Results 111 to 120 of about 200,721 (332)

Critical exponents of planar gradient percolation

open access: yesThe Annals of Probability, 2008
We study gradient percolation for site percolation on the triangular lattice. This is a percolation model where the percolation probability depends linearly on the location of the site. We prove the results predicted by physicists for this model. More precisely, we describe the fluctuations of the interfaces around their (straight) scaling limits, and ...
Pierre Nolin, Pierre Nolin
openaire   +6 more sources

Advancing Digital Transformation in Material Science: The Role of Workflows Within the MaterialDigital Initiative

open access: yesAdvanced Engineering Materials, EarlyView.
The MaterialDigital initiative drives the digital transformation of material science by promoting findable, accessible, interoperable, and reusable principles and enhancing data interoperability. This article explores the role of scientific workflows, highlights challenges in their adoption, and introduces the Workflow Store as a key tool for sharing ...
Simon Bekemeier   +37 more
wiley   +1 more source

Geometrical interpretation of critical exponents

open access: yesPhysical Review E
We develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function might be sensitive to this change in dimensionality.
Henrique A. Lima   +4 more
openaire   +2 more sources

The Viability of the Refractory High‐Entropy Alloy AlMo0.5NbTa0.5TiZr for High‐Temperature Structural Applications

open access: yesAdvanced Engineering Materials, EarlyView.
Refractory high‐entropy alloys have attracted substantial attention for future ultrahigh‐temperature structural applications. Here the progression of key phase transformations in AlMo0.5NbTa0.5TiZr is established and correlated to the mechanical performance, highlighting the importance of the B2 phase.
George J. Wise   +5 more
wiley   +1 more source

Multiple solutions for nonhomogeneous Choquard equations

open access: yesElectronic Journal of Differential Equations, 2018
In this article, we consider the multiple solutions for the nonhomogeneous Choquard equations $$ - \Delta u +u=\Big(\frac{1}{|x|^{\alpha}}\ast |u|^{p}\Big)|u|^{p-2}u+h(x), \quad x\in \mathbb{R}^N, $$ and $$ - \Delta u=\Big(\frac{1}{|x|^{\alpha ...
Lixia Wang
doaj  

On the Rigidity and Mechanical Behavior of Triply Periodic Minimal Surfaces‐Based Lattices: Insights from Extensive Experiments and Simulations

open access: yesAdvanced Engineering Materials, EarlyView.
This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle   +2 more
wiley   +1 more source

Critical slowing down in random anisotropy magnets

open access: yesCondensed Matter Physics, 2005
We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis.
G.Moser, R.Folk, Yu.Holovatch, M.Dudka
doaj   +1 more source

Scaling of the Lyapunov exponent in type-III intermittent chaos [PDF]

open access: yesarXiv, 2007
The scaling behaviour of the Lyapunov exponent near the transition to chaos via type-III intermittency is determined for a generic map. A critical exponent $\beta$ expressing the scaling of the Lyapunov exponent as a function of both, the reinjection probability and the nonlinearity of the map is calculated.
arxiv  

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