Matches in SemOpenAlex for { <https://semopenalex.org/work/W2944702981> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2944702981 abstract "A problem of great theoretical interest in thermodynamics is the possibility of phase transitions. Many dynamical systems exhibit behavior that is remarkably similar to phase transitions. Polymer gelation, shattering in fragmentation, the spread of epidemics, and the emergence of long-range connectivity in artificial and neural networks are examples of the emergence of a giant coherent structure, a behavior that is often discussed qualitatively in the language of phase transitions. If generic population obey thermodynamics, do they also undergo phase transitions? The answer is, yes. As in molecular thermodynamics, phase splitting in the cluster ensemble is associated with the violation of the stability conditions that guarantee the existence of a maximum in the microcanonical weight that defines the most probable distribution. In this chapter we formalize the stability conditions that ensure the existence of the most probable distribution and identify the giant cluster as a phase that is distinct from the sol, a stable population of dispersed clusters. We discuss two mathematical models that give rise to a giant cluster and solve them analytically. A kinetic model of gelation with a closer connection to a physical system of reacting polymers will be discussed in Chap. 9." @default.
- W2944702981 created "2019-05-16" @default.
- W2944702981 creator A5058603985 @default.
- W2944702981 date "2018-01-01" @default.
- W2944702981 modified "2023-09-27" @default.
- W2944702981 title "Phase Transitions: The Giant Cluster" @default.
- W2944702981 cites W2626003242 @default.
- W2944702981 doi "https://doi.org/10.1007/978-3-030-04149-6_5" @default.
- W2944702981 hasPublicationYear "2018" @default.
- W2944702981 type Work @default.
- W2944702981 sameAs 2944702981 @default.
- W2944702981 citedByCount "0" @default.
- W2944702981 crossrefType "book-chapter" @default.
- W2944702981 hasAuthorship W2944702981A5058603985 @default.
- W2944702981 hasConcept C112972136 @default.
- W2944702981 hasConcept C119857082 @default.
- W2944702981 hasConcept C121332964 @default.
- W2944702981 hasConcept C121864883 @default.
- W2944702981 hasConcept C144024400 @default.
- W2944702981 hasConcept C149288129 @default.
- W2944702981 hasConcept C149923435 @default.
- W2944702981 hasConcept C164866538 @default.
- W2944702981 hasConcept C199360897 @default.
- W2944702981 hasConcept C2908647359 @default.
- W2944702981 hasConcept C33332235 @default.
- W2944702981 hasConcept C41008148 @default.
- W2944702981 hasConcept C44280652 @default.
- W2944702981 hasConcept C62520636 @default.
- W2944702981 hasConcept C97355855 @default.
- W2944702981 hasConceptScore W2944702981C112972136 @default.
- W2944702981 hasConceptScore W2944702981C119857082 @default.
- W2944702981 hasConceptScore W2944702981C121332964 @default.
- W2944702981 hasConceptScore W2944702981C121864883 @default.
- W2944702981 hasConceptScore W2944702981C144024400 @default.
- W2944702981 hasConceptScore W2944702981C149288129 @default.
- W2944702981 hasConceptScore W2944702981C149923435 @default.
- W2944702981 hasConceptScore W2944702981C164866538 @default.
- W2944702981 hasConceptScore W2944702981C199360897 @default.
- W2944702981 hasConceptScore W2944702981C2908647359 @default.
- W2944702981 hasConceptScore W2944702981C33332235 @default.
- W2944702981 hasConceptScore W2944702981C41008148 @default.
- W2944702981 hasConceptScore W2944702981C44280652 @default.
- W2944702981 hasConceptScore W2944702981C62520636 @default.
- W2944702981 hasConceptScore W2944702981C97355855 @default.
- W2944702981 hasLocation W29447029811 @default.
- W2944702981 hasOpenAccess W2944702981 @default.
- W2944702981 hasPrimaryLocation W29447029811 @default.
- W2944702981 hasRelatedWork W1616495074 @default.
- W2944702981 hasRelatedWork W1966790805 @default.
- W2944702981 hasRelatedWork W1968760515 @default.
- W2944702981 hasRelatedWork W1993359141 @default.
- W2944702981 hasRelatedWork W2019553536 @default.
- W2944702981 hasRelatedWork W2037128268 @default.
- W2944702981 hasRelatedWork W2051551291 @default.
- W2944702981 hasRelatedWork W2054036674 @default.
- W2944702981 hasRelatedWork W2072122129 @default.
- W2944702981 hasRelatedWork W2273447324 @default.
- W2944702981 hasRelatedWork W2281622371 @default.
- W2944702981 hasRelatedWork W2292328547 @default.
- W2944702981 hasRelatedWork W2350626545 @default.
- W2944702981 hasRelatedWork W2495262114 @default.
- W2944702981 hasRelatedWork W2889651200 @default.
- W2944702981 hasRelatedWork W2898825259 @default.
- W2944702981 hasRelatedWork W2952051178 @default.
- W2944702981 hasRelatedWork W2987600028 @default.
- W2944702981 hasRelatedWork W3102483119 @default.
- W2944702981 hasRelatedWork W3204311853 @default.
- W2944702981 isParatext "false" @default.
- W2944702981 isRetracted "false" @default.
- W2944702981 magId "2944702981" @default.
- W2944702981 workType "book-chapter" @default.