SQL Server Min Server Memory
I would suggest you to leave MIN Server memory to DEFAULT.
Min server memory controls the minimum amount of Physical memory that sql server will try to keep committed. When the SQL Server service starts, it does not acquire all the memory configured in Min Server Memory but instead starts with only the minimum required, growing as necessary. Once memory
usage has increased beyond the Min Server Memory setting, SQL Server won’t release any
memory below that amount.
Bob Dorr explains this settings as :

Min Server Memory


Use the min server memory setting with care.   This is a floor to SQL Server.   Once committed memory to reach the min server memory setting SQL Server won't release memory below the mark.   If you set max server memory to 59GB and min server memory to 56GB, but the server needs to back SQL Server down to 53GB SQL Server won't drop below 56GB.    When you combine this setting with locked pages in memory the memory can't be paged.  This can lead to unwanted performance behaviors and allocation failures.





Searching the web -- internet has plenty of information for max server memory

This is because, this settings is least tuned (people just set it to default), instead max memory is what is generally tuned as it is the &quot;ceiling&quot; for the buffer pool. A good value for max memory will ensure that windows and other processes runing on the server will have enough physical memory to perform their work without forcing sql server to trim.