YES you can open a demat account irrespective of where you stay at present.
You need a photograph, residential proof ( u have it ) and PAN card ( u have it, too). Only difference is your account information and transactions will be always mailed to you on your Neyveli address as it is your official address.
Meet or call a person from AXIS Bank and they will be too happy to meet you and do all the documentation and procedure for you. They need business.