Design a sample twitter web application with Play Framework 2.3.x with Java. The requirements for this app are:

A user can register with and login/logout of the app
Create a user management scheme that is scalable to N number of nodes of Play servers
A user can broadcast a tweet (all other registered users can view it)
A user can view other user's tweets and when they were posted.
A tweet should be a textual 140-character string
Create a basic UI to demonstrate posting and view tweets.
The system shall be to store user's tweets (persistent storage)
A user shall be able to view tweets in real-time (i.e. if User A posted a tweet, User B should see the post right away if User B is logged in.)


Document the design patterns and development methods used in building
this client.  Identify how you would theoretically scale your design and infrastructure to accommodate a large number of concurrent users.