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Geometrical methods in soft condensed-matter physics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometrical methods in soft condensed-matter physics
作者:	Kung, William.
面頁冊數:	97 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-03, Section: B, page: 1375.
附註:	Supervisor: Randall D. Kamien.
Contained By:	Dissertation Abstracts International65-03B.
標題:	Physics, Condensed Matter.
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3125849
ISBN:	0496731386

Geometrical methods in soft condensed-matter physics
Kung, William.

Geometrical methods in soft condensed-matter physics [electronic resource] - 97 p.

Source: Dissertation Abstracts International, Volume: 65-03, Section: B, page: 1375.

Thesis (Ph.D.)--University of Pennsylvania, 2004.

We propose a geometrical picture of understanding the thermodynamic and elastic properties of charged and fuzzy colloidal crystals, by analogy to foams, as well as perform a computational exercise to confirm a new universality class for long polymers with non-trivial topologies. By the foam analogy, we relate the problem of thermodynamic stability to the Kelvin's problem of partitioning space into equal-volume cells of minimal surface area. In particular, we consider the face-centered cubic (FCC), body-centered cubic (BCC) and the beta-tungsten (A15) lattices. We write down the free energy of these solid phases directly in terms of geometric and microscopic parameters of the system, and we derive the theoretical phase diagram of an experimental charged colloidal systems [Phys. Rev. Lett. 62, 1524 (1989)]. By considering deformations to the foam cells, we also compute the cubic elastic constants of these three lattices for charged and fuzzy colloids. In the polymer problem, we consider the critical behavior of polymers much longer than their persistence length, with built-in topological constraint in the form of Fuller's relation: Lk = Tw + Wr in a theta-solvent. We map the problem to the three-dimensional symmetric U( N)-Chern Simons theory as N → 0. To two-loop order, we find a new scaling regime for the topologically constrained polymers, with critical exponents that depend on the chemical potential for writhe which gives way to a fluctuation-induced first-order transition.

ISBN: 0496731386Subjects--Topical Terms:

226939
Physics, Condensed Matter.

Geometrical methods in soft condensed-matter physics
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