I dont think there is Artmoney-like, Tsearch or w/e for process analyzing,
I suggest you to use Wine (Wine Is Not an Emulator), which allows you to run actually 80% of windows' applications.
Wine repository
Once installed, you will use it like that:
xxx@yyy~$ wine "C:\Program files\Artmoney\Artmoney.exe"
(wine create a directory .wine in your home directory, which has a subdirectory, driver_c (if im right), which has "Program Files")
Every program you will install with wine will be in "Program Files by defaults.
wine "C:\Program files\Artmoney\Artmoney.exe"
= wine /xxxx/home/.wine/driver_c/Program\ Files/Artmoney/Artmoney.exe
Have a good day