Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

We review the depinning and nonequilibrium phases of collectively interacting particle
systems driven over random or periodic substrates. This type of system is relevant to vortices …

A continuum field theory approach is presented for modeling elastic and plastic deformation,
free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena …

We use particle-based simulations to examine the static and driven collective phases of
Skyrmions interacting with random quenched disorder. We show that nondissipative effects …

Magnetic skyrmions are particle-like, topologically protected magnetisation entities that are
promising candidates as information carriers in racetrack memory. The transport of …

A review is given on the theory of vortex-glass phases in impure type-II superconductors in
an external field. We begin with a brief discussion of the effects of thermal fluctuations on the …

The fundamental dislocation processes of glide, climb, and annihilation are studied on
diffusive time scales within the framework of a continuum field theory, the phase field crystal …

Superconductors often contain quantized microscopic whirlpools of electrons, called
vortices, that can be modelled as one-dimensional elastic objects. Vortices are a diverse …

Although crystals are usually quite stable, they are sensitive to a disordered environment:
even an infinitesimal amount of impurities can lead to the destruction of crystalline order …

The observation of vortices in superconductors was a major breakthrough in developing the
conceptual background for superconducting applications. Each vortex carries a flux …