Results 31 to 40 of about 3,790 (213)
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Opuscula Mathematica, 2021 Multiscale periodic homogenization is extended to an Orlicz-Sobolev setting. It is shown by the reiteraded periodic two-scale convergence method that the sequence of minimizers of a class of highly oscillatory minimizations problems involving convex functionals, converges to the minimizers of a homogenized problem with a suitable convex function.
Joel Fotso Tachago +2 more
openaire +4 more sources
Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor
Contributions to Plasma Physics, EarlyView.ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias +2 more
wiley +1 more source
Long strings and quasinormal winding modes
Journal of High Energy Physics, 2022 We compute the path integral for a particle on the covering group of SL(2, ℝ) using a decomposition of the Lie algebra into adjoint orbits. We thus intuitively derive the Hilbert space of the particle on the group including discrete and continuous ...
Sujay K. Ashok, Jan Troost
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InfoMat, EarlyView.Bidirectional photo response in a two‐dimensional heterojunction photodetector controlled by light wavelength and polarization. Abstract Polarization is one of the most fundamental properties of light. Traditional polarization‐sensitive photodetectors, however, are limited in their ability to fully extract this information, as they translate the two ...
Ronghui Lin +10 more
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Connecting quasinormal modes and heat kernels in 1-loop determinants
SciPost Physics, 2020 We connect two different approaches for calculating functional determinants on quotients of hyperbolic spacetime: the heat kernel method and the quasinormal mode method.
Cynthia Keeler, Victoria L. Martin, Andrew Svesko
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A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt +2 more
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Design optimization for automatically generating optimal design results is a promising technique for enhancing the efficiency of design processes and outcomes. However, its development for soil nail reinforced slopes is limited since the traditional slope stability analysis using the limit equilibrium method (LEM) becomes relatively time ...
Weihang Ouyang, Kai Liu, Si‐Wei Liu
wiley +1 more source