Entanglement of excited states in critical spin chains

Renyi and von Neumann entropies quantifying the amount of entanglement in ground states of critical spin chains are known to satisfy a universal law which is given by the conformal field theory (CFT) describing their scaling regime. This law can be generalized to excitations described by primary fields in CFT, as was done by Alcaraz et al in 2011 (see reference [1], of which this work is a completion). An alternative derivation is presented, together with numerical verifications of our results in different models belonging to the c = 1, 1/2 universality classes. Oscillations of the Renyi entropy in excited states are also discussed.

Gingival Papilla Dimensions in Anterosuperior Regions Adjacent to Single-Tooth Implants

This study compared the dimensions of gingival papillae in anterosuperior areas presenting at natural teeth (teeth sites) or single-tooth implants adjacent to natural teeth (implant-tooth sites) by analyzing determined distances. A total of 45 teeth and 46 implant-tooth sites were carefully selected. Clinical evaluation consisted of visual and quantitative analyses with millimeter grids on radiographs. Implant-tooth sites showed a smaller gingival papilla dimension than tooth sites (P < .01). Both evaluated distances (contact point to bone crest and between the roots of adjacent teeth or implant platform to root of adjacent tooth) in all groups significantly influenced the presence/absence of gingival papillae (P < .01). (Int J Periodontics Restorative Dent 2012;32:93-100.)

Chains of Infinite Order, Chains with Memory of Variable Length, and Maps of the Interval

We show how to construct a topological Markov map of the interval whose invariant probability measure is the stationary law of a given stochastic chain of infinite order. In particular we characterize the maps corresponding to stochastic chains with memory of variable length. The problem treated here is the converse of the classical construction of the Gibbs formalism for Markov expanding maps of the interval.

Influence of ultrasound or halogen light on microleakage and hardness of enamel adjacent to glass ionomer cement

Background. The use of external sources of energy may accelerate the setting rate of glass ionomer cements (GICs) allowing better initial mechanical properties. Aim. To investigate the influence of ultrasound and halogen light on the microleakage and hardness of enamel adjacent to GIC restorations, after artificial caries challenge. Design. Cavities were prepared in 60 primary canines, restored with GIC, and randomly distributed into three groups: control group (CG), light group (LG) - irradiation with a halogen lightcuring unit for 60 s, and ultrasonic group (UG) application of ultrasonic scaler device for 15 s. All specimens were then submitted to a cariogenic challenge in a pH cycling model. Half of sample in each group were immersed in methylene blue for 4 h and sectioned for dye penetration analysis. The remaining specimens were submitted to Knoop cross-sectional microhardness assessments, and mineral changes were calculated for adjacent enamel. Results. Data were compared using Kruskal-Wallis test and two- way ANOVA with 5% significance. Higher dye penetration was observed for the UG (P < 0.01). No significant mineral changes were observed between groups (P = 0.844). Conclusion. The use of halogen light- curing unit does not seem to interfere with the properties of GICs, whereas the use of ultrasound can affect its marginal sealing.

The immediate effects of local and adjacent acupuncture on the tibialis anterior muscle: a human study

Abstract Background This study compares the immediate effects of local and adjacent acupuncture on the tibialis anterior muscle and the amount of force generated or strength in Kilogram Force (KGF) evaluated by a surface electromyography. Methods The study consisted of a single blinded trial of 30 subjects assigned to two groups: local acupoint (ST36) and adjacent acupoint (SP9). Bipolar surface electrodes were placed on the tibialis anterior muscle, while a force transducer was attached to the foot of the subject and to the floor. An electromyograph (EMG) connected to a computer registered the KGF and root mean square (RMS) before and after acupuncture at maximum isometric contraction. The RMS values and surface electrodes were analyzed with Student's t-test. Results Thirty subjects were selected from a total of 56 volunteers according to specific inclusion and exclusion criteria and were assigned to one of the two groups for acupuncture. A significant decrease in the RMS values was observed in both ST36 (t = -3.80, P = 0,001) and SP9 (t = 6.24, P = 0.001) groups after acupuncture. There was a decrease in force in the ST36 group after acupuncture (t = -2.98, P = 0.006). The RMS values did not have a significant difference (t = 0.36, P = 0.71); however, there was a significant decrease in strength after acupuncture in the ST36 group compared to the SP9 group (t = 2.51, P = 0.01). No adverse events were found. Conclusion Acupuncture at the local acupoint ST36 or adjacent acupoints SP9 reduced the tibialis anterior electromyography muscle activity. However, acupuncture at SP9 did not decrease muscle strength while acupuncture at ST36 did.

Multiple Island Chains in Primary Resonances.

We analyse the dynamics of a relativistic particle moving in a uniform magnetic field and perturbed by a stationary electrostatic wave. We show that a pulsed wave produces an infinite number of perturbing terms with the same winding number. The perturbation coupling alters the number of island chains as a function of the parameters of the wave. We also observe that the number of chains in is always even if the number of islands in each chain is odd.

Universal behavior of the Shannon mutual information of critical quantum chains

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its finite-size behavior yields the conformal anomaly c of the underlying conformal field theory governing the long-distance physics of the quantum chain. We study analytically a chain of coupled harmonic oscillators and numerically the Q-state Potts models (Q = 2, 3, and 4), the XXZ quantum chain, and the spin-1 Fateev-Zamolodchikov model. The Shannon mutual information is a quantity easily computed, and our results indicate that for relatively small lattice sizes, its finite-size behavior already detects the universality class of quantum critical behavior.

Colonization of gastropods on subtidal reefs depends on density in adjacent habitats, not on disturbance regime

[EN] Habitats dominated by algal canopies are often altered by physical disturbances of varying severity, changing environmental conditions and biological processes. We used Artificial Seaweed Units (ASUs) to test whether severity of physical disturbances on algal canopies affects the post-disturbance colonization of gastropods on subtidal reefs. Specifically, we examined patterns of assemblage structure of gastropods to test the hypothesis that the extent and intensity of canopy removal affects the post-disturbance colonization of ASUs, testing the consistency of these effects among four regions encompassing a 68 latitudinal gradient in southwestern Australia. Because adjacent habitats can act as a source of new colonists (either as drifting migrants or as a source of propagules) from the perimeter surrounding perturbed areas, we also predicted that patterns of colonization (types and total abundances of colonizers) were influenced by the available pool of individuals at the scale of reefs. Three reefs were selected within each region. On each reef, ASUs were placed in the centre of circular canopy clearings of different size (0, 3, 13 and 50 m2) and intensity (50% vs 100%), and retrieved after 3 months. Resulting assemblages occupying the ASUs were quantitatively representative of the adjacent (undisturbed), algal-associated, assemblages at the scale of reef. Within reefs, recruited assemblages largely mimicked those associated with erect red algae. However, neither disturbance size nor intensity affected the colonization patterns across reefs and regions. These results suggest that algal-associated gastropods, regardless of the prevalent mode of dispersion, are resilient to physical disturbances to canopies across broad geographical regions as long as the pool of potential colonists is maintained. A high dispersal ability of gastropods likely ensures a quick colonization of recovering algal habitats.

Grenzflächenverhalten und Strukturierung von dünnen, amphiphilen Blockcopolymerfilmen

Die Oberfläche von Blockcopolymerfilmen wird aus denjenigen Blöcken gebildet, die gegenüber dem benachbarten Medium die geringste Oberflächenenergie besitzen. Durch eine gezielte Änderung des Mediums kann man Einfluss auf die chemische Zusammensetzung nehmen und einen Wechsel der Oberflächenlamelle erzwingen. Das Ziel dieser Arbeit war es, das Grenzflächenverhalten von dünnen, amphiphilen Blockcopolymerfilmen näher zu untersuchen, die Filmoberflächen in einem lösungsmittelfreien Prozess lateral zu strukturieren und anschließend chemisch zu modifizieren. Zu diesem Zweck wurden zunächst neuartige hydrophile und hydrophobe Styrenderivate mit kurzen Seitenketten dargestellt, die anschließend durch kontrollierte radikalische Polymerisation („stable free radical polymerisation“ SFRP) mit dem TEMPO Unimer zu amphiphilen Diblockcopolymeren polymerisiert wurden. Funktionelle Gruppen in den hydrophilen Blöcken sollen zusätzlich eine chemische Modifizierung der Oberflächen dünner Blockcopolymerfilme ermöglichen. Der Nachweis der Reorientierung der Oberflächenlamelle unter dem Einfluss angrenzender polarer und unpolarer Medien gelang im Folgenden sowohl indirekt durch Kontaktwinkelmessungen, als auch direkt durch „Near edge X-ray Absorption Fine Structure“ Spektroskopie (NEXAFS). Durch Letztere konnten auch kinetische Informationen über den Prozess der Reorientierung gewonnen werden. In AFM Studien konnten weiterhin Zwischenstufen des von Senchu et al. postulierten Mechanismus nachgewiesen werden, der die Reorientierung als eine Art Reißverschlussmechanismus beschreibt, bei dem sich die energetisch günstigere Lamelle über die ungünstigere Oberflächenlamelle stülpt. Die laterale Strukturierung der Oberflächen dünner Blockcopolymerfilme erfolgte abweichend von der bekannten Technik, die auf der Verwendung von hydrophoben PDMS Stempeln und einem polaren Lösungsmittel zurückgreift, durch einen lösungsmittelfreien Prozess mit hydrophilen PDMS Stempeln. Auf die hydrophilen Bereiche der so strukturierten Blockcopolymeroberflächen konnte dann mittels einer Templatstrategie selektiv elementares Kupfer abgeschieden werden. Durch die Erzeugung leitfähiger Strukturen auf Blockcopolymerfilmen konnte exemplarisch die Eignung dieser zum Aufbau von Sensorstrukturen gezeigt werden.

Untersuchung der Bindung des humanen Papillomvirus HPV16 an Heparansulfate der Zelloberfläche

In 99,7% aller Zervixkarzinome kann die DNA humaner Papillomviren (HPV) nachgewiesen werden, die somit den Hauptauslöser für eine der häufigsten Krebserkrankungen bei Frauen weltweit darstellen. HPV16 ist verantwortlich für etwa 50% aller Zervixkarzinome. Für die Infektion von Zellen mit HPV16 ist die Interaktion mit Heparansulfatproteoglykanen der Zelloberfläche essentiell. Um Aminosäuren auf der Oberfläche des majoren Kapsidproteins L1 von HPV16 zu identifizieren, die zu dieser Interaktion beitragen, wurden im Rahmen dieser Arbeit zahlreiche Punktmutanten hergestellt und analysiert. Der Austausch der drei Lysine K278, K356 und K361 zu Alaninen führte zu signifikant verminderter Zell-, Heparin- und Heparansulfatbindung, die noch weiter reduziert wurde, wenn zwei oder drei der Lysine gleichzeitig mutiert waren. Auch die Infektiosität der mutanten Pseudovirionen war stark beeinträchtigt, die Trippelmutante zeigte nur noch 5% Infektiosität. Diese Ergebnisse demonstrieren, dass die drei Lysine gemeinsam die Bindestelle für Heparansulfate bilden. Ihr Austausch zu Argininen beeinflusste die Infektiosität der Partikel hingegen nicht, was bestätigt, dass die Interaktion mit Heparansulfaten von der positiven Ladungsdichte abhängt und nicht sequenzspezifisch ist. Die drei Lysine befinden sich auf der Spitze des HPV16-Kapsomers in einer flachen Tasche, die aufgrund ihrer Struktur bereits früher als potentielle Rezeptorbindestelle vorgeschlagen wurde. Fab-Fragmente des bindungsneutralisierenden Antikörpers H16.56E, dessen Epitop in direkter Nachbarschaft der Lysine liegt, inhibierten die heparansulfatvermittelte Zellbindung viraler Partikel. Auch Epitope anderer bindungsneutralisierender Antikörper befinden sich in der Nähe. Dies untermauert die Hypothese, dass die Lysine K278, K356 und K361 die Heparansulfatbindestelle von HPV16 bilden. Der Austausch von Threoninen, die genau zwischen den Lysinen liegen, hatte keine Auswirkung auf Bindung der Partikel und Infektiosität. Sie könnten jedoch durch die Bildung von Wasserstoffbrücken die Bindung an Heparansulfat stabilisieren. Die Bedeutung der Lysine K278, K356 und K361 bei der primären Interaktion von HPV16 mit Heparansulfaten konnte durch die Computersimulation der Interaktion der Virusoberfläche mit einem Heparinmolekül bestätigt werden. Des Weiteren konnten Anforderungen ermittelt werden, die eine solche Interaktion an das Heparinmolekül stellt. Weiterhin zeigten die Ergebnisse dieser Arbeit, dass basische Aminosäuren in der interkapsomeren Grube nicht an der primären Zellbindung an Heparansulfate beteiligt zu sein scheinen, aber eine Rolle bei sekundären Interaktionen mit der Zelloberfläche spielen könnten.

Pseudodifferential analysis in Psi*-algebras on transmission spaces, infinite solving ideal chains and K-theory for conformally compact spaces

The present thesis is a contribution to the theory of algebras of pseudodifferential operators on singular settings. In particular, we focus on the $b$-calculus and the calculus on conformally compact spaces in the sense of Mazzeo and Melrose in connection with the notion of spectral invariant transmission operator algebras. We summarize results given by Gramsch et. al. on the construction of $Psi_0$-and $Psi*$-algebras and the corresponding scales of generalized Sobolev spaces using commutators of certain closed operators and derivations. In the case of a manifold with corners $Z$ we construct a $Psi*$-completion $A_b(Z,{}^bOmega^{1/2})$ of the algebra of zero order $b$-pseudodifferential operators $Psi_{b,cl}(Z, {}^bOmega^{1/2})$ in the corresponding $C*$-closure $B(Z,{}^bOmega^{12})hookrightarrow L(L^2(Z,{}^bOmega^{1/2}))$. The construction will also provide that localised to the (smooth) interior of Z the operators in the $A_b(Z, {}^bOmega^{1/2})$ can be represented as ordinary pseudodifferential operators. In connection with the notion of solvable $C*$-algebras - introduced by Dynin - we calculate the length of the $C*$-closure of $Psi_{b,cl}^0(F,{}^bOmega^{1/2},R^{E(F)})$ in $B(F,{}^bOmega^{1/2}),R^{E(F)})$ by localizing $B(Z, {}^bOmega^{1/2})$ along the boundary face $F$ using the (extended) indical familiy $I^B_{FZ}$. Moreover, we discuss how one can localise a certain solving ideal chain of $B(Z, {}^bOmega^{1/2})$ in neighbourhoods $U_p$ of arbitrary points $pin Z$. This localisation process will recover the singular structure of $U_p$; further, the induced length function $l_p$ is shown to be upper semi-continuous. We give construction methods for $Psi*$- and $C*$-algebras admitting only infinite long solving ideal chains. These algebras will first be realized as unconnected direct sums of (solvable) $C*$-algebras and then refined such that the resulting algebras have arcwise connected spaces of one dimensional representations. In addition, we recall the notion of transmission algebras on manifolds with corners $(Z_i)_{iin N}$ following an idea of Ali Mehmeti, Gramsch et. al. Thereby, we connect the underlying $C^infty$-function spaces using point evaluations in the smooth parts of the $Z_i$ and use generalized Laplacians to generate an appropriate scale of Sobolev spaces. Moreover, it is possible to associate generalized (solving) ideal chains to these algebras, such that to every $ninN$ there exists an ideal chain of length $n$ within the algebra. Finally, we discuss the $K$-theory for algebras of pseudodifferential operators on conformally compact manifolds $X$ and give an index theorem for these operators. In addition, we prove that the Dirac-operator associated to the metric of a conformally compact manifold $X$ is not a Fredholm operator.