자료유형 | 학위논문 |
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서명/저자사항 | Aspects of Nucleation: Fluctuations, Nonuniform Order, and Curved Surfaces. |
개인저자 | Horsley, Eric Michael. |
단체저자명 | University of Pennsylvania. Physics and Astronomy. |
발행사항 | [S.l.]: University of Pennsylvania., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 124 p. |
기본자료 저록 | Dissertations Abstracts International 81-02B. Dissertation Abstract International |
ISBN | 9781085568401 |
학위논문주기 | Thesis (Ph.D.)--University of Pennsylvania, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
Advisor: Kamien, Randall D. |
이용제한사항 | This item must not be sold to any third party vendors. |
요약 | Transitions between various states of matter occur everywhere and are integral in the processes that make life, as we know it, possible. Given such importance in everyday life, it makes sense that considerable time has been spent looking for theories of these transitions. What makes our modern theories of phase transitions so powerful is their predictive ability despite ignoring the essential granularity of matter. Success in this manner has made field theory an indispensable tool. There are ordered states of matter, generally spoken of as having broken symmetries of the Euclidean group: broken translations for crystals and broken rotations for vector-like order. There are even more exotic states of matter such as smectic liquid crystals and diblock copolymers which manifest states that have fewer broken translations in a given dimension than would be necessary for the formation of crystalline structure. These exotic states are variously called striped or lamellar phases. We start with some general facts and features of transitions to these striped phases and discuss what may happen when these transitions occur on the surface of a sphere. Next we identify pollen cell surface patterning as an instance of this transition from disorder to a patterned state of matter on the surface of a sphere. The character of the transition is found to be first-order, which leads us to study the nucleation process and its kinetics on spherical surfaces. Lastly, we show how fluctuations lower the surface tension of nucleated droplets on a sphere relative to their flat space counterpart. |
일반주제명 | Physics. |
언어 | 영어 |
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