10,591 research outputs found
Hidden symmetries in deformed microwave resonators
We explain the ``Hidden symmetries'' observed in wavefunctions of deformed
microwave resonators in recent experiments.We also predict that other such
symmetries can be seen in microwave resonators.Comment: 2 pages, revised and expanded versio
Inequivalence of Statistical Ensembles in Single Molecule Measurements
We study the role of fluctuations in single molecule experimental
measurements of force-extension curves. We use the Worm Like Chain (WLC) model
to bring out the connection between the Helmholtz ensemble characterized by the
Free Energy and the Gibbs ensemble characterized by the Free Energy . We
consider the rigid rod limit of the WLC model as an instructive special case to
bring out the issue of ensemble inequivalence. We point out the need for taking
into account the free energy of transition when one goes from one ensemble to
another. We also comment on the ``phase transition'' noticed in an isometric
setup for semiflexible polymers and propose a realization of its thermodynamic
limit. We present general arguments which rule out non-monotonic
force-extension curves in some ensembles and note that these do not apply to
the isometric ensemble.Comment: to appear in Physical Review
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