Results 131 to 140 of about 294,004 (295)
SciPost PhysicsWe study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme.
Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann, Kai Phillip Schmidt
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Critical exponents without the epsilon expansion [PDF]
Physics Letters B, 1994 We argue that the sharp-cutoff Wilson renormalization group provides a powerful tool for the analysis of second-order and weakly first-order phase transitions. In particular, in a computation no harder than the calculation of the 1-loop effective potential, we show that the Wilson RG yields the fixed point couplings and critical exponents of 3 ...
openaire +2 more sources
Advanced Engineering Materials, EarlyView.The presented study focuses on the fracture behaviour of carbon‐bonded magnesia MgO–C refractories, where environmentally friendly fructose, collagen and lignin serve as temporary binding agents. The partial substitution of the source material with recycled MgO–C reduces the fracture resistance, which can be counteracted by the additional introduction ...
Marc Neumann +6 more
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Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Electronic Journal of Differential Equations, 2016 In this article we consider the problem $$\displaylines{ -\hbox{div}\big(p(x)\nabla u\big)=|u|^{2^{*}-2}u+\lambda f\quad \text{in }\Omega \cr u=0 \quad \text{on }\partial\Omega }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$, We study ...
Mohammed Bouchekif, Ali Rimouche
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Advanced Engineering Materials, EarlyView.The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
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An elliptic problem with critical exponent and positive Hardy potential
Abstract and Applied Analysis, 2004 We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.
Shaowei Chen, Shujie Li
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Evaluating Energy Absorption Performance of Filled Lattice Structures
Advanced Engineering Materials, EarlyView.Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney +2 more
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Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
Electronic Journal of Differential Equations, 2017 In this article, we study the existence of positive solutions for the nonhomogeneous fractional equation involving critical Sobolev exponent $$\displaylines{ (-\Delta)^{s} u +\lambda u=u^p+\mu f(x), \quad u>0\quad \text{in } \Omega,\cr u =0, \quad \
Kun Cheng, Li Wang
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Advanced Engineering Materials, EarlyView.This study investigates how tramp elements from increased scrap usage influence phase transformations in low‐alloyed steel. Combining dilatometry and microscopy reveal that tramp elements delay transformations, reduce critical cooling rates and increase hardenability.
Lukas Hatzenbichler +5 more
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Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R^4
Electronic Journal of Differential Equations, 2017 In this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in $R^4$, with a parameter $\lambda >0$.
Abhishek Sarkar
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