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Dimensionless ratios: Characteristics of quantum liquids and their phase transitions

Physical Review B 2016年第19期94卷 195129-195129页

作者： Yi-Cong Yu Yang-Yang Chen Hai-Qing Lin Rudolf A. Römer Xi-Wen Guan State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China Beijing Computational Science Research Center Beijing 100094 China Department of Physics and Centre for Scientific Computing University of Warwick Coventry CV4 7AL United Kingdom Center for Cold Atom Physics Chinese Academy of Sciences Wuhan 430071 China Department of Theoretical Physics Research School of Physics and Engineering Australian National University Canberra ACT 0200 Australia

Dimensionless ratios of physical properties can characterize low-temperature phases in a wide variety of materials. As such, the Wilson ratio (WR), the Kadowaki-Woods ratio, and the Wiedemann-Franz law capture essential features of Fermi liquids in metals, heavy fermions, etc. Here we prove that the phases of many-body interacting multicomponent quantum liquids in one dimension (1D) can be described by WRs based on the compressibility, susceptibility, and specific heat associated with each component. These WRs arise due to additivity rules within subsystems reminiscent of the rules for multiresistor networks in series and parallel—a novel and useful characteristic of multicomponent Tomonaga-Luttinger liquids (TLL) independent of microscopic details of the systems. Using experimentally realized multispecies cold atomic gases as examples, we prove that the Wilson ratios uniquely identify phases of TLL, while providing universal scaling relations at the boundaries between phases. Their values within a phase are solely determined by the stiffnesses and sound velocities of subsystems and identify the internal degrees of freedom of said phase such as its spin degeneracy. This finding can be directly applied to a wide range of 1D many-body systems and reveals deep physical insights into recent experimental measurements of the universal thermodynamics in ultracold atoms and spins.

关键词： Fermi gases Specific heat Fermi liquid theory

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Saliency Detection via Nonconvex Regularization Based Matrix Decomposition

Saliency Detection via Nonconvex Regularization Based Matrix...

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International Conference on computational Intelligence and Security

作者： Zhixiang He Xiaoli Sun Xiujun Zhang Chen Xu College of Mathematics and Computational Science Shenzhen University Shenzhen China College of Information and Engineering Shenzhen University Shenzhen China Institute of Intelligent Computing Science Shenzhen University Shenzhen China

In this paper, a nonconvex regularization based matrix decomposition model (NRMD) is proposed. In NRMD, the non-salient regions are regarded as a low rank part, and the salient regions are viewed as a sparse part. Dif... 详细信息

关键词： computational intelligence Security

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A hybrid development platform for evolutionary multi-objective optimization

A hybrid development platform for evolutionary multi-objecti...

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Congress on Evolutionary Computation

作者： Ruimin Shen Jinhua Zheng Miqing Li School of Mathematics & Computational Science Xiangtan University Hunan China Institute of Information Engineering Xiangtan University Hunan China Department of Information Systems & Computing Brunel University Uxbridge Middlesex U. K

ISBN: (纸本)9781479974931

This paper introduces an optimization template library (OTL), a cross-platform C++ template library for multiobjective optimization. OTL has an object-oriented architecture, which allows that different modules can be arbitrarily combined with each other. Moreover, the C++ template technique is used to increase the flexibility of OTL. Meanwhile, generic programming is widely used in OTL, and the generic algorithms can be used to process different data structures. However, compared with C++, the Python script is more suitable for building the experimental platform. To ensure that all attributes of the experimental results can be fully maintained, a database is used to store the experimental data. Moreover, batch experiments can be easily defined in a set of configuration files; thus, the experiments can be executed automatically without human intervention. In addition, serial and various parallel execution modes are supported, and the user can easily switch the running mode to distributed computing to increase the computing speed. Finally, a highly customizable data visualization tool is created to play back the data sample stored in the database. From a series of comparative studies, the accuracy and running performance of OTL are verified by the statistical results.

关键词： Optimization Libraries Programming Software Data structures Encoding

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Analysis of Sparse Quasi-Newton Updates with Positive Definite Matrix Completion

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Journal of the Operations Research Society of China 2014年第1期2卷 39-56页

作者： Yu-Hong Dai Nobuo Yamashita State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesP.O.Box 2719Beijing 100080People’s Republic of China Department of Applied Mathematics and Physics Graduate School of InformaticsKyoto UniversityKyoto 606-8501Japan

Based on the idea of maximum determinant positive definite matrix completion,Yamashita(Math Prog 115(1):1–30,2008)proposed a new sparse quasi-Newton update,called MCQN,for unconstrained optimization problems with sparse Hessian *** exchange of the relaxation of the secant equation,the MCQN update avoids solving difficult subproblems and overcomes the ill-conditioning of approximate Hessian ***,local and superlinear convergence results were only established for the MCQN update with the DFP *** this paper,we extend the convergence result to the MCQN update with the whole Broyden’s convex *** results are also reported,which suggest some efficient ways of choosing the parameter in the MCQN update the Broyden’s family.

关键词： Quasi-Newton method Large-scale problems Sparsity Positive definite matrix completion Superlinear convergence

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A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation

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Communications in computational Physics 2014年第2期15卷 470-486页

作者： Jingrun Chen Pingbing Ming Jerry Zhijian Yang Institute of Computational Mathematics and Scientific/Engineering Computing AMSSChinese Academy of SciencesBeijing100190P.R.China. LSEC Institute of Computational Mathematics and Scientific/Engineering ComputingAMSSChinese Academy of SciencesNo.55 East Road Zhong-Guan-CunBeijing100190P.R.China. School of Mathematics and Statistics Wuhan UniversityWuhan430072P.R.China. South Hall 6705 Mathematics DepartmentUniversity of CaliforniaSanta BarbaraCA93106USA

We introduce a new multigrid method to study the lattice statics model arising from nanoindentation.A constrained Cauchy-Born elasticity model is used as the coarse-grid *** method accelerates the relaxation process and considerably reduces the computational *** particular,it saves quite a bit when dislocations nucleate and move,as demonstrated by the simulation results.

关键词： Multigrid method constrained Cauchy-Born elasticity nanoindentation CauchyBorn rule.

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Identification of Patient Zero in Static and Temporal Networks: Robustness and Limitations

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Physical Review Letters 2015年第24期114卷 248701-248701页

作者： Nino Antulov-Fantulin Alen Lančić Tomislav Šmuc Hrvoje Štefančić Mile Šikić Computational Biology and Bioinformatics Group Division of Electronics Rudjer Bošković Institute Zagreb 10000 Croatia Department of Mathematics Faculty of Science University of Zagreb Zagreb 10000 Croatia Theoretical Physics Division Rudjer Bošković Institute Zagreb 10000 Croatia Catholic University of Croatia Zagreb 10000 Croatia Department of Electronic Systems and Information Processing Faculty of Electrical Engineering and Computing University of Zagreb Zagreb 10000 Croatia Bioinformatics Institute A*STAR Singapore 138671 Republic of Singapore

Detection of patient zero can give new insights to epidemiologists about the nature of first transmissions into a population. In this Letter, we study the statistical inference problem of detecting the source of epidemics from a snapshot of spreading on an arbitrary network structure. By using exact analytic calculations and Monte Carlo estimators, we demonstrate the detectability limits for the susceptible-infected-recovered model, which primarily depend on the spreading process characteristics. Finally, we demonstrate the applicability of the approach in a case of a simulated sexually transmitted infection spreading over an empirical temporal network of sexual interactions.

关键词： Atomic physics

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On the Effect of Ghost Force in the Quasicontinuum Method:Dynamic Problems in One Dimension

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Communications in computational Physics 2014年第3期15卷 647-676页

作者： Xiantao Li Pingbing Ming Department of Mathematics the Pennsylvania State UniversityUniversity ParkPennsylvania16802USA LSEC Institute of Computational Mathematics and Scientific/Engineering ComputingAMSSChinese Academy of SciencesNo.55East Road Zhong-Guan-CunBeijing100190P.R.China

Numerical error caused by“ghost forces”in a quasicontinuum method is studied in the context of dynamic *** error in the discrete W^(1,∞)norm is analyzed for the time scale O(ε)and the time scale O(1)withεbeing th... 详细信息

关键词： Quasicontinuum methods ghost force dynamic problems

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A software platform for finite element simulation of ion permeation in ion channel systems

A software platform for finite element simulation of ion per...

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8th IUPAP International Conference on Biological Physics(第八届IUPAP国际生物物理大会)

作者： Benzhuo Lu Bin Tu Yan Xie Linbo Zhang Minxin Chen Institute of Computational Mathematics and Scientific Engineering Computing CAS BeijingChina

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Finite element implicit solvent modeling of molecular solvation and ionic flows

Finite element implicit solvent modeling of molecular solvat...

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International Conference on Theoretical and High Performance computational Chemistry 2014

作者： Tu Bin Xie Yan Bai Shiyang Chen Minxin Zhang Linbo Lu Benzhuo Institute of Computational Mathematics and Scientific/Engineering Computing Chinese Academy of Sciences

We will present a atomic-continuum modeling framework based on unstructured mesh to study molecular solvation in aqueous salt solution, as well as nonequilibrium ionic flow in ion channel. Unstructured mesh allows employment of well-established finite element/boundary element methods and packages to achieve high computational speed, accuracy and expandability. We developed a robust molecular surface mesh generation software, TMSmesh, to handle complex and arbitrarily large biomolecular systems in PDB, which allows applying FEM/BEM to continuum molecular modeling for general biomolecular systems, especially for large-scale and complicate systems. With the surface mesh and our latest version of AFMPB combining a parallel adaptive new version fast multipole method and BEM, we can successfully compute the PB electrostatics of a virus molecule with more than one million atoms and with more than ten million triangles in the surface mesh. For nonlinear PB cases and more general non-equilibrium electro-diffusion processes described by the Poisson-Nernst-Planck equations, we resort to a parallel adaptive finite element method, and the PB can be treated as a special case of PNP model. PNP modeling tracks particle diffusion and time information, and allows convenient incorporation of more physical effects such as size effects and ion-ion correlations in the model. Examples of non-equilibrium simulation will be given on the diffusion controlled substrate-enzyme encounter dynamics and on ionic flow through an ion channel. In addition, we also specifically designed a visualization system, VCMM, to facilitate continuum modeling based on unstructured mesh, which is not supported by usual visual systems in molecular modeling community. VCMM is a comprehensive system for visualizing and analyzing data from generic continuum molecular modeling. It can visualize molecule, mesh(especially unstructured mesh), and numerical results all at once. With these highly technical approaches and a

关键词： Solvation,ion flow,continuum modeling,finite element/boundary element method,meshing

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A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions

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Communications in computational Physics 2014年第4期15卷 1184-1206页

作者： Zhenzhen Li Xijun Yu Jiang Zhu Zupeng Jia School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026P.R.China Graduate School China Academy of Engineering PhysicsBeijing 100088P.R.China Laboratory of Computational Physics Institute of Applied Physics and Computational MathematicsBeijing 100088P.R.China National Laboratory for Scientific Computing LNCC/MCTIAvenida Getúlio Vargas 33325651-075 PetrópolisRJBrazil

This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas *** this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin(RKDG)method,and the mesh moves with the fluid *** scheme is conservative for the mass,momentum and total energy and maintains second-order *** scheme avoids solving the geometrical part and has free *** of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.

关键词： Lagrangian type scheme compressible Euler equations RKDG method conservative scheme

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