Coherent random lasing controlled by Brownian motion of the active scatterer

Active Brownian motion tunable by light.

Active Brownian particles are capable of taking up energy from their environment and converting it into directed motion; examples range from chemotactic cells and bacteria to artificial micro-swimmers. We have recently demonstrated that Janus particles, i.e. gold-capped colloidal spheres, suspended in a critical binary liquid mixture perform active Brownian motion when illuminated by light. In...

Canonical active Brownian motion.

Active Brownian motion is the complex motion of active Brownian particles. They are "active" in the sense that they can transform their internal energy into energy of motion and thus create complex motion patterns. Theories of active Brownian motion so far imposed couplings between the internal energy and the kinetic energy of the system. We investigate how this idea can be naturally taken furt...

Evaluation of Early Active Controlled Motion in Flexor Tendon Repair

Objectives: The objective was to determine the results of early active controlled motion in the patients rehabilitated by our new protocol. Methods: 91 fingers in 64 patients with flexor tendon repair in all zones were enrolled in a single group (quasi-experimental) clinical trial. 58 fingers in 43 patients were assessed at least three months postoperatively. Outcomes were defined using the ...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Random Walks and Brownian Motion

In today’s lecture we present the Brownian motion (BM). We start with an intuitive discussion, describing the BM as a limit of SRW. We present some of the BM properties and try to explain why we can expect these properties from a limit of SRW. We then give a formal definition for BM and prove such a process exists (Wiener 1923). Before the proof we give some important facts about the normal dis...