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(474) Production(s) de l'année 2018
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Activity statistics in a colloidal glass former: experimental evidence for a dynamical transition 
Auteur(s): Abou Bérengère, Colin Rémy, Lecomte Vivien, Pitard E., van Wijland Frédéric
(Article) Publié:
The Journal Of Chemical Physics, vol. 148 p.164502 (2018)
Texte intégral en Openaccess : 
Ref HAL: hal-01517340_v1
Ref Arxiv: 1705.00855
DOI: 10.1063/1.5006924
WoS: 000431291900023
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
5 Citations
Résumé: In a dense colloidal suspension at a volume fraction slightly lower than that of its glass transition, we follow the trajectories of an assembly of tracers over a large time window. We define a local activity, which quantifies the local tendency of the system to rearrange. We determine the statistics of the time and space integrated activity, and we argue that it develops a low activity tail that comes on a par with the onset of glassy behavior and heterogeneous dynamics. These rare events may be interpreted as the reflection of an underlying dynamic phase transition.
Commentaires: 10 pages, 15 figures
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Multiple D3-Instantons and Mock Modular Forms II
Auteur(s): Alexandrov S., Banerjee S., Manschot Jan, Pioline Boris
(Article) Publié:
Communications In Mathematical Physics, vol. 359 p.297-346 (2018)
Texte intégral en Openaccess :
Ref HAL: hal-01627846_v1
Ref Arxiv: 1702.05497
DOI: 10.1007/s00220-018-3114-z
WoS: WOS:000428927100008
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
7 Citations
Résumé: We analyze the modular properties of D3-brane instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for the existence of an isometric action of S-duality on this moduli space: the generating function of DT invariants in the large volume attractor chamber must be a vector-valued mock modular form with specified modular properties. In this work, we prove that this condition is also sufficient at two-instanton order. This is achieved by producing a holomorphic action of SL(2,Z) on the twistor space which preserves the holomorphic contact structure. The key step is to cancel the anomalous modular variation of the Darboux coordinates by a local holomorphic contact transformation, which is generated by a suitable indefinite theta series. For this purpose we introduce a new family of theta series of signature (2,n-2), find their modular completion, and conjecture sufficient conditions for their convergence, which may be of independent mathematical interest.
Commentaires: 24+24 pages
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Color measurements of turbid liquids (European Patent)
Auteur(s): Geniet F.
Brevet: #EP18150259.2, (2018)
Ref HAL: hal-02090515_v1
Exporter : BibTex | endNote
Résumé: Une méthode permettant la mesure spectrocolorimétrique des solutions opaques très diffusantes, de type jus de fruits, dans leur packaging d'origine. Les appareils courants sur le marché (spectrocolorimètres) ne permettent pas de réaliser cette mesure. La méthode s'affranchit des contraintes présentes dans ces appareils.
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Indefinite theta series and generalized error functions
Auteur(s): Alexandrov S., Banerjee S., Manschot Jan, Pioline Boris
(Article) Publié:
Selecta Mathematica (New Series), vol. 24 p.3927-3972 (2018)
Texte intégral en Openaccess :
Ref HAL: hal-01334181_v1
Ref Arxiv: 1606.05495
DOI: 10.1007/s00029-018-0444-9
WoS: WOS:000449794800003
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
7 Citations
Résumé: Theta series for lattices with indefinite signature $(n_+,n_-)$ arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their modular properties are well understood in the Lorentzian case ($n_+=1$), but have remained obscure when $n_+\geq 2$. Using a higher-dimensional generalization of the usual (complementary) error function, discovered in an independent physics project, we construct the modular completion of a class of `conformal' holomorphic theta series ($n_+=2$). As an application, we determine the modular properties of a generalized Appell-Lerch sum attached to the lattice ${\operatorname A}_2$, which arose in the study of rank 3 vector bundles on $\mathbb{P}^2$. The extension of our method to $n_+>2$ is outlined.
Commentaires: 30 pages, 2 figures
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, Brisson Amaury, 
