Statistical mechanics of membranes and surfaces

By D. Nelson, T. Piran, S. Weinberg. 2004

758 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b538b0fe671523376dfa6d69898c1f1c4ae92ac7

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In Mechanical Engineering

Citations in the corpus

Graphene as an electronic membrane (2007, background): “This offers a new perspective for appreciating physics of membranes in addition to soft matter (especially biological systems) perspective [6].”
Mesoscopic models of biological membranes (2006, background): “Because the description of continuum models is outside the scope of this review—for a review of continuum models see [28,29]—here we just mention that continuum models view a membrane as an infinitely thin elastic sheet described by its free energy of deformation.”
On the roughness of single- and bi-layer graphene membranes (2007, background): “can increase the thermodynamic stability of (possibly strained) graphene membranes, and may in fact be energetically more favourable [24–26].”
Materials perspective on Casimir and van der Waals interactions (2015, background): “In single component membranes, where κr and κr are constant, the κr term is zero when the membrane is a free-floating sheet, since by virtue of the Gauss-Bonnet theorem it only depends on the boundary and topology of the membrane (David, 2004).”
Thermomechanics of monolayer graphene: Rippling, thermal expansion and elasticity (2014, methodology): “The SM approach has been used extensively for the study of flexible membranes (Bowick and Travesset, 2001; Nelson et al., 2004; Freund, 2013), primarily for biological membranes.”
The rise of graphene. (2007, background): “A complementary viewpoint is that the extracted 2D crystals become intrinsically stable by gentle crumpling in the third dimensio”
The Geometry of Soft Materials: A Primer (2002, background): “An excellent complement to these notes are the lecture notes by François David (David, 1989) which present the mathematical elegance and logical compactness of this subject.”
NONLINEAR MECHANICS OF SINGLE-ATOMIC-LAYER GRAPHENE SHEETS (2009, background): “Keywords: Graphene; nonlinear elasticity; molecular mechanics.”
The electronic properties of graphene (2007, background): “This is noth-ing but the rumpling instability of soft membranes(Chaikin and Lubensky, 1995; Nelson et al., 2004).”