Disks flowing through a square obstacle array clog for incommensurate driving angles, forming either uniform or heterogeneous clogged states.

To elucidate the nature of load sharing in the growth of multiple biopolymers, we perform stochastic simulations of the growth of biopolymer bundles against obstacles under a broad range of conditions and varying assumptions. The obstacle motion due to thermal fluctuations is treated explicitly. We assume the "Perfect Brownian Ratchet" (PBR) model, in which the polymerization rate equals the fr...

Particle diffusion in the presence of sparse obstacles may be considered as a sequence of relatively long intervals, during which the particle diffuses in regions free of obstacles, separated by relatively short intervals during which the particle suffers multiple collisions with an obstacle. The present paper focuses on the mean duration of the short intervals, called mean encounter time, assu...

The present work is essentially concerned with the development of statistical theory for the low temperature dislocation glide in concentrated solid solutions where atomsized obstacles impede plastic flow. In connection with such a problem, we compute analytically the external force required to drag an elastic string along a discrete twodimensional square lattice, where some obstacles have been...

The present paper deals with an exact semi-analytical formulation of a combined conductive-radiative heat transfer, applied to two-dimensional semi-transparent medium carrying square centered obstacle. gray participating black boundaries absorbs, emits but does not scatter radiation. One intends evaluate the temperature and radiative flux distributions within medium. transfer equation has been ...

The problem of free convection flow and heat transfer of a fluid inside a square cavity having adiabatic obstacle positioned in the center of the cavity has been investigated numerically using a penalty finite element method. Calculations have been made for Rayleigh numbers ranging from 10 to 10 for an obstacle of aspect ratios AR=0, 0.4, 0.5, 0.6. Nusselt number results are presented for Prand...

The problem of generating a smooth reference path, given a finite family of discrete, locally optimal paths, is investigated. A finite discretization of the environment results in a sequence of obstacle-free square cells. The generated path must lie inside the channel generated by these obstacle-free cells, while minimizing certain performance criteria. Two constrained optimization problems are...

We study the transport properties of a system of active particles moving at constant speed in a heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles avoid. Obstacle avoidance is characterized by the particle turning speed γ. We show, through simulations and analytical calculations, that the mean square displa...