23,761 research outputs found
Measuring the Double Layer Capacitance of Electrolytes with Varied Concentrations
When electric potentials are applied from an electrolytic fluid to a metal, a double layer capacitor, Cdl, develops at the interface. The layer directly at the interface is called the Stern layer and has a thickness equal to roughly the size of the ions in the fluid. The next layer, the diffuse layer, arises from the gathering of like charges in the Stern layer. This layer is the distance needed for ionic concentrations to match the bulk fluid. This distance, called the Debye length, Ξ», depends on the square root of the electrolyte concentration. To study the properties of the diffuse layer, we measure C using different concentrations of electrolyte solutions in a cylindrical capacitor system we machined
Comment on: Measuring non-Hermitian operators via weak values [A.K.Pati, U Singh and U. Sinha, Phys.Rev.A92,052120 (2015), arXiv:1406.3007]
We notice that the 5-parameter matrix and the corresponding wave functions
,fail to satisfy the eigenvalue condition or relation reported earlier in this
journal in ,Phys.Rev. A 92,052120(2015) .Comment: English corrections only and typographical mistake
A short proof of the phase transition for the vacant set of random interlacements
The vacant set of random interlacements at level , introduced in
arXiv:0704.2560, is a percolation model on , which
arises as the set of sites avoided by a Poissonian cloud of doubly infinite
trajectories, where is a parameter controlling the density of the cloud. It
was proved in arXiv:0704.2560 and arXiv:0808.3344 that for any there
exists a positive and finite threshold such that if then the
vacant set percolates and if then the vacant set does not percolate. We
give an elementary proof of these facts. Our method also gives simple upper and
lower bounds on the value of for any .Comment: 11 pages, 1 figure; Title of paper change
Some studies on quantum equivalents of non-commutative operators via commutating eigenvalue relation: PT-symmetry
We study quantum equivalents of non-commutative operators in quantum
mechanics. Any matrix "" satisfying the non-commuting relation
with "", can be used via to reproduce eigenvalues of "". This
universality relation is also equally valid for any matrix in any branch of
physical or social science and also any operator involving co-ordinate or
momentum. Pictorially this is represented in fig. 1. Many interesting
models including logarithmic potential have been considered.Comment: Since new submissions are not allowed, I have replaced my previous
article, which may kindly be allowe
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