临界指数

所取得的结果符合临界指数的标度律与Widom的标度理论。

The results obtained are consistent with the critical exponent mean field results and can be interpreted by the Widom 's scaling theory .

在有限晶格近似下，我们对无序金属超晶格的一个简化模型求解了RG方程，得到不动点和临界指数的近似值，并发现空间调制在一定程度上引起无序系统电子局域化性质的改变。

By solving the RG equations for disordered metallic superlattices with finite-lattice approximation , the fixed point and critical exponent have been calculated approximately . It is found that space-modulation may change the properties of electronic localization in disordered systems to some extent .

含临界指数的p（x）-Laplacian方程解的存在性

Existence of Solutions for p ( x ) - Laplacian Equations with Critical Exponents

一类含临界指数及变系数的椭圆型方程Dirichlet问题解的存在性

An Elliptic Equation of Dirichlet Problems with Variable Coefficients and Critical Exponent

带奇异项和Sobolev临界指数项的椭圆边值问题

Elliptic Boundary Value Problems Involving Critical Sobolev Exponents and Singular Terms

而其逾渗临界指数（b）达9.61，远高于PP／炭黑导电复合材料的b值（2.84～3.79）。

The critical index ( b ) was up to 9.61 , which was much higher than that of PP / carbon black electrically conductive composites ( 2 . 84 ~ 3 . 79 ) .

含有Sobolev-Hardy临界指数的拟线性椭圆方程解的存在性和多重性

Existence and multiplicity results for Some Quasilinear Elliptic Equation with critical Sobolev-Hardy exponent

具临界指数p-Laplace方程在R~N上的结点径向解

Nodal radial solutions of the Quasilinear p - Laplace Equation Involving Critical Sobolev exponent in r ~ n

带非齐次项和Sobolev-Hardy临界指数的奇异椭圆方程的多解

Multiple Solutions for a Singular Elliptic Equation with Critical Sobolev-Hardy Exponent and Inhomogeneous Term

具Hardy-Sobolev临界指数的非齐次椭圆方程的正解

Positive Solutions for Nonhomogeneous Elliptic Problems with Critical Hardy-Sobolev Exponents

以Dicke模型为具体事例，并运用耗散系统准热力学关系式，研究了远离热平衡体系临界指数问题。

Taking the Dicke model as a concrete example and using the general quasi thermodynamic relationships for dissipative systems , deals with the critical exponents far from equilibrium .

我们用幂级数展开法、Fourier级数展开高斯消去法和Fourier级数展开迭代法计算了许多二维多孔媒质的有效电导率，并采用改进的迭代法计算了Sierpinski地毯的直流电导率的临界指数。

The effective conductivities for many two dimensional porous systems are calculated by polynomial approximation , Fourier expansion using elimination procedure and iterative approach of Fourier expansion Critical exponents for the dc conductivity of Sierpinski carpets are also calculated by an improved iterative approach .

本文采用Callaway的蒙特卡洛重整化群方案作出了二维三角点阵φ~4模型的重整化群流向图、固定点和临界指数。

The Monte Carlo renormalization group method proposed by Callaway is applied to φ ~ 4 model on two dimensional triangle lattice .

该文讨论一个带非齐次项和Sobolev-Hardy临界指数的半线性奇异椭圆型方程的多解问题。

In this paper , the authors study the multiple problem for a semilinear singular elliptic equation with critical Sobolev Hardy exponent and inhomogeneous term .

用坐标空间重正化群（PSRG）方法求解二维正方格子铁磁系统的临界指数

The Calculation of Critical Exponents of the Two-dimensional Square Lattice Ferromagnetic System Using the Method of PSRG

同时探讨了有限尺寸标度定律在DM作用下的普适规律，验证了这种相变行为类似于XY类型的BKT相变，但临界指数又有所不同。

Also , we discuss the universality of finite-size scaling with the DM interactions . This phase transition is proved to be similar to the BKT phase transition of XY model , but their critical exponents are different .

研究了一类临界指数的非线性椭圆方程，运用集中紧性原理和山路引理，得到了该类方程在有界区域ΩRN中存在非平凡解。

In this paper , a class of elliptic equations with critical exponent is studied . By applying the concentration-compactness principle and the Mountain Pass Lemma , the existence of the nontrivial solutions is proved in a bounded domain Ω R ~ N.

结果表明：混合自旋模型和伊辛模型属于同一普适类。证实了Schofield和Bowers通过直接对混合自旋模型临界指数的计算所做的结论。

And it is demonstrated that mixed spin model and pure Ising spin model belong to the same universality , which is in agreement with the conclusion made by Schofield and Bowers who calculated the critical exponents of mixed model directly .

具临界指数及奇异性的双调和方程解的存在性

Existence of Solution for a Singular Biharmonic Equation Involving Critical Exponent

临界指数变系数半线性方程的正解

Positive Solution of Variable Coefficient Semilinear Equation Involving Critical Exponents

耗散型自组织系统耗散参量的临界指数刻划

The Critical Exponents of Dissipative Parameter in Dissipative Self-organized Systems

研究了一个奇异的、次临界指数的半线性椭圆方程。

A semilinear elliptic equation with singular and subcritical exponent is studied .

计算了渗流的临界指数，并与理论值比较，结果很好。

Critical exponents was calculated and its given good result .

估计了传统的临界指数1/νz。

The traditional critical exponent 1 / ν z was estimated also .

由普适性理论知，这些指数应该是三维近邻点渗流模型的临界指数。

These values are the critical exponents of three-dimension site-lattice .

一般非平衡定态相变系统的普适类及临界指数

Universal categories and critical exponents in general nonequilibrium stationary state phase transition systems

非平衡相变临界指数及普适性

Critical Exponent and Universal Category of Nonequilibrium Phase Transform

具有临界指数的拟线性椭圆型方程的特征值问题

Eigenvalue Problem of Quasilinear Elliptic Systems With Critical Exponent

具临界指数开问题的一类逼近

Approximation on the Open Problem with Critical Sobolev Exponent

探讨了一类非局部反应扩散方程组的临界指数，结果表明所研究的临界指数属于方程组解的爆破情况；

The critical exponent for a class of nonlocal reaction diffusion systems is discussed .