Sorry to hear this but now it will be free for next 7 days, Now you can get the complet game for free instade of a demo.
Even before you wrote this I had loaded the game and tried to start it. :)))
I tried to run the Windows version using Wine 1.6.2-20. The game starts and I see a menu on black background. I start the game and hear some sounds and someone say something. But I don't have a picture, so I end this attempt with Alt+F4. The Linux version does not start for me...
Reminder:
I can play games like Anno 1404, Tropico 4, 7.62 and "Amnesia: The Dark Descent" on my computer.