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Aspects of the Renormalization Group

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자료유형학위논문
서명/저자사항Aspects of the Renormalization Group.
개인저자Raju, Archishman.
단체저자명Cornell University. Physics.
발행사항[S.l.]: Cornell University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항171 p.
기본자료 저록Dissertation Abstracts International 80-01B(E).
Dissertation Abstract International
ISBN9780438342590
학위논문주기Thesis (Ph.D.)--Cornell University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: James P. Sethna.
요약The main part of this thesis is on the renormalization group (RG). We will explore the results of the RG in two ways.
요약In the first part we use information geometry, in which the local distance between models measures their distinguishability from data, to quantify the flow of information under the renormalization group. We show that information about relevant p
요약In the second part, we use dynamical systems theory to systematize the results of the RG. The results of the RG are commonly advertised as the existence of power law singularities near critical points. The classic predictions are often violated
요약The RG is useful not just for systems in physics but has found application in a surprising variety of fields. In dynamical systems, it provided an nice explanation of the universality observed in the period doubling transition. We show the equiv
요약Finally, the last part of this thesis is on a very different topic. Here, we use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage ring
일반주제명Statistical physics.
Physics.
언어영어
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