Prog. Theor. Phys. Vol. 49 No. 5 (1973) pp. 1440-1450

[ Full Text PDF : FREE ACCESS (691K) ]

Critical Exponents for Long-Range Interactions. III

— Scaled Equation of State —

Masuo Suzuki

Institute for Solid State Physics, University of Tokyo, Roppongi, Minato-ku, Tokyo

(Received October 27, 1972)

Abstract:

The extended scaled equation of state (namely, the scaled form of the wave-number dependent nonlinear susceptibility) is confirmed up to the first order of 1/n, in the classical n-vector model with general range of interactions. Critical exponents γ, δ, η, ν and Δ are evaluated systematically to order 1/n, both for short-range and long-range interactions to check universality and scaling relations.

URL : http://ptp.ipap.jp/link?PTP/49/1440/
DOI : 10.1143/PTP.49.1440

References:

M. Suzuki, Phys. Lett. A 42 (1972), 5[CrossRef]; Prog. Theor. Phys. 49 (1973), 424[PTP].
M. Suzuki, Prog. Theor. Phys. 49 (1973), 1106[PTP].
M. E. Fisher, S. Ma and B. G. Nickel, Phys. Rev. Lett. 29 (1972), 917[APS].
S. Ma, Phys. Rev. Lett. 29 (1972), 1331[APS]; Phys. Rev. A 7 (1973), 2172[APS].
K. G. Wilson, Phys. Rev. Lett. 28 (1972), 548[APS].
M. Suzuki, Phys. Rev. Lett. 28 (1972), 508[APS].
H. E. Stanley, Phys. Rev. 176 (1968), 718[APS].
G. S. Joyce, Phys. Rev. 146 (1966), 349[APS].
See also G. S. Joyce in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic Press) Vol. 2 (1972), p. 375.
M. Suzuki, Prog. Theor. Phys. 38 (1967), 289[PTP]; ibid. 38 (1967), 744[PTP]; ibid. 38 (1967), 1225[PTP].
R. Abe, Prog. Theor. Phys. 48 (1972), 1414[PTP]; ibid. 49 (1973), 113[PTP].
R. Abe and S. Hikami, Prog. Theor. Phys. 49 (1973), 442[PTP].
S. Hikami, Prog. Theor. Phys. 49 (1973), 1096[PTP].
A. A. Migdal, JETP 62 (1972), 1559.
E. Brezin, D. J. Wallace and K. G. Wilson, Phys. Rev. Lett. 29 (1972), 591[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 49 No. 5 (1973) pp. 1451-1458 :
Critical Behavior of the Anisotropic Classical n-Vector Model

Masuo Suzuki
Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 393-408 :
On the Expansion Theory of Critical Exponents

Masuo Suzuki
Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 1085-1086 :
On the Critical Behavior of the Two-Dimensional Heisenberg-Ising Model

Masuo Suzuki and Fumihiko Tanaka
Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 1097-1098 :
Calculation of the Cross-Over Exponent by Using Callan-Symanzik Equations

Yoshitake Yamazaki and Masuo Suzuki
Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 344-346 :
Critical Dynamics in Bose Systems

Masuo Suzuki and Fumihiko Tanaka
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 369-378 :
Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion

Shinobu Hikami and Ryuzo Abe