2010

Universal amplitude ratios in the 3D Ising Universality Class

Hasenbusch, Martin

Understand

We compute a number of universal amplitude ratios in the three-dimensional Ising universality class.

To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice.
For example, we obtain A_+/A_-=0.536(2) and C_+/C_-=4.713(7), where A_+- and C_+- are the amplitudes of the specific heat and the magnetic susceptibility, respectively.
The subscripts + and - indicate the high and the low temperature phase, respectively.

K. Binder and H. Rauch, Z. Phys. 219
1969
Earlier work this paper cites.
K. G. Wilson and J. Kogut, Phys. Rep. C 12
1974
Earlier work this paper cites.
M. E. Fisher, Rev. Mod. Phys. 46
1974
Earlier work this paper cites.
E. Brézin, J. C. Le Guillou, and J. Zinn-Justin, Phys. Lett. A 47
1974
Earlier work this paper cites.
A. Aharony and P. C. Hohenberg, Phys. Rev. B 13
1976
Earlier work this paper cites.
C. Bervillier and C. Godrèche, Phys. Rev. B 21
1980
Earlier work this paper cites.
M. N. Barber Finite-size Scaling in Phase Transitions and Critical Phenomena, Vol. 8,
1983
Earlier work this paper cites.
K. E. Newman and E. K. Riedel, Phys. Rev. B 30
1984
Earlier work this paper cites.
J. H. Chen, M. E. Fisher, and B. G. Nickel, Phys. Rev. Lett. 48
1985
Earlier work this paper cites.
K. Binder, J. Comp. Phys. 59
1985
Earlier work this paper cites.
J. F. Nicoll and P. C. Albright, Phys. Rev. B 31
1985
Earlier work this paper cites.
C. Bagnuls and C. Bervillier, Phys. Rev. B 32
1985
Earlier work this paper cites.
See, e.g., S. Wansleben, J. B. Zabolitzky, and C. Kalle, J. Stat. Phys. 37
1986
Earlier work this paper cites.
C. Bervillier, Phys. Rev. B 34
1986
Earlier work this paper cites.
D. P. Belanger and H. Yoshizawa, Phys. Rev. B 35
1987
Earlier work this paper cites.

R. C. Brower and P. Tamayo, Phys. Rev. Lett. 62
1989
Cited alongside, same era.
U. Wolff, Phys. Rev. Lett. 62
1989
Cited alongside, same era.
A. Aharony, P. C. Hohenberg and V. Privman, Universal critical point amplitude relations
1991
Cited alongside, same era.
C. Gutsfeld, J. Küster, and G. Münster, Nucl. Phys. B 479
1996
Cited alongside, same era.
M. Caselle and M. Hasenbusch, J. Phys. A 30
1997
Cited alongside, same era.
M. Deserno, Phys. Rev. E 56
1997
Cited alongside, same era.
M. E. Fisher, Rev. Mod. Phys. 70
1998
Cited alongside, same era.
M. Hasenbusch and K. Pinn, J. Phys. A 31
1998
Cited alongside, same era.
J. R. Heringa and H. W. J. Blöte, Phys. Rev. E 57
1998
Cited alongside, same era.
A. Pelissetto and E. Vicari, Nucl. Phys. B
1998
Cited alongside, same era.
R. Guida and J. Zinn-Justin, J. Phys. A 31
1998
Cited alongside, same era.
S. A. Larin, M. Mönnigmann, M. Strösser, and V. Dohm, Phys. Rev. B 58
1998
Cited alongside, same era.

M. Hasenbusch, Int. J. Mod. Phys. C 12
2001
Later among the works it cites.
M. Lüscher and P. Weisz, JHEP 0109
2001
Later among the works it cites.
A. W. Nowicki, M. Ghosh, S. M. McClellan, and D. T. Jacobs, J. Chem. Phys. 114
2001
Later among the works it cites.
A. Pelissetto and E. Vicari, Phys. Rept. 368
2002
Later among the works it cites.
M. Campostrini, A. Pelissetto, P. Rossi and E. Vicari, Phys. Rev. E 65
2002
Later among the works it cites.
C. Bagnuls, C. Bervillier, D. I. Meiron, and B. G. Nickel, Phys. Rev. B 35
2002
Later among the works it cites.
J. Engels, L. Fromme and M. Seniuch, Nucl. Phys. B 655
2003
Later among the works it cites.
M. Strösser and V. Dohm, Phys. Rev. E 67
2003
Later among the works it cites.
Y. Deng and H. W. J. Blöte, Phys. Rev. E 70
2004
Later among the works it cites.
M. Hasenbusch, J. Stat. Mech.: Theory Exp. 2006
2006
Later among the works it cites.
M. Saito and M. Matsumoto, “SIMD-oriented Fast Mersenne Twister: a 128-bit Pseudorandom Number Generator”, in Monte Carlo and Quasi-Monte Carlo Methods 2006
2007
Later among the works it cites.
M. Hasenbusch, J. Stat. Mech.: Theory Exp. 2008
Original
2008
Later among the works it cites.
M. Hasenbusch, Phys. Rev. B 82, 174433 (2010) [arXiv:1004.4486]
Original
2010
Closest in time.
X. Feng and H. W. J. Blöte, Phys. Rev. E 81
2010
Closest in time.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

Reading the bibliography…