Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

After a decade of periodic truss-, plate-, and shell-based architectures having dominated the
design of metamaterials, we introduce the non-periodic class of spinodoid topologies …

We present a two-scale topology optimization framework for the design of macroscopic
bodies with an optimized elastic response, which is achieved by means of a spatially-variant …

Equilibrium properties of a system of passive diffusing particles in an external magnetic field
are unaffected by Lorentz force. In contrast, active Brownian particles exhibit steady-state …

Abstract Active Brownian particles (ABPs) with pure repulsion is an ideal model to
understand the effect of nonequilibrium on collective behaviors. It has long been established …

The Fokker-Planck equation provides a complete statistical description of a particle
undergoing random motion in a solvent. In the presence of Lorentz force due to an external …

We study the motion of a Brownian particle subjected to Lorentz force due to an external
magnetic field. Each spatial degree of freedom of the particle is coupled to a different …

In systems with overdamped dynamics, the Lorentz force reduces the diffusivity of a
Brownian particle in the plane perpendicular to the magnetic field. The anisotropy in …

Phase separation processes are widely utilized to assemble complex fluids into novel
materials. These separation processes can be thermodynamically driven due to changes in …

We study the stochastic motion of a particle subject to spatially varying Lorentz force in the
small-mass limit. The limiting procedure yields an additional drift term in the overdamped …