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6.0

Jun 30, 2018
06/18

by
Chia-Yu Hsieh; YunKyong Hyon; Hijin Lee; Tai-Chia Lin; Chun Liu

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In order to describe the dynamics of crowded ions (charged particles), we use an energetic variation approach to derive a modified Poisson-Nernst-Planck (PNP) system which includes an extra dissipation due to the effective velocity differences between ion species. Such a system is more complicated than the original PNP system but with the same equilibrium states. Using Schauder's fixed-point theorem, we develop a local existence theorem of classical solutions for the modified PNP system....

Topics: Mathematics, Analysis of PDEs, Mathematical Physics

Source: http://arxiv.org/abs/1407.8245

6
6.0

Jun 30, 2018
06/18

by
Diogo A. Gomes; Hiroyoshi Mitake

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In this paper, we investigate the existence and uniqueness of solutions to a stationary mean field game model introduced by J.-M. Lasry and P.-L. Lions. This model features a quadratic Hamiltonian with possibly singular congestion effects. Thanks to a new class of a-priori bounds, combined with the continuation method, we prove the existence of smooth solutions in arbitrary dimensions.

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.8267

5
5.0

Jun 30, 2018
06/18

by
E. Nicklas; W. Muessel; H. Strobel; P. G. Kevrekidis; M. K. Oberthaler

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The dynamical evolution of spatial patterns in a complex system can reveal the underlying structure and stability of stationary states. As a model system we employ a two-component rubidium Bose-Einstein condensate at the transition from miscible to immiscible with the additional control of linear interconversion. Excellent agreement is found between the detailed experimental time evolution and the corresponding numerical mean-field computations. Analyzing the dynamics of the system, we find...

Topics: Quantum Gases, Nonlinear Sciences, Pattern Formation and Solitons, Condensed Matter

Source: http://arxiv.org/abs/1407.8049

7
7.0

Jun 30, 2018
06/18

by
Friedrich Knop; Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

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We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on Z. We give a geometric criterion to ensure $L^p$-integrability of matrix coefficients on Z.

Topics: Mathematics, Representation Theory

Source: http://arxiv.org/abs/1407.8006

5
5.0

Jun 30, 2018
06/18

by
Hoai-Minh Nguyen

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This paper is devoted to the study of cloaking via anomalous localized resonance (CALR) in the two and three dimensional quasistatic regimes. CALR associated with negative index materials was discovered by Milton and Nicorovicci in [21] and attracted a lot attention in the scientific community. Two key figures of this phenomenon are the localized resonance, i.e., the fields blow up in some regions and remain bounded in some others, and the connection between the localized resonance and the blow...

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1407.7977

7
7.0

Jun 30, 2018
06/18

by
Huy Nguyen; Hao Shi; Jie Xu; Shiwei Zhang

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We describe CPMC-Lab, a Matlab program for the constrained-path and phaseless auxiliary-field Monte Carlo methods. These methods have allowed applications ranging from the study of strongly correlated models, such as the Hubbard model, to ab initio calculations in molecules and solids. The present package implements the full ground-state constrained-path Monte Carlo (CPMC) method in Matlab with a graphical interface, using the Hubbard model as an example. The package can perform calculations in...

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.7967

5
5.0

Jun 30, 2018
06/18

by
Jige Chen; Yi Gao; Chunlei Wang; Renliang Zhang; Hong Zhao; Haiping Fang

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Thermally driven nanotube nanomotors provide linear mass transportation controlled by a temperature gradient. However, the underlying mechanism is still unclear where the mass transportation velocity in experiment is much lower than that resulting from simulations. Considering that defects are common in fabricated nanotubes, we use molecular dynamics simulations to show that the mass transportation would be considerably impeded by the potential barriers or wells induced by the defects, which...

Topics: Mesoscale and Nanoscale Physics, Statistical Mechanics, Condensed Matter

Source: http://arxiv.org/abs/1407.8263

7
7.0

Jun 30, 2018
06/18

by
Meysam Alishahi; Hossein Hajiabolhassan

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For a graph $G$, the tree graph ${\cal T}_{G,t}$ has all tree subgraphs of $G$ with $t$ vertices as vertex set and two tree subgraphs are neighbors if they are edge-disjoint. Also, the $r^{th}$ cut number of $G$ is the minimum number of edges between parts of a partition of vertex set of $G$ into two parts such that each part has size at least $r$. We show that if $t=(1-o(1))n$ and $n$ is large enough, then for any dense graph $G$ with $n$ vertices, the chromatic number of the tree graph ${\cal...

Topics: Mathematics, Combinatorics

Source: http://arxiv.org/abs/1407.8035

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77

Jun 30, 2018
06/18

by
Yuancheng Fan; Fuli Zhang; Qian Zhao; Zeyong Wei; Hongqiang Li

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Coherent perfect absorber (CPA) was proposed as the time-reversed counterpart to laser: a resonator containing lossy medium instead of gain medium can absorb the coherent optical fields completely. Here, we exploit a monolayer graphene to realize the CPA in a non-resonant manner. It is found that quasi-CPA point exists in the terahertz regime for suspending monolayer graphene, and the CPA can be implemented with the assistant of proper phase modulation among two incident beams at the quasi-CPA...

Topics: Physics, Mesoscale and Nanoscale Physics, Optics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1407.7961

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24

Jun 30, 2018
06/18

by
Zenan Qi; Harold S. Park; David K. Campbell

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Graphene's exceptional mechanical properties, including its highest-known stiffness (1 TPa) and strength (100 GPa) have been exploited for various structural applications. However, graphene is also known to be quite brittle, with experimentally-measured tensile fracture strains that do not exceed a few percent. In this work, we introduce the notion of graphene kirigami, where concepts that have been used almost exclusively for macroscale structures are applied to dramatically enhance the...

Topics: Physics, Computational Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1407.8113