Removing scroll slider

I try to write software for smartphone phonegap + html5 + jquerymobile
Confronted with the problem

I need to put on one page two list, so that they were independent, ie each with their own scrolls.
That I got http://jsfiddle.net/nalsur/skqmy/1/

But it looks like it’s frankly not much: (
I would like to leave the current functionality but to remove the slider, so that would be between the two lists did not have any items

Is this possible?

Thank you

thank you