FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104577572> ?p ?o ?g. }

• W3104577572 endingPage "095002" @default.
• W3104577572 startingPage "095002" @default.
• W3104577572 abstract "In the Onsager model of one-component hard-particle systems, the entire phase behaviour is dictated by a function of relative orientation, which represents the amount of space excluded to one particle by another at this relative orientation. We term this function the excluded volume function. Within the context of two-dimensional convex bodies, we investigate this excluded volume function for one-component systems addressing two related questions. Firstly, given a body can we find the excluded volume function?, Secondly, can we reconstruct a body from its excluded volume function? The former is readily answered via an explicit Fourier series representation, in terms of the support function. However we show the latter question is ill-posed in the sense that solutions are not unique for a large class of bodies. This degeneracy is well characterised however, with two bodies admitting the same excluded volume function if and only if the Fourier coefficients of their support functions differ only in phase. Despite the non-uniqueness issue, we then propose and analyse a method for reconstructing a convex body given its excluded volume function, by means of a discretisation procedure where convex bodies are approximated by zonotopes with a fixed number of sides. It is shown that the algorithm will always asymptotically produce a best $L^2$ approximation of the trial function, within the space of excluded volume functions of centrally symmetric bodies. In particular, if a solution exists, it can be found. Results from a numerical implementation are presented, showing that with only desktop computing power, good approximations to solutions can be readily found." @default.
• W3104577572 created "2020-11-23" @default.
• W3104577572 creator A5065057468 @default.
• W3104577572 date "2019-02-05" @default.
• W3104577572 modified "2023-10-18" @default.
• W3104577572 title "The excluded volume of two-dimensional convex bodies: shape reconstruction and non-uniqueness" @default.
• W3104577572 cites W1989767946 @default.
• W3104577572 cites W1989855437 @default.
• W3104577572 cites W1996031392 @default.
• W3104577572 cites W2004111330 @default.
• W3104577572 cites W2008317504 @default.
• W3104577572 cites W2013814296 @default.
• W3104577572 cites W2018650334 @default.
• W3104577572 cites W2025075960 @default.
• W3104577572 cites W2030095127 @default.
• W3104577572 cites W2038637101 @default.
• W3104577572 cites W2045592043 @default.
• W3104577572 cites W2068404907 @default.
• W3104577572 cites W2075349929 @default.
• W3104577572 cites W2083004285 @default.
• W3104577572 cites W2083261422 @default.
• W3104577572 cites W2087229185 @default.
• W3104577572 cites W2090426702 @default.
• W3104577572 cites W2096956861 @default.
• W3104577572 cites W2107091078 @default.
• W3104577572 cites W2141020975 @default.
• W3104577572 cites W2142904031 @default.
• W3104577572 cites W2154455129 @default.
• W3104577572 cites W2170159570 @default.
• W3104577572 cites W2326458571 @default.
• W3104577572 cites W2504943536 @default.
• W3104577572 cites W3100830409 @default.
• W3104577572 cites W3106058639 @default.
• W3104577572 cites W3159484367 @default.
• W3104577572 cites W3188090945 @default.
• W3104577572 doi "https://doi.org/10.1088/1751-8121/aaf187" @default.
• W3104577572 hasPublicationYear "2019" @default.
• W3104577572 type Work @default.
• W3104577572 sameAs 3104577572 @default.
• W3104577572 citedByCount "3" @default.
• W3104577572 countsByYear W31045775722019 @default.
• W3104577572 countsByYear W31045775722020 @default.
• W3104577572 countsByYear W31045775722021 @default.
• W3104577572 crossrefType "journal-article" @default.
• W3104577572 hasAuthorship W3104577572A5065057468 @default.
• W3104577572 hasBestOaLocation W31045775722 @default.
• W3104577572 hasConcept C112680207 @default.
• W3104577572 hasConcept C134306372 @default.
• W3104577572 hasConcept C134912446 @default.
• W3104577572 hasConcept C14036430 @default.
• W3104577572 hasConcept C145446738 @default.
• W3104577572 hasConcept C151730666 @default.
• W3104577572 hasConcept C157972887 @default.
• W3104577572 hasConcept C2524010 @default.
• W3104577572 hasConcept C2777021972 @default.
• W3104577572 hasConcept C2777727622 @default.
• W3104577572 hasConcept C2779343474 @default.
• W3104577572 hasConcept C33923547 @default.
• W3104577572 hasConcept C60644358 @default.
• W3104577572 hasConcept C73000952 @default.
• W3104577572 hasConcept C78458016 @default.
• W3104577572 hasConcept C86803240 @default.
• W3104577572 hasConceptScore W3104577572C112680207 @default.
• W3104577572 hasConceptScore W3104577572C134306372 @default.
• W3104577572 hasConceptScore W3104577572C134912446 @default.
• W3104577572 hasConceptScore W3104577572C14036430 @default.
• W3104577572 hasConceptScore W3104577572C145446738 @default.
• W3104577572 hasConceptScore W3104577572C151730666 @default.
• W3104577572 hasConceptScore W3104577572C157972887 @default.
• W3104577572 hasConceptScore W3104577572C2524010 @default.
• W3104577572 hasConceptScore W3104577572C2777021972 @default.
• W3104577572 hasConceptScore W3104577572C2777727622 @default.
• W3104577572 hasConceptScore W3104577572C2779343474 @default.
• W3104577572 hasConceptScore W3104577572C33923547 @default.
• W3104577572 hasConceptScore W3104577572C60644358 @default.
• W3104577572 hasConceptScore W3104577572C73000952 @default.
• W3104577572 hasConceptScore W3104577572C78458016 @default.
• W3104577572 hasConceptScore W3104577572C86803240 @default.
• W3104577572 hasIssue "9" @default.
• W3104577572 hasLocation W31045775721 @default.
• W3104577572 hasLocation W31045775722 @default.
• W3104577572 hasLocation W31045775723 @default.
• W3104577572 hasOpenAccess W3104577572 @default.
• W3104577572 hasPrimaryLocation W31045775721 @default.
• W3104577572 hasRelatedWork W2006953558 @default.
• W3104577572 hasRelatedWork W2098586728 @default.
• W3104577572 hasRelatedWork W2942377347 @default.
• W3104577572 hasRelatedWork W3015095592 @default.
• W3104577572 hasRelatedWork W3115649777 @default.
• W3104577572 hasRelatedWork W3161443230 @default.
• W3104577572 hasRelatedWork W3166678058 @default.
• W3104577572 hasRelatedWork W4211110649 @default.
• W3104577572 hasRelatedWork W4226101702 @default.
• W3104577572 hasRelatedWork W4377101752 @default.
• W3104577572 hasVolume "52" @default.
• W3104577572 isParatext "false" @default.
• W3104577572 isRetracted "false" @default.
• W3104577572 magId "3104577572" @default.

• next