13,866 research outputs found
Response to “Comment on ‘Elasticity of flexible and semiflexible polymers with extensible bonds in the Gibbs and Helmholtz ensembles”’ [J. Chem. Phys. 138, 157101 (2013)]
No abstract: this is a "response" to a Comment
Monte Carlo simulations of single polymer force-extension relations
We present Monte Carlo simulations for studying the statistical mechanics of arbitrarily long single molecules under stretching. In many cases in which the thermodynamic
limit is not satisfied, different statistical ensembles yield different macroscopic force-displacement
curves. In this work we provide a description of the Monte Carlo simulations and discuss in
details the assumptions adopted
Interplay between bending and stretching in carbon nanoribbons
We investigate the bending properties of carbon nanoribbons by combining
continuum elasticity theory and tight-binding atomistic simulations. First, we
develop a complete analysis of a given bended configuration through continuum
mechanics. Then, we provide by tight-binding calculations the value of the
bending rigidity in good agreement with recent literature. We discuss the
emergence of a stretching field induced by the full atomic-scale relaxation of
the nanoribbon architecture. We further prove that such an in-plane strain
field can be decomposed into a first contribution due to the actual bending of
the sheet and a second one due to edge effects.Comment: 5 pages, 6 figure
Tax autonomy, lobbying, and welfare
What degree of tax autonomy should be granted to a taxing authority? Although the policy maker aims at maximizing social welfare, her tax policy may be distorted by the lobbying activity of taxpayers. In this political environment we characterize the conditions under which social welfare can be increased by restricting the set of tax instruments available to the policy maker, i.e. the degree of tax autonomy. We show that full tax autonomy is more costly, in terms both of welfare distortions and lobbying effort, when the lobbies are asymmetric in size, while minimal tax autonomy is more costly when the tax bases are asymmetric across different groups
Quantum harmonic oscillator with superoscillating initial datum
In this paper we study the evolution of superoscillating initial data for the
quantum driven harmonic oscillator. Our main result shows that
superoscillations are amplified by the harmonic potential and that the analytic
solution develops a singularity in finite time. We also show that for a large
class of solutions of the Schr\"odinger equation, superoscillating behavior at
any given time implies superoscillating behavior at any other time.Comment: 12 page
Analysis of an Inverse Problem Arising in Photolithography
We consider the inverse problem of determining an optical mask that produces
a desired circuit pattern in photolithography. We set the problem as a shape
design problem in which the unknown is a two-dimensional domain. The
relationship between the target shape and the unknown is modeled through
diffractive optics. We develop a variational formulation that is well-posed and
propose an approximation that can be shown to have convergence properties. The
approximate problem can serve as a foundation to numerical methods.Comment: 28 pages, 1 figur
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