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Fractional Transport Equation on Random Fractals

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 267-270页

作者： Qiuhua ZENG Houqiang LI and Yaquan FANG (department of physics, sichuan union university, chengdu 610064.{4.) department of physics Sichuan Union University Chengdu 610064 China

According to the ways of *** and *** with the constitutive equation of diffusive particles in isotropic and homogeneous three dimensions and the Laplace transform we derive the multiscaling fractional transport equati... 详细信息

关键词： probability density comb model transport on fractals

Accurate studies on the full vibrational energy spectra and molecular dissociation energies for some electronic states of N_(2)molecule

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Science china(physics,Mechanics & Astronomy) 2005年第4期48卷 385-398页

作者： REN Weiyi1,2, SUN Weiguo1, HOU Shilin3 & FENG Hao4.1. Institute of physics, College of Chemical Engineering, sichuan university, chengdu 610065,{4. 2. Institute of Theoretical physics, Xihua Normal university, Nanchong 637002,{4. 3. department of physics,{4. Oceanography university, Qingdao 266003,{4. 4. College of physics, sichuan university, chengdu 610065,{4. Institute of physics College of Chemical Engineering Sichuan University Chengdu China Institute of Theoretical physics Xihua Normal University Nanchong China department of physics China Oceanography University Qingdao China College of physics Sichuan University Chengdu China

It is usually very difficult to directly obtain molecular dissociation energy De and all accurate high-lying vibrational energies for most diatomic electronic states using modern experimental techniques or quantum theories, and it is also very difficult to give accurate analytical expression for diatomic molecular dissociation energy. This study proposes a new analytical formula for obtaining accurate molecular dissociation energy based on the LeRoy and Bernstein’s energy expression in dissociation limit. A set of full vibrational energy spectra for some electronic states of N2 molecule are studied using the algebraic method (AM) suggested recently, and the corresponding accurate molecular dissociation energies are evaluated using the proposed new formula and high-lying AM vibrational energies. The results show that the AM spectra and the new theoretical dissociation energies agree excellently with experimental data, and thereby providing a new physical approach to generating accurate dissociation energies for electronic states of diatomic molecules.

关键词： vibrational energy, dissociation energy, nitrogen molecule, algebraic method.

Diffusion Equation on Fractals:Three-Dimensional Case

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Communications in Nonlinear Science and Numerical Simulation 1999年第3期4卷 3-5页

作者： Qiuhua ZENG and Houqiang LI(department of physics, sichuan university, {4. 610064. china) department of physics Sichuan University ChengDu 610064 China

IntroductionInrecentyearsthephenomenonofunusualtrajnsport-prop***onindisorderedmediaorfractalmedia,anomalousdiffusionistheoretic... 详细信息

IntroductionInrecentyearsthephenomenonofunusualtrajnsport-prop***onindisorderedmediaorfractalmedia,anomalousdiffusionistheoretic...

关键词： comb model probability density diffusion on fractals

Anomalous Fractional Diffusion Equation forTransport Phenomena

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 99-104页

作者： Qiuhua ZENG Houqiang LI De LIU(department of physics, sichuan university, {4. 610064. china) department of physics Sichuan University ChengDu 610064 China

We derive the standard diffusion equation from the continuity equationand by discussing the defectiveness of earlier proposed equations, we get the generalizedfractional diffusion equation for anomalous diffusion.

关键词： fractal lattice probability density fractal anomalous diffusion

Species: Renormalization-group Method

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 199-203页

作者： Fuxuan CHANG Houqiang LI De LIU and Libin LIN (department of physics, Open Laboratory of Radiation physics and Technology, sichuan union university, {4. 610064. china) department of physics Open Laboratory of Radiation Physics and Technology Sichuan Union University Chengdu 610064 China

In this paper, we have studied the structure of DLA with two species by using the kinet real-space renormalization group method introduced by WANG. Following the RG rules and growth processor, We have gained the configuration of 2×2 cell, calculated the fractal dimensions, multifractal spectra, and free energy when different value of p are applied. And we studied the problem of phase transition with different value of p. Our results demonstrate that the change of p doesn't affect the fractal dimension, but can affect the multifractal spectrum and the phase transition.

关键词： DLA with two species phase transition renormalization-group

Entropy Function for Multifractal Thermodynamics

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 83-86页

作者： Qiuhua ZENG (department of physics, sichuan university, {4. 610064. china) Email: nonlinear@*** department of physics Sichuan University Chengdu 610064 China

The theory on multifractal thermodynamics has been studied by the method of series expansion. The method is able to overcome the shortages of Kohmoto’s steepest desent method and the results have general meanings.

关键词： multifractal thermodynamics classical thermodynamics entropy function

QUANTITATIVE CHARACTERIZATION OF STRESS-STRAIN HYSTERESIS LOOPS OF Cu-Zn-Al SHAPE MEMORY ALLOY

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Acta Metallurgica Sinica(English Letters) 2001年第2期14卷 97-102页

作者： Y.F. Guo, Y.Z. Huo, C.T. Zeng, X.T. Zu (department of Metal Materials, sichuan university, chengdu 610065,{4.) (department of physics, sichuan university, chengdu 610064.{4.) Dept. of Metal Mat. Sichuan Univ. Chengdu 610065 China

A six-parameter mathematical model was introduced to simulate the stress-strain hysteresis and the sinner hysteresis of polycrystalline shape memory alloys (SMAs). By the comparison with experiments of Cu-Zn-Al SMA, it was shown that the model could be used to calculate the stress-strain relations with rather good accuracy. Moreover, it was found that the six parameters introduced in this paper represented the characteristics of the stress-strain hysteresis of polycrystalline SMAs and could be used to characterize the hysteresis quantitatively.

关键词： Characterization Hysteresis Shape memory effect Strain Stresses Zinc alloys

Effect of rare earths on phase transformation in as-cast ZA27 alloy dur-ing compressive creep

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Rare Metals 2003年第4期22卷 259-264页

作者： WEIXiaowei SHENBaoluo DepamnentofAppliedphysics UniversityofElectronicScienceandTechnologyofChinaChengdu610045China DeparlanentofMetalScience SichuanUniversityChengdu610065China

The effect of the mixed rare earths of Ce on the phase transformation in ascast ZA 27 alloy during compressive was investigated under 37 MPa and at 160 deg C by X-raydiffraction technique and SEM. The results showed that the as cast microstructure of ZA 27-RE alloyconsisted of a dendritic Al-rich alpha' surrounded by Zn-rich beta' phase, interdendritic epsilonphase and Zn-rich eta phase together with a complex Z phase which was a complex constitute compound,(RE,Cu)Al_5Zn_(16), dispersed in crystal interfaces or branch crystal interfaces and stable duringcompressive creep test at 160 deg C. The phase transformations of ZA 27-RE alloy, decomposition ofbeta' phase arid four transformation, were delayed by the addition of rare earths, also the lamellarstructure and the spheroidized structure in ZA 27-RE alloy were finer than in ZA 27 alloy duringcompressive creep test at 160 deg C at the same creep time, and the compressive creep resistance ofZA 27-RE alloy was higher than that of ZA 27 alloy.

关键词： microstructure change compressive creep rare earths ZA 27 alloy

On the Birch-Swinnerton-Dyer Conjecture of Elliptic Curves E_D:y^2=x^3-D^2x

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Acta Mathematica Sinica,English Series 2000年第2期16卷 229-236页

作者： Delang Li department of Mathematics,sichuan union university,{4. 610064.P.R.china Ye Tian department of Mathematics,Columbia university,New York,NY 10027,USA department of Mathematics Sichuan Union University Chengdu 610064 P. R. China department of Mathematics Columbia University New York NY 10027 USA

We prove in this paper that the BSD conjecture holds for a certain kind of elliptic curves.

关键词： Elliptic curve BSD conjecture Graph 2-component