Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11663 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912108761841664 |
|---|---|
| author | Delzescaux, L. Mouhanna, D. Tissier, M. |
| author_facet | Delzescaux, L. Mouhanna, D. Tissier, M. |
| contents | 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 fluctuation-induced first order transitions below $D_c$ and for an embedding dimension $d<d_{c,pure}\simeq 218.2$, one observes, in presence of disorder, the emergence of various regions of second order governed by a disordered stable fixed point for $d<d_{c1}\sim d_{c,pure}$. This opens the possibility of a new universality class associated with the crumpling-to-flat transition of disordered membranes in $d=3$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crumpled-to-flat transition of quenched disordered membranes at two-loop order Delzescaux, L. Mouhanna, D. Tissier, M. Disordered Systems and Neural Networks High Energy Physics - Theory 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 fluctuation-induced first order transitions below $D_c$ and for an embedding dimension $d<d_{c,pure}\simeq 218.2$, one observes, in presence of disorder, the emergence of various regions of second order governed by a disordered stable fixed point for $d<d_{c1}\sim d_{c,pure}$. This opens the possibility of a new universality class associated with the crumpling-to-flat transition of disordered membranes in $d=3$ |
| title | Crumpled-to-flat transition of quenched disordered membranes at two-loop order |
| topic | Disordered Systems and Neural Networks High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.11663 |