LDR | | 00000nmm u2200205 4500 |
001 | | 000000331227 |
005 | | 20241113131926 |
008 | | 181129s2018 ||| | | | eng d |
020 | |
▼a 9780438342590 |
035 | |
▼a (MiAaPQ)AAI10840063 |
035 | |
▼a (MiAaPQ)cornellgrad:10937 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
049 | 1 |
▼f DP |
082 | 0 |
▼a 530 |
100 | 1 |
▼a Raju, Archishman. |
245 | 10 |
▼a Aspects of the Renormalization Group. |
260 | |
▼a [S.l.] :
▼b Cornell University.,
▼c 2018 |
260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
300 | |
▼a 171 p. |
500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
500 | |
▼a Adviser: James P. Sethna. |
502 | 1 |
▼a Thesis (Ph.D.)--Cornell University, 2018. |
520 | |
▼a The main part of this thesis is on the renormalization group (RG). We will explore the results of the RG in two ways. |
520 | |
▼a 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 |
520 | |
▼a 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 |
520 | |
▼a 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 |
520 | |
▼a 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 |
590 | |
▼a School code: 0058. |
650 | 4 |
▼a Statistical physics. |
650 | 4 |
▼a Physics. |
690 | |
▼a 0217 |
690 | |
▼a 0605 |
710 | 20 |
▼a Cornell University.
▼b Physics. |
773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0058 |
791 | |
▼a Ph.D. |
792 | |
▼a 2018 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999707
▼n KERIS |
980 | |
▼a 201812
▼f 2019 |
990 | |
▼a 관리자
▼b 관리자 |