Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 51: Delay and feedback Dynamics

DY 51.3: Talk

Thursday, March 10, 2016, 10:30–10:45, H47

Harmonic Oscillator & PID: Precise and Fast Control of Microfluidic Transport — •Claus Fütterer — Biophysical Tools GmbH/Forschung, 04317 Leipzig, Germany

Microfluidic flow control presents a challenge as most methods rely on volume displacement (syringe pump, peristaltic pump). However, the application of pneumatic flow control simplified significantly the task and presents today the state-of-the-art (Fütterer et al., Injection and Flow Control in Microchannels, Lab Chip 4, 351, 2004).

By symmetrisation we could strongly improve the state-of-the-art. We describe the improvements, outline the mathematical model and present measurements. The new approach allows us to apply linear response theory to our control method, which permits total optimization only limited by causality and technical conditions as finite temperature, dead volume and medium properties. It turned out that the equations can be related to the inhomogeneous harmonic oscillator which alleviates the interpretation of the parameters and helps to understand the dynamics significantly. Stability and noise of the stationary as well as the simplest time dependent solutions are further topics of interest.

The presented model can be generalized to numerous other out-of-equilibrium systems involving control of transport of quantities obeying conservation laws.