In this reply to R. Van Pottelberge, M. Zarenia, and F. M. Peeters's comment on our original paper, “Impurity spectra of graphene under electric and magnetic fields,” we discuss the existence of bound states of ...
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In this reply to R. Van Pottelberge, M. Zarenia, and F. M. Peeters's comment on our original paper, “Impurity spectra of graphene under electric and magnetic fields,” we discuss the existence of bound states of a Coulomb impurity in graphene through the regular and irregular solution of the Dirac equation, and clarify its relation to the term “atom collapse” in our original paper.
We introduce a deep neural network (DNN) model that assigns the position of the centers of the electronic charge in the snapshots of a molecular dynamics trajectory. The electronic centers are uniquely specified by th...
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With the increased availability of rich behavioral data sets, we present a novel combination of tools to analyze to analyze this information. Using criminal offense records as an example, we employ cross-correlation m...
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This note reformulates certain classical combinatorial duality theorems in the context of order lattices. For source-target networks, we generalize bottleneck path-cut and flow-cut duality results to edges with capaci...
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In our previous work [1], we studied an interconnected bursting neuron model for insect locomotion, and its corresponding phase oscillator model, which at high speed can generate stable tripod gaits with three legs of...
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A lattice Boltzmann model for multicomponent fluid flows is used to simulate the two-dimensional Rayleigh-Taylor instability. The dynamical processes of the instability, varying from linear growth to mixing, have been...
A lattice Boltzmann model for multicomponent fluid flows is used to simulate the two-dimensional Rayleigh-Taylor instability. The dynamical processes of the instability, varying from linear growth to mixing, have been simulated. The results agree with experiments, analytical studies, and other numerical simulations.
The dynamic compression behavior of particulate metal materials has not been fully understood. In this study, based on the multi-particle finite element methods, a two-dimensional numerical analysis model of granular ...
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In this paper, we study the initiial-boundary value problem of one class of nonlinear Schrodinger equations described in molecular crystals. Furthermore, the existence of the global solution is obtained by means of in...
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In this paper, we study the initiial-boundary value problem of one class of nonlinear Schrodinger equations described in molecular crystals. Furthermore, the existence of the global solution is obtained by means of interpolation inequality and a priori estimation.
We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU ...
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We present a variant restricted Additive Schwarz preconditioner and apply Partial-Newton-Krylov-Schwarz algorithm to solve nonlinear algebraic equations of two-dimensional three-temperature systems. Iteration and CPU time for convergence are decreased. Numerical results show efficiency of the method.
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