Scaling dependence and synchronization of forced mercury beating heart systems

Physical Review. E
Animesh BiswasP Parmananda

Abstract

We perform experiments on a nonautonomous Mercury beating heart system, which is forced to pulsate using an external square wave potential. At suitable frequencies and volumes, the drop exhibits pulsation with polygonal shapes having n corners. We find the scaling dependence of the forcing frequency ν_{n} on the volume V of the drop and establish the relationship ν_{n}∝n/sqrt[V]. It is shown that the geometrical shape of substrate is important for obtaining closer match to these scaling relationships. Furthermore, we study synchronization of two nonidentical drops driven by the same frequency and establish that synchrony happens when the relationship n_{2}/n_{1}=sqrt[V_{2}/V_{1}] is satisfied.

References

Dec 1, 1993·Scientific American·S H Strogatz, I Stewart
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J M CruzP Parmananda
Dec 31, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladimir García-Morales, Katharina Krischer
Jan 2, 2013·The Journal of Physical Chemistry. a·Dinesh Kumar VermaP Parmananda
Jun 5, 2014·The Journal of Physical Chemistry. a·Dinesh Kumar VermaP Parmananda
Oct 25, 2014·The Journal of Physical Chemistry. a·E Ramírez-ÁlvarezM Rivera
Jun 29, 2015·Chaos·Dinesh Kumar VermaM Rivera

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Citations

May 22, 2019·Physical Review. E·Pawan KumarP Parmananda
Feb 20, 2019·Physical Review. E·Jyoti SharmaVéronique Pimienta
Sep 26, 2020·Scientific Reports·Animesh BiswasSudeshna Sinha

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