You can adjourn a game unilaterally only if you have more than 10 minutes for the rest of the game. If you have less than that, the game may be adjourned only with your opponent's consent.
The game is also adjourned in the case of disconnection. It is to be determined that the player who was to make a move has really adjourned the game. It means that he will not be able to create any game if his opponent has challenged him to play the adjourned game off.
If the opponent, who has put the game off, is going online, the user will see a notification on his Control Panel.

All adjourned games available on special page or games page.