Pressure control system with nonlocal friction

Details Pressure control system with nonlocal friction Pressure control system with nonlocal friction

2008-10-09

arxiv.org/abs/0810.1746v1

Physics

Classical Physics

9 pages and 7 figures

Scientific paper

We analyze the motion of a pressure control system described by a differential equation with nonlocal dissipative force. This system is composed by an oscillator, a membrane and a constant force. We consider the dissipative memory kernel consisting of two terms. One of them is described by the Dirac delta function which represents a local friction, whereas for the second one we consider two types: the exponential and power-law functions which represent nonlocal dissipative forces. For these cases, one can obtain exact solutions for the displacement and velocity. The long-time behaviors of these quantities are also investigated.

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