Matches in SemOpenAlex for { <https://semopenalex.org/work/W2062583886> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2062583886 endingPage "616" @default.
- W2062583886 startingPage "603" @default.
- W2062583886 abstract "Due to both the infinite range and singularity of the Newtonian gravitational potential, the thermodynamics of systems with predominantly gravitational forces differs greatly from “chemical” systems dominated by short-range inter-atomic forces. Consider a typical star: As it ages it radiates energy, contracts, and gets hotter. Therefore, its heat capacity is negative, a situation which cannot exist in a chemical system. Here we will consider an idealized class of model gravitational systems consisting of concentric, thin, mass shells. Using both mean field theory and dynamical simulation, we will show that when the singularity is shielded, as it must be in nature, even if the shells are non-rotating, the system can undergo a phase-transition to a more centrally condensed state. We will describe the main features of the transition, show how it contradicts our usual intuition, and discuss possible astrophysical applications. We then discuss the case where the shells are allowed to rotate. We will show that if all the shells have the same squared angular momentum, then the rotational barrier can induce a phase-transition without the need for additional shielding. Finally we use the fact that for a spherical system in the mean field limit there is an additional integral of the motion besides the energy, namely the sum of the squares of the angular momentum, to introduce and study two new ensembles. We show that gravothermal catastrophe is still possible in generalizations of both the canonical ensemble (CE) and microcanonical ensemble (MCE) which include the additional integral and, therefore, in the absence of additional shielding, a phase-transition will be excluded." @default.
- W2062583886 created "2016-06-24" @default.
- W2062583886 creator A5012041729 @default.
- W2062583886 creator A5017533758 @default.
- W2062583886 creator A5030442535 @default.
- W2062583886 date "2002-03-01" @default.
- W2062583886 modified "2023-09-27" @default.
- W2062583886 title "Spherical gravitating systems" @default.
- W2062583886 cites W1666672155 @default.
- W2062583886 cites W1974318214 @default.
- W2062583886 cites W1984809868 @default.
- W2062583886 cites W1986348618 @default.
- W2062583886 cites W1998904626 @default.
- W2062583886 cites W1998950032 @default.
- W2062583886 cites W2000848746 @default.
- W2062583886 cites W2001085397 @default.
- W2062583886 cites W2001100422 @default.
- W2062583886 cites W2020291889 @default.
- W2062583886 cites W2047073522 @default.
- W2062583886 cites W2049141041 @default.
- W2062583886 cites W2079764757 @default.
- W2062583886 cites W2087005401 @default.
- W2062583886 cites W2126795552 @default.
- W2062583886 cites W2170120409 @default.
- W2062583886 cites W2315268188 @default.
- W2062583886 cites W3005866413 @default.
- W2062583886 doi "https://doi.org/10.1016/s0960-0779(01)00043-1" @default.
- W2062583886 hasPublicationYear "2002" @default.
- W2062583886 type Work @default.
- W2062583886 sameAs 2062583886 @default.
- W2062583886 citedByCount "1" @default.
- W2062583886 countsByYear W20625838862017 @default.
- W2062583886 crossrefType "journal-article" @default.
- W2062583886 hasAuthorship W2062583886A5012041729 @default.
- W2062583886 hasAuthorship W2062583886A5017533758 @default.
- W2062583886 hasAuthorship W2062583886A5030442535 @default.
- W2062583886 hasConcept C101683677 @default.
- W2062583886 hasConcept C105795698 @default.
- W2062583886 hasConcept C121332964 @default.
- W2062583886 hasConcept C121864883 @default.
- W2062583886 hasConcept C124017977 @default.
- W2062583886 hasConcept C142475440 @default.
- W2062583886 hasConcept C14257148 @default.
- W2062583886 hasConcept C149288129 @default.
- W2062583886 hasConcept C155675718 @default.
- W2062583886 hasConcept C16171025 @default.
- W2062583886 hasConcept C169146920 @default.
- W2062583886 hasConcept C19499675 @default.
- W2062583886 hasConcept C202213908 @default.
- W2062583886 hasConcept C2524010 @default.
- W2062583886 hasConcept C2779408389 @default.
- W2062583886 hasConcept C28556851 @default.
- W2062583886 hasConcept C33923547 @default.
- W2062583886 hasConcept C62520636 @default.
- W2062583886 hasConcept C74650414 @default.
- W2062583886 hasConceptScore W2062583886C101683677 @default.
- W2062583886 hasConceptScore W2062583886C105795698 @default.
- W2062583886 hasConceptScore W2062583886C121332964 @default.
- W2062583886 hasConceptScore W2062583886C121864883 @default.
- W2062583886 hasConceptScore W2062583886C124017977 @default.
- W2062583886 hasConceptScore W2062583886C142475440 @default.
- W2062583886 hasConceptScore W2062583886C14257148 @default.
- W2062583886 hasConceptScore W2062583886C149288129 @default.
- W2062583886 hasConceptScore W2062583886C155675718 @default.
- W2062583886 hasConceptScore W2062583886C16171025 @default.
- W2062583886 hasConceptScore W2062583886C169146920 @default.
- W2062583886 hasConceptScore W2062583886C19499675 @default.
- W2062583886 hasConceptScore W2062583886C202213908 @default.
- W2062583886 hasConceptScore W2062583886C2524010 @default.
- W2062583886 hasConceptScore W2062583886C2779408389 @default.
- W2062583886 hasConceptScore W2062583886C28556851 @default.
- W2062583886 hasConceptScore W2062583886C33923547 @default.
- W2062583886 hasConceptScore W2062583886C62520636 @default.
- W2062583886 hasConceptScore W2062583886C74650414 @default.
- W2062583886 hasIssue "3" @default.
- W2062583886 hasLocation W20625838861 @default.
- W2062583886 hasOpenAccess W2062583886 @default.
- W2062583886 hasPrimaryLocation W20625838861 @default.
- W2062583886 hasRelatedWork W1966541354 @default.
- W2062583886 hasRelatedWork W1967997419 @default.
- W2062583886 hasRelatedWork W1994642626 @default.
- W2062583886 hasRelatedWork W2052103030 @default.
- W2062583886 hasRelatedWork W2073951247 @default.
- W2062583886 hasRelatedWork W2126795552 @default.
- W2062583886 hasRelatedWork W2530504233 @default.
- W2062583886 hasRelatedWork W2883148656 @default.
- W2062583886 hasRelatedWork W3098826176 @default.
- W2062583886 hasRelatedWork W3098887121 @default.
- W2062583886 hasVolume "13" @default.
- W2062583886 isParatext "false" @default.
- W2062583886 isRetracted "false" @default.
- W2062583886 magId "2062583886" @default.
- W2062583886 workType "article" @default.