자료유형 | 학위논문 |
---|---|
서명/저자사항 | Aspects of the Renormalization Group. |
개인저자 | Raju, Archishman. |
단체저자명 | Cornell University. Physics. |
발행사항 | [S.l.]: Cornell University., 2018. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
형태사항 | 171 p. |
기본자료 저록 | Dissertation Abstracts International 80-01B(E). Dissertation Abstract International |
ISBN | 9780438342590 |
학위논문주기 | Thesis (Ph.D.)--Cornell University, 2018. |
일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: James P. Sethna. |
요약 | The main part of this thesis is on the renormalization group (RG). We will explore the results of the RG in two ways. |
요약 | In 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 |
요약 | In 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 |
요약 | The 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 |
요약 | Finally, 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 |
일반주제명 | Statistical physics. Physics. |
언어 | 영어 |
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