Matches in SemOpenAlex for { <https://semopenalex.org/work/W2729408876> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2729408876 abstract "We discuss thermotropic nematic liquid crystals in the mean-field regime. In the first part of this article, we rigorously carry out the mean-field limit of a system of $N$ rod-like particles as $Ntoinfty$, which yields an effective `one-body' free energy functional. In the second part, we focus on spatially homogeneous systems, for which we study the associated Euler-Lagrange equation, with a focus on phase transitions for general axisymmetric potentials. We prove that the system is isotropic at high temperature, while anisotropic distributions appear through a transcritical bifurcation as the temperature is lowered. Finally, as the temperature goes to zero we also prove, in the concrete case of the Maier-Saupe potential, that the system converges to perfect nematic order." @default.
- W2729408876 created "2017-07-14" @default.
- W2729408876 creator A5012745001 @default.
- W2729408876 creator A5059026410 @default.
- W2729408876 date "2015-08-20" @default.
- W2729408876 modified "2023-09-23" @default.
- W2729408876 title "Mean-field limit and phase transitions for nematic liquid crystals in the continuum" @default.
- W2729408876 hasPublicationYear "2015" @default.
- W2729408876 type Work @default.
- W2729408876 sameAs 2729408876 @default.
- W2729408876 citedByCount "0" @default.
- W2729408876 crossrefType "posted-content" @default.
- W2729408876 hasAuthorship W2729408876A5012745001 @default.
- W2729408876 hasAuthorship W2729408876A5059026410 @default.
- W2729408876 hasConcept C121332964 @default.
- W2729408876 hasConcept C13274807 @default.
- W2729408876 hasConcept C134306372 @default.
- W2729408876 hasConcept C149288129 @default.
- W2729408876 hasConcept C151201525 @default.
- W2729408876 hasConcept C184050105 @default.
- W2729408876 hasConcept C202213908 @default.
- W2729408876 hasConcept C22064058 @default.
- W2729408876 hasConcept C26873012 @default.
- W2729408876 hasConcept C2994273327 @default.
- W2729408876 hasConcept C33923547 @default.
- W2729408876 hasConcept C44280652 @default.
- W2729408876 hasConcept C62520636 @default.
- W2729408876 hasConcept C85725439 @default.
- W2729408876 hasConceptScore W2729408876C121332964 @default.
- W2729408876 hasConceptScore W2729408876C13274807 @default.
- W2729408876 hasConceptScore W2729408876C134306372 @default.
- W2729408876 hasConceptScore W2729408876C149288129 @default.
- W2729408876 hasConceptScore W2729408876C151201525 @default.
- W2729408876 hasConceptScore W2729408876C184050105 @default.
- W2729408876 hasConceptScore W2729408876C202213908 @default.
- W2729408876 hasConceptScore W2729408876C22064058 @default.
- W2729408876 hasConceptScore W2729408876C26873012 @default.
- W2729408876 hasConceptScore W2729408876C2994273327 @default.
- W2729408876 hasConceptScore W2729408876C33923547 @default.
- W2729408876 hasConceptScore W2729408876C44280652 @default.
- W2729408876 hasConceptScore W2729408876C62520636 @default.
- W2729408876 hasConceptScore W2729408876C85725439 @default.
- W2729408876 hasOpenAccess W2729408876 @default.
- W2729408876 hasRelatedWork W1559908030 @default.
- W2729408876 hasRelatedWork W1594187236 @default.
- W2729408876 hasRelatedWork W1969238629 @default.
- W2729408876 hasRelatedWork W1989350373 @default.
- W2729408876 hasRelatedWork W2002934731 @default.
- W2729408876 hasRelatedWork W2011745987 @default.
- W2729408876 hasRelatedWork W2031660922 @default.
- W2729408876 hasRelatedWork W2035303199 @default.
- W2729408876 hasRelatedWork W2038495618 @default.
- W2729408876 hasRelatedWork W2043331636 @default.
- W2729408876 hasRelatedWork W2057535523 @default.
- W2729408876 hasRelatedWork W2058419148 @default.
- W2729408876 hasRelatedWork W2062063457 @default.
- W2729408876 hasRelatedWork W2064032937 @default.
- W2729408876 hasRelatedWork W2113069195 @default.
- W2729408876 hasRelatedWork W2123074535 @default.
- W2729408876 hasRelatedWork W2411486665 @default.
- W2729408876 hasRelatedWork W2414094304 @default.
- W2729408876 hasRelatedWork W2588841620 @default.
- W2729408876 hasRelatedWork W3106114808 @default.
- W2729408876 isParatext "false" @default.
- W2729408876 isRetracted "false" @default.
- W2729408876 magId "2729408876" @default.
- W2729408876 workType "article" @default.