To be honest, if you can't find a job, I would recommend you do even the cheapest of job than be on JSA. There must be a factory, an industrial area or something where there's likely to be more eastern europeans going there to work than anywhere - you're more than likely to get a job if you go through their resource agency.
Yes working just above minimum pay might not be idea but it gives you more of a direction, experience and opportunity than being on JSA. Plus, if you can get full time, the pay after tax is still miles better than ~£50 a week.
Working in places like that allows you to gain experience which OTHER employers will rather see than a lack of. And if you're a quick learner, coupled with good leadership shkills, I can see you rise quickly and THEN the use of being in a science degree can be useful to the current / other employers - This guy can analyse, passed a science degree, he's able to work and he's achieved something.
*That* will appeal more than where you stand.
I'm not dismissing the fact that you should use the websites as mentioned above, but do that whilst you're working and earning financially and experienced.
Good luck!