Definitions

Definition one
The dispersion of the Jews outside Israel; from the destruction of the temple in Jerusalem in 587-86 BC when they were exiled.
Definition two
An area outside Palestine settled by Jews.
Both of them are related by more than one thing, for example both of them are about Jews outside there ancestral lands or houses.
But there is also things that are not the same like the first definition said they were exiled which means they are banded to go in there ancestral country.
And the other definition only says a place settled by Jews, it didn't say they we're banded.
The first definition also says that they were exiled from the destruction of the temple to Babylon to present time.

sources:http://www.merriam-webster.com/dictionary/diaspora
Sources:http://www.vocabulary.com/dictionary/Diaspora
Wikipedia, bbc.co.uk
Dailymail
Daily motion.
Thesaurus.

Types of diaspora:

1. Victim or forced diaspora