Results 91 to 100 of about 1,540,688 (355)
The anisotropic Ising correlations as elliptic integrals: duality and differential equations
, 2016 We present the reduction of the correlation functions of the Ising model on the anisotropic square lattice to complete elliptic integrals of the first, second and third kind, the extension of Kramers-Wannier duality to anisotropic correlation functions ...
Maillard, J-M., McCoy, B. M.
core +2 more sources
Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean
, 2015 In this paper, the authors present necessary and sufficient conditions for the complete elliptic integrals of the first and second kind to be convex or concave with respect to the Lehmer mean.
Y. Chu, Tie-hong Zhao
semanticscholar +1 more source
Magnetic Force Microscopy Signatures of Higher‐Order Skyrmions and Antiskyrmions
Advanced Functional Materials, EarlyView.Magnetic force microscopy operated under vacuum conditions enables the qualitative identification of higher‐order skyrmions and antiskyrmions in Co/Ni multilayers at room temperature. Distinct stray‐field contrast signatures arise from vertical Bloch lines and complex domain‐wall configurations.
Sabri Koraltan +8 more
wiley +1 more source
The unequal mass sunrise integral expressed through iterated integrals on M‾1,3
Nuclear Physics B, 2020 We solve the two-loop sunrise integral with unequal masses systematically to all orders in the dimensional regularisation parameter ε. In order to do so, we transform the system of differential equations for the master integrals to an ε-form. The sunrise
Christian Bogner +2 more
doaj +1 more source
, 2010 In this paper we classify Weingarten surfaces integrable in the sense of soliton theory. The criterion is that the associated Gauss equation possesses an sl(2)-valued zero curvature representation with a nonremovable parameter. Under certain restrictions
Baran H +26 more
core +1 more source
Imaging of Biphoton States: Fundamentals and Applications
Advanced Functional Materials, EarlyView.Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley +1 more source
Tropical mirror symmetry for elliptic curves
, 2017 Mirror symmetry relates Gromov-Witten invariants of an elliptic curve with certain integrals over Feynman graphs. We prove a tropical generalization of mirror symmetry for elliptic curves, i.e., a statement relating certain labeled Gromov-Witten ...
Boehm, Janko +3 more
core +1 more source
A new form of the generalized complete elliptic integrals [PDF]
, 2014 Generalized trigonometric functions are applied to the Legendre-Jacobi standard form of complete elliptic integrals, and a new form of the generalized complete elliptic integrals of the Borweins is presented. According to the form, it can be easily shown
S. Takeuchi
semanticscholar +1 more source
Mechanoregulatory Effects of Cell‐Scale Microwells on Epithelial Cell Phenotype
Advanced Functional Materials, EarlyView.In small polycaprolactone microwells, A549 epithelial cells span well edges, in contrast to cells growing on flat substrates. Focal adhesion sites (yellow) concentrate at topographic boundaries, while cytoskeletal tension (magenta stress fibers) is transmitted to the nucleus (blue), reducing nuclear sphericity.
Ruiwen He +10 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta +8 more
wiley +1 more source