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Anomalous Dimension in the Solution of the Modified Porous Medium Equation

Anomalous Dimension in the Solution of the Modified Porous Medium Equation
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摘要 A new method - perturbative summation to infinite order is presented to obtain the anomalous dimension in the solution of the modified porous medium equation. The result is the same as that in the renormalization group (RG) approach. It gives us an insight into the anomalous exponent in the asymptotic solution of the modified porous medium equation in the RG approach. Based on this discussion, we can see that the anomalous dimension appears naturally in the problem and the nonlinearity reflects the anomalous long-time behavior of the system.
作者 TUTao CHENGGeng 等
机构地区 LaboratoryofQuantumCommunicationandQuantumComputation DepartmentofAstronomyandAppliedPhysics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第6期741-744,共4页 理论物理通讯（英文版）
基金 国家自然科学基金
关键词 renormalization group asymptotic analysis nonlinear diffusion equation 非线性偏微分方程 多孔介质方程 重整化群方法
分类号 O241.82 [理学—计算数学]
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Communications in Theoretical Physics
2002年 第6期

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