English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the shape, elasticity and fluctuations of the recently predicted(cond-mat/9510172) and subsequently observed (in numerical simulations)(cond-mat/9705059) tubule phase of anisotropic membranes, as well as the phasetransitions into and out of it. This novel phase lies between the previouslypredicted flat and crumpled phases, both in temperature and in its physicalproperties: it is crumpled in one direction, and extended in the other. Itsshape and elastic properties are characterized by a radius of gyration exponent$\nu$ and an anisotropy exponent $z$. We derive scaling laws for the radius ofgyration $R_G(L_\perp,L_y)$ (i.e. the average thickness) of the tubule about aspontaneously selected straight axis and for the tubule undulations$h_{rms}(L_\perp,L_y)$ transverse to its average extension. For phantom (i.e.non-self-avoiding) membranes, we predict $\nu=1/4$, $z=1/2$ and$\eta_\kappa=0$, exactly, in excellent agreement with simulations. Formembranes embedded in the space of dimension $d<11$, self-avoidance greatlyswells the tubule and suppresses its wild transverse undulations, changing itsshape exponents $\nu$ and $z$. We give detailed scaling results for the shapeof the tubule of an arbitrary aspect ratio and compute a variety of correlationfunctions, as well as the anomalous elasticity of the tubules. Finally wepresent a scaling theory for the shape of the membrane and its specific heatnear the continuous transitions into and out of the tubule phase and performdetailed renormalization group calculations for the crumpled-to-tubuletransition for phantom membranes.

Elasticity, shape fluctuations, and phase transitions in the new tubule phase of anisotropic tethered membranes