Exact solution for random walks on the triangular lattice with absorbing boundaries
被引:9
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作者:
Batchelor, MT
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机构:
Australian Natl Univ, Res Sch Phys Sci & Engn, Dept Theoret Phys, Canberra, ACT 0200, AustraliaAustralian Natl Univ, Res Sch Phys Sci & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
Batchelor, MT
[1
]
Henry, BI
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机构:Australian Natl Univ, Res Sch Phys Sci & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
Henry, BI
机构:
[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia
[2] Australian Natl Univ, Sch Math Sci, Ctr Math & Applicat, Canberra, ACT 0200, Australia
[3] Univ New S Wales, Sch Math, Dept Appl Math, Sydney, NSW 2052, Australia
来源:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
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2002年
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35卷
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29期
关键词:
D O I:
10.1088/0305-4470/35/29/301
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
The problem of a random walk on a finite triangular lattice with a single interior source point and zig-zag absorbing boundaries is solved exactly. This problem has been previously considered intractable.