Boundary conditions for molecular dynamics simulation of crystalline solids are considered with the objective of eliminating the reflection of phonons.A variational formalism is presented to construct boundary conditi...
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Boundary conditions for molecular dynamics simulation of crystalline solids are considered with the objective of eliminating the reflection of phonons.A variational formalism is presented to construct boundary conditions that minimize total phonon *** boundary conditions that involve a few neighbors of the boundary atoms and limited number of time steps are found using the variational *** effects are studied and compared with other boundary conditions such as truncated exact boundary conditions or by appending border atoms where artificial damping forces are *** general it is found that,with the same cost or complexity,the variational boundary conditions perform much better than the truncated exact boundary conditions or by appending border atoms with empirical damping *** issues of implementation are discussed for real *** to brittle fracture dynamics is illustrated.
In this paper we consider the problem of computing the functional gains that represent the LQR optimal feedback control law for a thermal fluid in a convection loop. In particular, we focus on optimal feedback laws fo...
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In this paper we consider numerical algorithms for computing functional gains that de fine optimal feedback laws for Dirichlet boundary control of parabolic equations. The focus here is on using non-uniform meshes to ...
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The growing awareness of the importance of transitioning to sustainable energy sources emphasizes the necessity of fostering business optimism toward renewable energy, as businesses wield significant influence in driv...
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The growing awareness of the importance of transitioning to sustainable energy sources emphasizes the necessity of fostering business optimism toward renewable energy, as businesses wield significant influence in driving innovation and scaling up renewable energy deployment. Therefore, this study investigates the impact of business confidence on long-term renewable energy generation in selected major Asian economies: China, Japan, South Korea, Indonesia, and Turkey. Through country-specific assessments, we utilized three methods capable of yielding long-term empirical results: Fully-Modified OLS (FMOLS), Dynamic OLS (DOLS), and Canonical Cointegrating Regressions (CCR). The study also conducted a robustness check by utilizing the Robust Least Squares (RLS) method, preceded by multiple preliminary tests, to ensure the validity and reliability of the results. The findings show that businesses in all selected countries exhibit confidence toward long-term renewable energy. However, there are variations in the confidence level, with businesses in Japan, South Korea, and Turkey demonstrating high confidence while those in China and Indonesia show low confidence. The study also found a trade-off between business confidence levels and energy consumption. In Japan, South Korea, and Turkey, high business confidence correlates with a negative impact of energy consumption, while in Indonesia, low business confidence is aligned with a positive effect of energy consumption on renewable energy. This suggests that business confidence and energy consumption dynamics influence renewable energy development. Policy recommendations tailored to each of the selected countries are provided to address these findings, aiming to enhance business trust and optimism in renewable energy within major Asian economies.
The mathematical modelling of growing filamentous cells has been approached in a variety of ways ranging from simple geometric to biomechanically based models using exact, nonlinear, elasticity theory for shells and m...
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The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that data...
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ISBN:
(数字)9798350368741
ISBN:
(纸本)9798350368758
The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that datasets lie on a lower dimensional manifold. This allows to study the geometry of point clouds by extracting meaningful descriptors like curvature. In this work, we will present Adaptive Local PCA (AdaL-PCA), a data-driven method for accurately estimating various notions of intrinsic curvature on data manifolds, in particular principal curvatures for surfaces. The model relies on local PCA to estimate the tangent spaces. The evaluation of AdaL-PCA on sampled surfaces shows state-of-the-art results. Combined with a PHATE embedding, the model applied to single-cell RNA sequencing data allows us to identify key variations in the cellular differentiation.
Considering the coupled nonlinear Schr¨odinger system with multiply components, we provide a novel framework for constructing energy-preserving algorithms. In detail, based on the high order compact finite differ...
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Considering the coupled nonlinear Schr¨odinger system with multiply components, we provide a novel framework for constructing energy-preserving algorithms. In detail, based on the high order compact finite difference method, Fourier pseudospectral method and wavelet collocation method for spatial discretizations, a series of high accurate conservative algorithms are presented. The proposed algorithms can preserve the corresponding discrete charge and energy conservation laws exactly, which would guarantee their numerical stabilities during long time ***, several analogous multi-symplectic algorithms are constructed as comparison. Numerical experiments for the unstable plane waves will show the advantages of the proposed algorithms over long time and verify the theoretical analysis.
We obtain an asymptotic Hölder estimate for expectations of a quite general class of discrete stochastic processes. Such expectations can also be described as solutions to a dynamic programming principle or as so...
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A new algorithm based on spectral element discretization and non-oscillatory ideas is developed for the solution of hyperbolic partial differential equations. A conservative formulation is proposed based on cell avera...
A new algorithm based on spectral element discretization and non-oscillatory ideas is developed for the solution of hyperbolic partial differential equations. A conservative formulation is proposed based on cell averaging and reconstruction procedures, that employs a staggered grid of Gauss-Chebyshev and Gauss-Lobatto Chebyshev discretizations. The non-oscillatory reconstruction procedure is based on ideas similar to those proposed by Cai et al. (Math. Comput. 52, 389 (1989)) but employs a modified technique which is more robust and simpler in terms of determining the location and strength of a discontinuity. It is demonstrated through model problems of linear advection, inviscid Burgers equation, and one-dimensional Euler system that the proposed algorithm leads to stable, non-oscillatory accurate results. Exponential accuracy away from the discontinuity is realized for the inviscid Burgers equation example.
We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant p-wave neutron-alpha scattering,...
We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant p-wave neutron-alpha scattering, which plays a crucial role in forming halo nuclei, is considered. This system is similar to a Bose polaron near the p-wave Feshbach resonance that can be realized in cold-atomic experiments. Calculating the self-energy within the field-theoretical approach, we give an analytical formula for the effective mass of a polaronic neutron as a function of alpha condensation density. Moreover, two adjacent neutrons in a medium, each of which behaves like a stable polaron having an enhanced effective mass, can form a bound dineutron, with the help of S01 neutron-neutron attraction. This is in contrast to the case of the vacuum, where a dineutron is known to be unbound. Our result is useful for understanding many-body physics in astrophysical environments as well as the formation of multinucleon clusters in neutron-halo nuclei.
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