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[en] The critical behavior of the Yvon-Born-Green integral equation for fluids is analyzed by a moment expansion which yields a nonlinear differential equation accurately describing the long-range correlations. Phase plane analyses show that for dimensions d< or =4 a critical point is characterized by h = 4-d with g(r)-1 negative for large distances, r, in contrast to normal expectations. For d>4 the differential equation allows g(r)-1>0 and h = 0 or 4-d. The compressibility never diverges if d = 1
Journal
Physical Review Letters; ISSN 0031-9007; 
; v. 46(13); p. 795-798
; v. 46(13); p. 795-798