Related follow-up paper I have published a paper earlier in a journal and would like to submit a continuation of research paper to build on the earlier paper's results. I was wondering how is the second paper identified as a follow up of the original. 

Also, I have changed my name since (same co-authors), do I have to indicate this?

Details

The first paper contained a series of experimental and modelling results for a pure system, and the new paper will contain experimental and modelling results of non-pure versions of the original system.
I assume you would cite your earlier paper somewhere in the introduction of the new paper.  You could write something like this: 

Recently, we (Author1, Author2, &amp; Author3, 2016) presented a series of experimental and modelling results for a pure system.  With the current paper, we would like to extend ... 

Alternatively, a footnote may be appropiate to indicate that the first authors are the same.  

Also, see this publication on the topic of name changes in academia: The Ripple Effect of Women's Name Changes