Topological defects, inherent structures, and hyperuniformity

Topological Extraction and Tracking of Defects in Crystal Structures

Interfaces between materials with different mechanical properties play an important role in technical applications. Nowadays molecular dynamic simulations are used to observe the behavior of such compound materials at the atomic level. Due to different atom crystal sizes, dislocations in the atom crystal structure occur once external forces are applied, and it has been observed that studying th...

Inflating branes inside topological defects and periodic structures

We study brane world models which contain local topological defects in the bulk and a (3 + 1)-dimensional inflating brane. We put the emphasis on new types of solutions that are periodic in the bulk radial coordinate and thus provide examples of “naturally compactified” brane worlds.

Coherent Structures in Fluids Are Topological Torsion Defects

Cartan’s theory of a global 1-form of Action on a projective variety permits the algebraic evaluation of certain useful geometric and topological objects which can be singular. The projective algebraic methods therefore lend themselves to the development of a theory of coherent structures and defects in which the concept of translational shear dislocations and rotational shear disclinations can...

Nanoparticle controlled soft complex structures with topological defects

Topological Defects and Cosmology

Many particle physics models of matter admit solutions corresponding to stable or long-lived topological defects. In the context of standard cosmology it is then unavoidable that such defects will form during phase transitions in the very early Universe. Certain types of defects lead to disastrous consequences for cosmology, others may play a useful role, as possible seeds for the formation of ...