Mark
I do not know of an article dedicated to the AST in general.
There is much information in Leo Huff's "The Military Board in Confederate Arkansas", Arkansas Historical Quarterly, XXVI (Spring 1967).
Glenn Dedmondt, "The Flags Of Civil War Arkansas", (Pelican Publishing Co., 2009). ISBN 978-1-58980-190-5, while not dedicated to the subject, has a lot of information on the early formation of several of the companies that became the AST.
The first chapters of Merrill Pence's book on the 19th Arkansas have some good information the formation of the 5th Arkansas, AST. http://history-sites.com/cgi-bin/bbs62x/arcwmb/webbbs_config.pl?md=read;id=15062
I like to think that with the help of the folks on this board we have done a good job of documenting the Wikipedia articles on the AST. Looking through the reference sections on these pages may provide a good bibliography of available resources.
https://en.wikipedia.org/wiki/3rd_Regiment,_Arkansas_State_Troops
https://en.wikipedia.org/wiki/4th_Regiment,_Arkansas_State_Troops
https://en.wikipedia.org/wiki/5th_Regiment,_Arkansas_State_Troops
https://en.wikipedia.org/wiki/1st_Arkansas_Light_Artillery
https://en.wikipedia.org/wiki/3rd_Arkansas_Field_Battery
https://en.wikipedia.org/wiki/1st_Cavalry_Regiment,_Arkansas_State_Troops
https://en.wikipedia.org/wiki/1st_Battalion,_Arkansas_State_Troops
https://en.wikipedia.org/wiki/12th_Arkansas_Cavalry_Regiment