Liftshitz-point critical behaviour to O(ϵ2)
نویسندگان
چکیده
منابع مشابه
Lifshitz - point critical behaviour to O ( ǫ 2 )
We comment on a recent letter by L. C. de Albuquerque and M. M. in which results to second order in ǫ = 4 − d + m 2 were presented for the critical exponents ν L2 , η L2 and γ L2 of d-dimensional systems at m-axial Lifshitz points. We point out that their results are at variance with ours. The discrepancy is due to their incorrect computation of momentum-space integrals. Their speculation that ...
متن کاملCritical End Point Behaviour in a Binary Fluid Mixture
We consider the liquid-gas phase boundary in a binary fluid mixture near its critical end point. Using general scaling arguments we show that the diameter of the liquid-gas coexistence curve exhibits singular behaviour as the critical end point is approached. This prediction is tested by means of extensive Monte-Carlo simulations of a symmetrical Lennard-Jones binary mixture within the grand ca...
متن کامل1 Reply on “ Lifshitz - point critical behaviour to O ( ǫ 2 L ) ”
We reply to a recent comment by H. W. Diehl and M. Shpot (condmat/0106502) criticizing our paper J. Phys. A: Math. Gen. 34 (2001) L327-332. We show that the approximation we use for evaluating higher-loop integrals is consistent with homogeneity. A new renormalization group approach is presented in order to compare the two methods with high-precision numerical data concerning the uniaxial case....
متن کاملA ug 2 00 1 Reply on “ Lifshitz - point critical behaviour to O ( ǫ 2 L ) ”
We reply to a recent comment by H. W. Diehl and M. Shpot (condmat/0106502) criticizing our paper J. Phys. A: Math. Gen. 34 (2001) L327-332. It is shown that their calculation is incomplete. PACS: 75.40.-s; 75.40.Cx; 64.60.Kw Typeset using REVTEX ∗e-mail:[email protected], [email protected] †e-mail:[email protected], [email protected] 1 In a recent paper Diehl and Shpot [1] (DS) criticize...
متن کاملcritical point
We have extended our method of grouping of Feynman diagrams (GFD theory) to study the transversal and longitudinal Greens functions G ⊥ (k) and G (k) in ϕ 4 model below the critical point (T < T c) in presence of an infinitesimal external field. Our method allows a qualitative analysis not cutting the perturbation series. We have shown that the critical behavior of the Greens functions is consi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/42/401