Continous heat issues with notebooks
Solution 1:
Even I am running ubuntu 12.10 64 bit on my Asus notebook and I must say its supercool.
The model number that you have specified does not have a dedicated GPU so maybe you cannot use bumblebee or something.
I also owned a HP before, and I must say it gave me heating problems too.
Do you have any memory-eater heavy-on-gpu package like compiz enabled?
try jupiter, a power management app for linux distros
type these in terminal
sudo add-apt-repository ppa:webupd8team/jupiter
sudo apt-get update
sudo apt-get install jupiter
Hope it helps