guest ::
| Home > Publications database > Topology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions > print |
| Home > Publications database > Topology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions > print |
| 001 | 904542 | ||
| 005 | 20240625095123.0 | ||
| 024 | 7 | _ | |a 10.3390/e23111414 |2 doi |
| 024 | 7 | _ | |a 1099-4300 |2 ISSN |
| 024 | 7 | _ | |a 2128/30613 |2 Handle |
| 024 | 7 | _ | |a altmetric:115886901 |2 altmetric |
| 024 | 7 | _ | |a pmid:34828112 |2 pmid |
| 024 | 7 | _ | |a WOS:000724133900001 |2 WOS |
| 037 | _ | _ | |a FZJ-2021-06112 |
| 082 | _ | _ | |a 510 |
| 100 | 1 | _ | |a Di Cairano, Loris |0 P:(DE-Juel1)176760 |b 0 |u fzj |
| 245 | _ | _ | |a Topology and Phase Transitions: A First Analytical Step towards the Definition of Sufficient Conditions |
| 260 | _ | _ | |a Basel |c 2021 |b MDPI |
| 336 | 7 | _ | |a article |2 DRIVER |
| 336 | 7 | _ | |a Output Types/Journal article |2 DataCite |
| 336 | 7 | _ | |a Journal Article |b journal |m journal |0 PUB:(DE-HGF)16 |s 1643354475_26921 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a JOURNAL_ARTICLE |2 ORCID |
| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a Different arguments led to supposing that the deep origin of phase transitions has to be identified with suitable topological changes of potential related submanifolds of configuration space of a physical system. An important step forward for this approach was achieved with two theorems stating that, for a wide class of physical systems, phase transitions should necessarily stem from topological changes of energy level submanifolds of the phase space. However, the sufficiency conditions are still a wide open question. In this study, a first important step forward was performed in this direction; in fact, a differential equation was worked out which describes how entropy varies as a function of total energy, and this variation is driven by the total energy dependence of a topology-related quantity of the relevant submanifolds of the phase space. Hence, general conditions can be in principle defined for topology-driven loss of differentiability of the entropy. |
| 536 | _ | _ | |a 899 - ohne Topic (POF4-899) |0 G:(DE-HGF)POF4-899 |c POF4-899 |f POF IV |x 0 |
| 588 | _ | _ | |a Dataset connected to CrossRef, Journals: juser.fz-juelich.de |
| 700 | 1 | _ | |a Gori, Matteo |0 P:(DE-HGF)0 |b 1 |
| 700 | 1 | _ | |a Pettini, Marco |0 P:(DE-HGF)0 |b 2 |e Corresponding author |
| 773 | _ | _ | |a 10.3390/e23111414 |g Vol. 23, no. 11, p. 1414 - |0 PERI:(DE-600)2014734-X |n 11 |p 1414 - |t Entropy |v 23 |y 2021 |x 1099-4300 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/904542/files/entropy-23-01414-v2.pdf |y OpenAccess |
| 909 | C | O | |o oai:juser.fz-juelich.de:904542 |p openaire |p open_access |p VDB |p driver |p dnbdelivery |
| 910 | 1 | _ | |a Forschungszentrum Jülich |0 I:(DE-588b)5008462-8 |k FZJ |b 0 |6 P:(DE-Juel1)176760 |
| 910 | 1 | _ | |a External Institute |0 I:(DE-HGF)0 |k Extern |b 1 |6 P:(DE-HGF)0 |
| 910 | 1 | _ | |a External Institute |0 I:(DE-HGF)0 |k Extern |b 2 |6 P:(DE-HGF)0 |
| 913 | 1 | _ | |a DE-HGF |b Programmungebundene Forschung |l ohne Programm |1 G:(DE-HGF)POF4-890 |0 G:(DE-HGF)POF4-899 |3 G:(DE-HGF)POF4 |2 G:(DE-HGF)POF4-800 |4 G:(DE-HGF)POF |v ohne Topic |x 0 |
| 914 | 1 | _ | |y 2021 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0200 |2 StatID |b SCOPUS |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0160 |2 StatID |b Essential Science Indicators |d 2021-05-04 |
| 915 | _ | _ | |a Creative Commons Attribution CC BY 4.0 |0 LIC:(DE-HGF)CCBY4 |2 HGFVOC |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0600 |2 StatID |b Ebsco Academic Search |d 2021-05-04 |
| 915 | _ | _ | |a JCR |0 StatID:(DE-HGF)0100 |2 StatID |b ENTROPY-SWITZ : 2019 |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0501 |2 StatID |b DOAJ Seal |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0500 |2 StatID |b DOAJ |d 2021-05-04 |
| 915 | _ | _ | |a WoS |0 StatID:(DE-HGF)0113 |2 StatID |b Science Citation Index Expanded |d 2021-05-04 |
| 915 | _ | _ | |a Fees |0 StatID:(DE-HGF)0700 |2 StatID |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0150 |2 StatID |b Web of Science Core Collection |d 2021-05-04 |
| 915 | _ | _ | |a IF < 5 |0 StatID:(DE-HGF)9900 |2 StatID |d 2021-05-04 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 915 | _ | _ | |a Peer Review |0 StatID:(DE-HGF)0030 |2 StatID |b ASC |d 2021-05-04 |
| 915 | _ | _ | |a Article Processing Charges |0 StatID:(DE-HGF)0561 |2 StatID |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)1150 |2 StatID |b Current Contents - Physical, Chemical and Earth Sciences |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0300 |2 StatID |b Medline |d 2021-05-04 |
| 915 | _ | _ | |a DBCoverage |0 StatID:(DE-HGF)0199 |2 StatID |b Clarivate Analytics Master Journal List |d 2021-05-04 |
| 920 | _ | _ | |l yes |
| 920 | 1 | _ | |0 I:(DE-Juel1)IAS-5-20120330 |k IAS-5 |l Computational Biomedicine |x 0 |
| 920 | 1 | _ | |0 I:(DE-Juel1)INM-9-20140121 |k INM-9 |l Computational Biomedicine |x 1 |
| 980 | _ | _ | |a journal |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a I:(DE-Juel1)IAS-5-20120330 |
| 980 | _ | _ | |a I:(DE-Juel1)INM-9-20140121 |
| 980 | 1 | _ | |a FullTexts |
| Library | Collection | CLSMajor | CLSMinor | Language | Author |
|---|