Vlasov dynamics of 1D models with long-rang interactions.

Nanomotors are small devices that move by themselves when they are fueled. They are smaller than 1 micron, meaning that you could fit such a motor in a biological cell. It also mean that you cannot build a nanomotor with mechanical parts like the engine in a car, as it is not possible to manufacture parts of this size. The motion of a nanomotors is erratic: they are so small that they feel strong kicks from other small molecules. My project concerns the theory of how nanomotors use their fuel to move, the mechanisms with which the fuel is consumed and the efficiency of the motors. The presence of noise in the motion is taken into account. My project also include the development of computer programs to study "virtual" motors, so that I can observe them with a lot of details to understand them. The possibility to perform virtual experiments allows to validate the theory and to compare to actual experiments. Later, when nanomotors are well studied, researchers expect that we will be able to use them as nanomachines to assemble nanoparts or to transport small parts in "nano factories" and also in biological systems.