Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Mouhanna, D."'
Publikováno v:
Phys. Rev. E 110, 054501 (2024)
We investigate the effects of quenched elastic disorder on the nature of the crumpling-to-flat transition of $D$-dimensional polymerized membranes using a two-loop computation near the upper critical dimension $D_c=4$. While the pure system undergoes
Externí odkaz:
http://arxiv.org/abs/2405.11663
Publikováno v:
Phys. Rev. D 108, L081702 (2023)
We introduce a technique relying on the use of auxiliary fields in order to eliminate explicit field-derivatives that plague the high orders renormalization group treatment of shift-symmetric, derivative, theories. This technique simplifies drastical
Externí odkaz:
http://arxiv.org/abs/2307.00600
In this conference report, we present a recent field theoretic renormalization group analysis of flat polymerized membranes at three-loop order by the present authors [Phys. Rev. E 105, L012603 (2022)].
Comment: (v1) 5 pages
Comment: (v1) 5 pages
Externí odkaz:
http://arxiv.org/abs/2210.04309
Autor:
Metayer, S., Mouhanna, D.
Publikováno v:
Phys. Rev. E 106, 064114 (2022)
We study quenched disordered polymerized membranes in their flat phase by means of a three-loop perturbative analysis performed in dimension $D = 4-\epsilon$. We derive the renormalization group equations at this order and solve them up to order $\ep
Externí odkaz:
http://arxiv.org/abs/2206.01633
Publikováno v:
Phys. Rev. E 105, L012603 (2022)
We derive the three-loop order renormalization group equations that describe the flat phase of polymerized membranes within the modified minimal subtraction scheme, following the pioneering one-loop order computation of Aronovitz and Lubensky [Phys.
Externí odkaz:
http://arxiv.org/abs/2109.03796
Autor:
Coquand, O., Mouhanna, D.
Publikováno v:
Phys. Rev. E 103, 031001 (2021)
One investigates the flat phase of quenched disordered polymerized membranes by means of a two-loop, weak-coupling computation performed near their upper critical dimension $D_{uc} = 4$, generalizing the one-loop computation of Morse, Lubensky and Gr
Externí odkaz:
http://arxiv.org/abs/2011.01550
Publikováno v:
Phys. Rev. E 101, 062104 (2020)
We investigate two complementary field-theoretical models describing the flat phase of polymerized - phantom - membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension $D_{uc}=4$, extending th
Externí odkaz:
http://arxiv.org/abs/2003.13973
Publikováno v:
Phys. Rev. E 101, 042602 (2020)
The wrinkling transition experimentally identified by Mutz et al. [Phys. Rev. Lett. 67, 923 (1991)] and then thoroughly studied by Chaieb et al. [Phys. Rev. Lett. 96, 078101 (2006)] in partially polymerized lipid membranes is reconsidered. One shows
Externí odkaz:
http://arxiv.org/abs/1909.13268
Publikováno v:
Phys. Rev. E 97, 030102 (2018)
We investigate the flat phase of $D$-dimensional crystalline membranes embedded in a $d$-dimensional space and submitted to both metric and curvature quenched disorders using a nonperturbative renormalization group approach. We identify a second orde
Externí odkaz:
http://arxiv.org/abs/1708.08364
Autor:
Mouhanna, D., Tarjus, G.
Publikováno v:
Phys. Rev. B 94, 214205 (2016)
We revisit the thermodynamic behavior of the random-anisotropy O($N$) model by investigating its large-$N$ limit. We focus on the system at zero temperature where the mean-field-like artifacts of the large-$N$ limit are less severe. We analyze the co
Externí odkaz:
http://arxiv.org/abs/1607.08515