Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298052122> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4298052122 abstract "We study the equilibrium density profile of particles in two one-dimensional classical integrable models, namely hard rods and the hyperbolic Calogero model, placed in confining potentials. For both of these models the inter-particle repulsion is strong enough to prevent particle trajectories from intersecting. We use field theoretic techniques to compute the density profile and their scaling with system size and temperature, and compare them with results from Monte-Carlo simulations. In both cases we find good agreement between the field theory and simulations. We also consider the case of the Toda model in which inter-particle repulsion is weak and particle trajectories can cross. In this case, we find that a field theoretic description is ill-suited due to the lack of a thermodynamic length scale. The density profiles for the Toda model obtained from Monte-Carlo simulations can be understood by studying the analytically tractable harmonic chain model (Hessian approximation of the Toda model). For the harmonic chain model one can derive an exact expression for the density that shines light on some of the qualitative features of the Toda model in a quadratic trap. Our work provides an analytical approach towards understanding the equilibrium properties for interacting integrable systems in confining traps." @default.
- W4298052122 created "2022-10-01" @default.
- W4298052122 creator A5018566359 @default.
- W4298052122 creator A5021080434 @default.
- W4298052122 creator A5033976567 @default.
- W4298052122 creator A5035284245 @default.
- W4298052122 creator A5063855185 @default.
- W4298052122 date "2022-09-27" @default.
- W4298052122 modified "2023-09-26" @default.
- W4298052122 title "Finite temperature equilibrium density profiles of integrable systems in confining potentials" @default.
- W4298052122 doi "https://doi.org/10.48550/arxiv.2209.13769" @default.
- W4298052122 hasPublicationYear "2022" @default.
- W4298052122 type Work @default.
- W4298052122 citedByCount "0" @default.
- W4298052122 crossrefType "posted-content" @default.
- W4298052122 hasAuthorship W4298052122A5018566359 @default.
- W4298052122 hasAuthorship W4298052122A5021080434 @default.
- W4298052122 hasAuthorship W4298052122A5033976567 @default.
- W4298052122 hasAuthorship W4298052122A5035284245 @default.
- W4298052122 hasAuthorship W4298052122A5063855185 @default.
- W4298052122 hasBestOaLocation W42980521221 @default.
- W4298052122 hasConcept C105795698 @default.
- W4298052122 hasConcept C121332964 @default.
- W4298052122 hasConcept C121864883 @default.
- W4298052122 hasConcept C129844170 @default.
- W4298052122 hasConcept C18762648 @default.
- W4298052122 hasConcept C19499675 @default.
- W4298052122 hasConcept C200741047 @default.
- W4298052122 hasConcept C202444582 @default.
- W4298052122 hasConcept C203616005 @default.
- W4298052122 hasConcept C2524010 @default.
- W4298052122 hasConcept C28826006 @default.
- W4298052122 hasConcept C33923547 @default.
- W4298052122 hasConcept C37914503 @default.
- W4298052122 hasConcept C62520636 @default.
- W4298052122 hasConcept C74650414 @default.
- W4298052122 hasConcept C9652623 @default.
- W4298052122 hasConcept C99844830 @default.
- W4298052122 hasConceptScore W4298052122C105795698 @default.
- W4298052122 hasConceptScore W4298052122C121332964 @default.
- W4298052122 hasConceptScore W4298052122C121864883 @default.
- W4298052122 hasConceptScore W4298052122C129844170 @default.
- W4298052122 hasConceptScore W4298052122C18762648 @default.
- W4298052122 hasConceptScore W4298052122C19499675 @default.
- W4298052122 hasConceptScore W4298052122C200741047 @default.
- W4298052122 hasConceptScore W4298052122C202444582 @default.
- W4298052122 hasConceptScore W4298052122C203616005 @default.
- W4298052122 hasConceptScore W4298052122C2524010 @default.
- W4298052122 hasConceptScore W4298052122C28826006 @default.
- W4298052122 hasConceptScore W4298052122C33923547 @default.
- W4298052122 hasConceptScore W4298052122C37914503 @default.
- W4298052122 hasConceptScore W4298052122C62520636 @default.
- W4298052122 hasConceptScore W4298052122C74650414 @default.
- W4298052122 hasConceptScore W4298052122C9652623 @default.
- W4298052122 hasConceptScore W4298052122C99844830 @default.
- W4298052122 hasLocation W42980521221 @default.
- W4298052122 hasOpenAccess W4298052122 @default.
- W4298052122 hasPrimaryLocation W42980521221 @default.
- W4298052122 hasRelatedWork W1521529581 @default.
- W4298052122 hasRelatedWork W1968591997 @default.
- W4298052122 hasRelatedWork W1978249062 @default.
- W4298052122 hasRelatedWork W1994548764 @default.
- W4298052122 hasRelatedWork W2002988671 @default.
- W4298052122 hasRelatedWork W2004475824 @default.
- W4298052122 hasRelatedWork W2054763206 @default.
- W4298052122 hasRelatedWork W2085620496 @default.
- W4298052122 hasRelatedWork W2160611887 @default.
- W4298052122 hasRelatedWork W3098311423 @default.
- W4298052122 isParatext "false" @default.
- W4298052122 isRetracted "false" @default.
- W4298052122 workType "article" @default.