few first terms of the ...

By calculating a Casimir energy for the acoustic phonons of Graphene, we find some temperature dependent

corrections for the pretension of a Graphene sheet suspended on a trench. We obtain values of the order of few mN/m for these corrections...

the (tensional) isotropy of the rectangular and cylindrical membranes. Als o obtaining the nonzero-temperature Casimir energy, we find relations for the tensions at nonzero temperature....