Powershell scripting

All, I am in the middle of configuring a powershell script that is able to run a BAT file that is stored on a remote server. This script will be ran from our NMS and will run the BAT file remotely (ideally anyway). However, to where our NMS and remote server lie, are across 2 domains and wondered if anyone of a way I can run the powershell script under a different domain credentials?

here is a copy of the scripts that works:

$RemoteServerName = "\\xxx.xxx.xxx.xxx"
$Process = [WMICLASS]"$RemoteServerName\ROOT\CIMV2:win32_process"
$result = $process.create("D:/xxxx/xxx.bat")

surely there must a switch that can be included that can run this task as another remote user?

thanks