Linked published version

README.md

@@ -14,6 +14,6 @@ The second part of the thesis are the papers I have written.
 In the [first paper](https://joss.theoj.org/papers/10.21105/joss.04312) the numerical realization of the problem shown, following a test driven approach and functional computing style.
 The [second paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.033313) introduces the neat tricks we had to come up with to push the shallow water equations into the thin film framework.
 In the [third paper](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.104.034801) we were looking at a rather complex problem and did some cool work both, theoretically and numerically.
-The second part is closed with my [forth paper](https://arxiv.org/abs/2112.09770), actually the one I am kind a proud of. We could find a novel morphological transition and found even a simple theoretical argument to motivate that transition.
+The second part is closed with my [forth paper](https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.8.L122001), actually the one I am kind a proud of. We could find a novel morphological transition and found even a simple theoretical argument to motivate that transition.
 
 After this I have added a short conclusion and some outlook.