Renormalization-group analysis of the crumpling transition in large d.
作者： Maya Paczuski , Mehran Kardar
关键词:
摘要: The crumpling transition of D-dimensional elastic membranes is studied for large dimensions embedding space d. magnetic and thermal critical exponents ${y}_{m}$ ${y}_{t}$ isotropic are obtained in a 1/d expansion. Both vanish simultaneously at lower dimension ${D}_{\mathrm{LC}=2\mathrm{\ensuremath{-}}2/\mathrm{d}+\mathrm{O}(1/{d}^{2}}$). We also consider the role self-avoidance anisotropies.
sci-hub.se 参考文章(11)
L. Peliti, S. Leibler, Effects of thermal fluctuations on systems with small surface tension. Physical Review Letters. ,vol. 54, pp. 1690- 1693 ,(1985) , 10.1103/PHYSREVLETT.54.1690
Yacov Kantor, Mehran Kardar, David R. Nelson, Statistical mechanics of tethered surfaces. Physical Review Letters. ,vol. 57, pp. 791- 794 ,(1986) , 10.1103/PHYSREVLETT.57.791
D.R. Nelson, L. Peliti, Fluctuations in membranes with crystalline and hexatic order Journal de Physique. ,vol. 48, pp. 1085- 1092 ,(1987) , 10.1051/JPHYS:019870048070108500
Yacov Kantor, David R. Nelson, Crumpling transition in polymerized membranes Physical Review Letters. ,vol. 58, pp. 2774- 2777 ,(1987) , 10.1103/PHYSREVLETT.58.2774
N. D. Mermin, H. Wagner, Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Physical Review Letters. ,vol. 17, pp. 1133- 1136 ,(1966) , 10.1103/PHYSREVLETT.17.1133
Maya Paczuski, Mehran Kardar, David R. Nelson, Landau theory of the crumpling transition. Physical Review Letters. ,vol. 60, pp. 2638- 2640 ,(1988) , 10.1103/PHYSREVLETT.60.2638
Joseph A. Aronovitz, T. C. Lubensky, Fluctuations of solid membranes. Physical Review Letters. ,vol. 60, pp. 2634- 2637 ,(1988) , 10.1103/PHYSREVLETT.60.2634
F David, E Guitter, Crumpling transition in elastic membranes: renormalization group treatment EPL. ,vol. 5, pp. 709- 713 ,(1988) , 10.1209/0295-5075/5/8/008
J. P. Bouchaud, E. Bouchaud, Comment on "Landau theory of the crumpling transition" Physical Review Letters. ,vol. 61, pp. 2625- 2625 ,(1988) , 10.1103/PHYSREVLETT.61.2625
E. Guitter, F. David, S. Leibler, L. Peliti, Crumpling and buckling transitions in polymerized membranes. Physical Review Letters. ,vol. 61, pp. 2949- 2952 ,(1988) , 10.1103/PHYSREVLETT.61.2949