the National Natural Science Foundation of China(Grant No.12274126);carried out during the virtual program“Tensor Networks in Many Body and Quantum Field Theory”held at the Institute for Nuclear Theory,University of Washington,Seattle(INT 21–1c)。
Motivated by the mathematical beauty and the recent experimental realizations of fractal systems,we study the spin-1/2 antiferromagnetic Heisenberg model on a Sierpiński gasket.The fractal porous feature generates ne...
Supported by the National Natural Science Foundation of China under Grant No 61308026, and the Fundamental Research Funds for the Central Universities of China under Grant No K5051307003.
Scattering of an arbitrarily incident Bessel beam by fractal soot aggregates is numerically investigated. The incident beam is described by the vector expressions of the zero-order Bessel beam in combination with rota...
Supported by the National Basic Research Program(2011CB921200);the National Natural Science Foundation of China under Grant Nos 60921091 and 11274289;the Fund for Fostering Talents in Basic Science of the National Natural Science Foundation of China(No J1103207).
In the recent work of Kiss et al.[Phys.Rev.Lett.107(2011)100501],the evolvement of two-qubit quantum states in a measurement-based purification process is studied.As they pointed out,the purification results manifest ...
Supported by the National Natural Science Foundation of China under Grant Nos 61001018,030701401;the Natural Science Foundation of Shandong Province under Grant Nos ZR2011FM009,ZR2012FM011;the Research Fund of Shandong University of Science and Technology(SDUST)under Grant No 2010KYJQ103;the Project of Shandong Province Higher Educational Science and Technology Program under Grant No J11LG20;Qingdao Science&Technology Project(11-2-4-4-(8)-jch,10-3-4-2-1-jch).
An independently tunable multichannel filter based on graphene superlattices with fractal potentials is theoretically studied.It is found that such fractal structures with a defect layer possess an unusual tunneling s...
Supported by the National Basic Research Program of China(Nos 2011CBA00107,2011CBA00202);the National Natural Science Foundation of China under Grant Nos 61071009,61027008,11104110;the Specialized Research Fund for Doctoral Program of Higher Education(20090091110040);the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)。
We report on fractal-featured square and ring-shaped apertures with a Sierpinski carpet pattern(SCP)on metallic and superconducting NbN films.Multiple extraordinary terahertz(THz)transmission peaks are studied in the ...
Supported by the Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation(PLN1113);the National Natural Science Foundation of China(41102080);the Open Fund of Research Center of Green Manufacturing and Energy-Saving&Emission Reduction Technology in Wuhan University of Science and Technology(B1219).
The Robertson-Stiff (RS) fluid is the representative fluid which may be reduced to Bingham,power-law and Newtonian fluids under appropriate conditions.We present fractal models for the flow rate,velocity,starting pres...
by the Young Scientists Fund of the National Natural Science Foundation of China under Grant No 10902071,“Chen Guang”Project of Shanghai Municipal Education Commission under Grant No 11CG61,Fund of Science and Technology of Shanghai Institute of Technology under Grant No KJ2011-06,the State Key Program of the National Natural Science of China under Grant No 11032009,and Shanghai Leading Academic Discipline Project under Grant No J51501.
Fractal erosion of the safe basin in a Helmholtz oscillator system is studied.A linear delayed velocity feedback is employed to suppress the fractal erosion.The necessary basin erosion condition of the delayed feedbac...
The Lorenz mapping is a discretization of a pair of differential equations.It illustrates the pertinence of computational chaos.We describe complex dynamics,bifurcations,and chaos in the map.Fractal basins are display...
Supported by the National Natural Science Foundation of China under Grant Nos 10975105 and 11075114.
We investigate the effect of silicone oil viscosity on the aggregation behavior of C:F clusters deposited on silicone oil liquid substrates with viscous coefficients of 100,350 and 500mm^(2)/s by C4Fs dual-frequency c...
Supported by the National Natural Science Foundation of China under Grant No 10932010.
Sierpinski carpet is an exactly self-similar fractal,which is often used to simulate fractal porous media.A simple recursive model for the tortuosity of flow path in Sierpinski carpet is derived based on the self-simi...