Title:	Novel wall defects in Lamellar soft matter
Authors:	Saichand, C.
Thesis Advisor:	Hatwalne, Yashodhan Roy, Arun
Subject:	Soft condensed matter
Issue Date:	30-Mar-2023
Publisher:	Raman Research Institute
Citation:	Ph.D. Thesis, Jawaharlal Nehru University, New Delhi, 2023
Abstract:	Two-dimensional soft materials such as flexible membranes offer an ideal testing ground for fundamental concepts involving order (symmetry), low-energy excitations, topological defects, and fluctuations. This thesis studies the interplay between geometry, topology, and elasticity in two-dimensional soft materials. Gaussian (intrinsic) curvature of membranes acts as a source of topological defects in orientational order [1, 2]. Conversely, topological defects tend to bend flat, deformable ordered membranes to reduce in-plane stresses. Positive and negative disclinations (vortices) prefer locally positive and negative Gaussian curvatures respectively. The interplay between Gaussian curvature and topological defects is strikingly illustrated by the Poincaré-Hopf index theorem. According to this theorem, a sphere with in-plane orientational order must have an isolated disclination or isolated disclinations with total index 2.
Description:	Restricted Access
URI:	http://hdl.handle.net/2289/8075
Copyright:	This thesis is posted here with the permission of the author. Personal use of this material is permitted. Any other use requires prior permission of the author. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
Appears in Collections:	Theses (SCM)

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