Désintégration du faux vide médiée par des kinks en 1+1 dimensions

Dans ce mémoire, on étudie la désintégration d’un faux vide, c’est-à-dire un vide qui est un minimum relatif d’un potentiel scalaire par effet tunnel. Des défauts topologiques en 1+1 dimension, appelés kinks, apparaissent lorsque le potentiel possède un minimum qui brise spontanément une symétrie discrète. En 3+1 dimensions, ces kinks deviennent des murs de domaine. Ils apparaissent par exemple dans les matériaux magnétiques en matière condensée. Un modèle à deux champs scalaires couplés sera étudié ainsi que les solutions aux équations du mouvement qui en découlent. Ce faisant, on analysera comment l’existence et l’énergie des solutions statiques dépend des paramètres du modèle. Un balayage numérique de l’espace des paramètres révèle que les solutions stables se trouvent entre les zones de dissociation, des régions dans l’espace des paramètres où les solutions stables n’existent plus. Le comportement des solutions instables dans les zones de dissociation peut être très différent selon la zone de dissociation dans laquelle une solution se trouve. Le potentiel consiste, dans un premier temps, en un polynôme d’ordre six, auquel on y rajoute, dans un deuxième temps, un polynôme quartique multiplié par un terme de couplage, et est choisi tel que les extrémités du kink soient à des faux vides distincts. Le taux de désintégration a été estimé par une approximation semi-classique pour montrer l’impact des défauts topologiques sur la stabilité du faux vide. Le projet consiste à déterminer les conditions qui permettent aux kinks de catalyser la désintégration du faux vide. Il appert qu’on a trouvé une expression pour déterminer la densité critique de kinks et qu’on comprend ce qui se passe avec la plupart des termes.

Structure determination of an intercalating ruthenium dipyridophenazine complex which kinks DNA by semiintercalation of a tetraazaphenanthrene ligand

We describe a crystal structure, at atomic resolution (1.1 Å, 100 K), of a ruthenium polypyridyl complex bound to duplex DNA, in which one ligand acts as a wedge in the minor groove, resulting in the 51° kinking of the double helix. The complex cation Λ-[Ru(1,4,5,8-tetraazaphenanthrene)2(dipyridophenazine)]2+ crystallizes in a 1∶1 ratio with the oligonucleotide d(TCGGCGCCGA) in the presence of barium ions. Each complex binds to one duplex by intercalation of the dipyridophenazine ligand and also by semiintercalation of one of the orthogonal tetraazaphenanthrene ligands into a second symmetrically equivalent duplex. The result is noncovalent cross-linking and marked kinking of DNA.

General solutions for some classes of interacting two field kinks

In this work we present some classes of models whose the corresponding two coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. In these cases the so-called trial orbit method is completely unnecessary. We recall that some physically important models as, for instance, the problem of tiling a plane with a network of defects and polymer properties are in this class of models. (c) 2005 Elsevier B.V. All rights reserved.

PT-symmetric kinks

Some kinks for non-Hermitian quantum field theories in 1+1 dimensions are constructed. A class of models where the soliton energies are stable and real are found. Although these kinks are not Hermitian, they are symmetric under PT transformations.

Fermions bounded by kinks of false vacuum models

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

The structure of non-abelian kinks

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Information-entropic measure of energy-degenerate kinks in two-field models

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Twinlike models for kinks and compactons in flat and warped spacetime

This work deals with the presence of twinlike models in scalar field theories. We show how to build distinct scalar field theories having the same extended solution, with the same energy density and linear stability. Here, however, we start from a given but generalized scalar field theory, and we construct the corresponding twin model, which also engenders generalized dynamics. We investigate how the twinlike models arise in both flat and curved spacetimes. In the curved spacetime, we consider a braneworld model with the warp factor controlling the spacetime geometry with a single extra dimension of infinite extent. In particular, we study linear stability in both flat and curved spacetimes, and in the case of curved spacetime-in both the gravity and the scalar field sectors-for the two braneworld models. DOI: 10.1103/PhysRevD.86.125021

Working drawings and drafting-room kinks.

Working drawings -- Draftsmen's tooks -- Drafting-room kinks.

Non-Markovian dynamics of quantum discord

We evaluate the quantum discord dynamics of two qubits in independent and common non-Markovian environments. We compare the dynamics of entanglement with that of quantum discord. For independent reservoirs the quantum discord vanishes only at discrete instants whereas the entanglement can disappear during a finite time interval. For a common reservoir, quantum discord and entanglement can behave very differently with sudden birth of the former but not of the latter. Furthermore, in this case the quantum discord dynamics presents sudden changes in the derivative of its time evolution which is evidenced by the presence of kinks in its behavior at discrete instants of time.

Optimisation de la cryo microscopie électronique pour les études des minicercles d'ADN

RESUME : Bien que les propriétés physiques de la structure de l'ADN aient été intensivement étudiées pendant plus de 50 ans il y a encore beaucoup de questions importantes qui attendent des réponses. Par exemple, qu'arrive-t-il à la structure de la double hélice d'ADN nue (sans protéines liées) lorsqu'elle est fortement courbée, de la même manière que dans les nucléosomes? Cet ADN nu est-il facilement plié (il reste dans le régime élastique) ou réduit-il la contrainte de flexion en formant des sites hyperflexibles «kinks» (il sort du régime élastique en cassant l'empilement des paires de bases à certains endroits) ? La microscopie électronique peut fournir une réponse à cette question par visualisation directe des minicercles d'ADN de la longueur d'un tour de nucléosome (environ 90 paires de bases). Pour que la réponse soit scientifiquement valide, on doit observer les molécules d'ADN lorsqu'elles sont en suspension dans la solution d'intérêt et sans que des colorations, produits chimiques ou fixatifs n'aient été ajoutés, étant donné que ceux-ci peuvent changer les propriétés de l'ADN. La technique de la cryo-microscopie électronique (cryo-EM) développée par le groupe de Jacques Dubochet au début des années 80, permet la visualisation directe des molécules d'ADN suspendues dans des couche minces vitrifiées de solutions aqueuses. Toutefois, le faible contraste qui caractérise la cryo-EM combinée avec la très petite taille des minicercles d'ADN rendent nécessaire l'optimisation de plusieurs étapes, aussi bien dans la préparation des échantillons que dans le processus d'acquisition d'images afin d'obtenir deux clichés stéréo qui permettent la reconstruction 3-D des minicercles d'ADN. Dans la première partie de ma thèse, je décris l'optimisation de certains paramètres pour la cryoEM et des processus d'acquisition d'image utilisant comme objets de test des plasmides et d'autres molécules d'ADN. Dans la deuxième partie, je .décris comment j'ai construit les minicercles d'ADN de 94 bp et comment j'ai introduit des modifications structurelles comme des coupures ou des lacunes. Dans la troisième partie, je décris l'analyse des reconstructions des rninicercles d'ADN. Cette analyse, appuyée par des tests biochimiques, indique fortement que des molécules d'ADN sont capables de former de petites molécules circulaires de 94 bp sans dépasser les limites d'élasticité, indiquant que les minicercles adoptent une forme circulaire régulière où la flexion est redistribuée le long la molécule. ABSTRACT : Although physical properties of DNA structure have been intensively studied for over 50 years there are still many important questions that need to be answered. For example, what happens to protein-free double-stranded DNA when it is strongly bent, as in DNA forming nucleosomes? Is such protein-free DNA smoothly bent (i.e. it remains within elastic limits of DNA rigidity) or does it release its bending stress by forming sharp kinks (i.e. it exits the elastic regime and breaks the stacking between neighbouring base-pairs in localized regions)? Electron microscopy can provide an answer to this question by directly visualizing DNA minicircles that have the size of nucleosome gyres (ca 90 bp). For the answer to be scientifically valid, one needs to observe DNA molecules while they are still suspended in the solution of interest and no staining chemicals or fixatives have been added since these can change the properties of the DNA. CryoEM techniques developed by Jacques Dubochet's group beginning in the 1980's permit direct visualization of DNA molecules suspended in cryo-vitrified layers of aqueous solutions. However, a relatively weak contrast of cryo-EM preparations combined with the very small size of the DNA minicircles made it necessary to optimize many of the steps and parameters of the cryo-EM specimen preparation and image acquisition processes in order to obtain stereo-pairs of images that permit the 3-D reconstruction of the observed DNA minicircles. In the first part of my thesis I describe the optimization of the cryo-EM preparation and the image acquisition processes using plasmid size DNA molecules as a test object. In the second part, I describe how I formed the 94 by DNA minicircles and how I introduced structural modifications like nicks or gaps. In the third part, I describe the cryo-EM analysis of the constructed DNA minicircles. That analysis, supported by biochemical tests, strongly indicates that DNA minicircles as small as 94 by remain within the elastic limits of DNA structure, i.e. the minicircles adopt a regular circular shape where bending is redistributed along the molecules.

Dynamics of domain walls in pattern formation under traveling-wave forcing

We study dynamics of domain walls in pattern forming systems that are externally forced by a moving space-periodic modulation close to 2:1 spatial resonance. The motion of the forcing induces nongradient dynamics, while the wave number mismatch breaks explicitly the chiral symmetry of the domain walls. The combination of both effects yields an imperfect nonequilibrium Ising-Bloch bifurcation, where all kinks (including the Ising-like one) drift. Kink velocities and interactions are studied within the generic amplitude equation. For nonzero mismatch, a transition to traveling bound kink-antikink pairs and chaotic wave trains occurs.

Cooperative kinking at distant sites in mechanically stressed DNA.

In cells, DNA is routinely subjected to significant levels of bending and twisting. In some cases, such as under physiological levels of supercoiling, DNA can be so highly strained, that it transitions into non-canonical structural conformations that are capable of relieving mechanical stress within the template. DNA minicircles offer a robust model system to study stress-induced DNA structures. Using DNA minicircles on the order of 100 bp in size, we have been able to control the bending and torsional stresses within a looped DNA construct. Through a combination of cryo-EM image reconstructions, Bal31 sensitivity assays and Brownian dynamics simulations, we have been able to analyze the effects of biologically relevant underwinding-induced kinks in DNA on the overall shape of DNA minicircles. Our results indicate that strongly underwound DNA minicircles, which mimic the physical behavior of small regulatory DNA loops, minimize their free energy by undergoing sequential, cooperative kinking at two sites that are located about 180° apart along the periphery of the minicircle. This novel form of structural cooperativity in DNA demonstrates that bending strain can localize hyperflexible kinks within the DNA template, which in turn reduces the energetic cost to tightly loop DNA.

Bending modes of DNA directly addressed by cryo-electron microscopy of DNA minicircles.

We use cryo-electron microscopy (cryo-EM) to study the 3D shapes of 94-bp-long DNA minicircles and address the question of whether cyclization of such short DNA molecules necessitates the formation of sharp, localized kinks in DNA or whether the necessary bending can be redistributed and accomplished within the limits of the elastic, standard model of DNA flexibility. By comparing the shapes of covalently closed, nicked and gapped DNA minicircles, we conclude that 94-bp-long covalently closed and nicked DNA minicircles do not show sharp kinks while gapped DNA molecules, containing very flexible single-stranded regions, do show sharp kinks. We corroborate the results of cryo-EM studies by using Bal31 nuclease to probe for the existence of kinks in 94-bp-long minicircles.