Configuration space for random walk dynamics

European Physical Journal B

Volumn 6, Issue 3, 1998, Pages 395-398

  Berg, B A ^a,b   Hansmann, U H E ^c  

^a Florida State University   (United States)

^b Supercomputer Computations Res I   (United States)

^c MICHIGAN TECHNOLOGICAL UNIVERSITY   (United States)

Author keywords

5.50.+q Lattice theory and statistics; Ising problems; 75.40.Mg Numerical simulation studies

Indexed keywords

EID: 0000282190     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050566     Document Type: Article

References (14)

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3. B.A. Berg, U. Hansmann, T. Neuhaus, Z. Phys. 90, 229 (1993); N.B. Wilding, M. Müller, J. Chem. Phys. 102, 2562 (1995); W. Janke, S. Kappler, Phys. Rev. Lett. 74, 212 (1995).
4. B.A. Berg, U. Hansmann, T. Neuhaus, Z. Phys. 90, 229 (1993); N.B. Wilding, M. Müller, J. Chem. Phys. 102, 2562 (1995); W. Janke, S. Kappler, Phys. Rev. Lett. 74, 212 (1995).
5. B.A. Berg, U. Hansmann, T. Neuhaus, Z. Phys. 90, 229 (1993); N.B. Wilding, M. Müller, J. Chem. Phys. 102, 2562 (1995); W. Janke, S. Kappler, Phys. Rev. Lett. 74, 212 (1995).
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7. B.A. Berg, Nucl. Phys. B (Proc. Suppl.) 63A-C, 982 (1998); J. Stat. Phys. 82, 323 (1996).
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9. B.A. Berg, Nature 361. 708 (1993); Comp. Phys. Commun. 98, 35 (1996).
10. P.M.C. de Oliveira, T.J.P. Penna, H.J. Herrmann, Braz. J. Phys. 26, 677 (1996); Eur. Phys. J. B 1, 205 (1998); after submitting our paper we were informed about one further reference: P.M.C. de Oliveira, Int. J. Mod. Phys. C 9, 497 (1998).
11. P.M.C. de Oliveira, T.J.P. Penna, H.J. Herrmann, Braz. J. Phys. 26, 677 (1996); Eur. Phys. J. B 1, 205 (1998); after submitting our paper we were informed about one further reference: P.M.C. de Oliveira, Int. J. Mod. Phys. C 9, 497 (1998).
12. P.M.C. de Oliveira, T.J.P. Penna, H.J. Herrmann, Braz. J. Phys. 26, 677 (1996); Eur. Phys. J. B 1, 205 (1998); after submitting our paper we were informed about one further reference: P.M.C. de Oliveira, Int. J. Mod. Phys. C 9, 497 (1998).
13. Without this cut-off the RW would extend all the way to E/N = +2, where a method of return has then to be imposed anyway. In our RW simulations slowing down (measured in CPU time) is with the square (or worse) of the length of the RW. Hence, without this cut-off CPU time consumption would increase by at least a factor of four.
14. For the 1d Ising model RW and microcanonical expectation values for N̄i(E) may agree due to the trivial character of the model: It has only one FG for i ≥ 1 and one FG for i ≤ -1.