Recent developments in ising spin glasses

International Journal of Modern Physics C

Volumn 7, Issue 3, 1996, Pages 327-335

  Young, A P ^a   Kawashima, N ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

^c TOHO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030488507     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183196000260     Document Type: Article

References (20)

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16. 18) for these temperatures.
17. As a partial check of the random number generator, we also did high precision runs for L = 6, 8 and 12 at the lowest temperature, Τ = 0.96180, using a stride of 1279, rather than 250, and with multiply, rather than XOR, since this generator is better for the Metropolis algorithm (P. Coddington, private communication). We find that the results are unchanged within statistical errors; in particular we still find a statistically significant increase in g with L.
18. K. Binder, Z. Phys. B 43, 119 (1981).
19. In a random systems one can define the Binder ratio in different ways. Another possibility would be to determine the ratio of moments for a single sample and then average this over samples. However, there are systematic errors in evaluating the ratio. Since we obtain only a few statistically independent measurements for each sample, these systematic errors would be large and uncontrolled if the Binder ratio were determined in this way.
20. K. Hukushima, K. Nemoto and H. Takayama, (these proceedings).