On the mass-coupling relation of multi-scale quantum integrable models

We determine exactly the mass-coupling relation for the simplest multi-scale quantum integrable model, the homogenous sine-Gordon model with two independent mass-scales. We first reformulate its perturbed coset CFT description in terms of the perturbation of a projected product of minimal models. This representation enables us to identify conserved tensor currents on the UV side. These UV operators are then mapped via form factor perturbation theory to operators on the IR side, which are characterized by their form factors. The relation between the UV and IR operators is given in terms of the sought-for mass-coupling relation. By generalizing the $\Theta$ sum rule Ward identity we are able to derive differential equations for the mass-coupling relation, which we solve in terms of hypergeometric functions. We check these results against the data obtained by numerically solving the thermodynamic Bethe Ansatz equations, and find a complete agreement.Comment: 55 pages, 9 figures, reference added, minor changes, published versio

On the mass-coupling relation of multi-scale quantum integrable models

We determine exactly the mass-coupling relation for the simplest multi-scale quantum integrable model, the homogenous sine-Gordon model with two independent mass-scales. We first reformulate its perturbed coset CFT description in terms of the perturbation of a projected product of minimal models. This representation enables us to identify conserved tensor currents on the UV side. These UV operators are then mapped via form factor perturbation theory to operators on the IR side, which are characterized by their form factors. The relation between the UV and IR operators is given in terms of the sought-for mass-coupling relation. By generalizing the Θ sum rule Ward identity we are able to derive differential equations for the mass-coupling relation, which we solve in terms of hypergeometric functions. We check these results against the data obtained by numerically solving the thermodynamic Bethe Ansatz equations, and find a complete agreement.othe

Electrochemical Behavior of (C2F)n in Aqueous Alkaline Solution

The e1ectrochemical behavior of a (C2F)n e1ectrode in an alkaline solution and the properties of its discharge products were investigated. (C2F)n treated with a concentrated KOH solution at 25℃ was effective as a cathodic active material, since it had electrocherniclly active surface as a result of weakend C-F bond produced by the reaction with the solution. Conductive carbon was detected in the discharge products from X-ray diffraction patterns, and fluoride ion concentration in an alkaline electrolyte was directly proportional to the quan- tity of discharged e1ectricity. It also can be assurned that one of the rate determing steps of the electrode reaction is the transfer of fluorine ion into the solution phase through the products.departmental bulletin pape

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Widening Conflicts in the Post-Cold War Era

Widening Conflicts in the Post-Cold War Er

Experimental and MD-derived secondary structure propensities of p53TAD.

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Graph theoretical analysis of inter-residual interactions and transient interaction networks of p53TAD and Pup.

(A) Clusters consisting of 2 nodes (residues) dominate in the MD structures of p53TAD and Pup (without outlier trajectories), followed by clusters of size 3, etc. (B) The majority of the unique clusters are sparse graphs, with their number of edges much smaller than the number of edges in complete graphs growing with N(N-1)/2 where N is the number of nodes. The average edge-to-node ratio is 1.54 (slope indicated by solid black line), indicating predominantly tree-like graphs that sometimes have a few additional edges (cross-linked branches).</p

MD and REMD simulation details for p53TAD and Pup.

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Most frequent pairwise residue contacts in Pup from MD simulations.

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Number of close contacts formed by each residue during MD simulations of p53TAD and Pup (without outliers) along with average residue-type specific contact propensities.

For each residue, the number of contacts was normalized by the number of snapshots for (A) p53TAD and (B) Pup. Residues with their number of contacts per snapshot below 0.5 are depicted in blue, 0.5–1.5 in black, 1.5–2 in yellow, and above 2 in red. Primary sequences of p53TAD and Pup are given at the bottom and colored as in Panels A, B. Average contact propensities according to amino-acid residue type, which is the number of contacts per snapshot averaged over all residues of the same type, are shown for (C) p53TAD and (D) Pup. Error bars correspond to the standard deviations among different residues of the same type.</p