A numerical method to calculate the muon relaxation function in the presence of diffusion

被引:1
|
作者
Allodi, G. [1 ]
De Renzi, R. [1 ]
机构
[1] Univ Parma, Dipartimento Fis & Sci Terra, I-43100 Parma, Italy
关键词
muon spin rotation and relaxation; numerical methods; Markov processes; disordered magnetism; FIELD SPIN RELAXATION; ZERO-FIELD; POSITIVE MUONS; DISORDERED MAGNETS; STOCHASTIC-THEORY; GLASSES; AUFE;
D O I
10.1088/0031-8949/89/11/115201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an accurate and efficient method to calculate the effect of random fluctuations of the local field at the muon, for instance in the case of muon diffusion, within the framework of the strong collision approximation. The method is based on a reformulation of the Markovian process over a discretized time base, leading to a summation equation for the muon polarization function which is solved by discrete Fourier transform. The latter is formally analogous, though not identical, to the integral equation of the original continuous-time model, solved by Laplace transform. With real-case parameter values, the solution of the discrete-time strong collision model is found to approximate the continuous-time solution with excellent accuracy even with a coarse-grained time sampling. Its calculation by the fast Fourier transform algorithm is very efficient and suitable for real time fitting of experimental data even on a slow computer.
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页数:8
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