We have no email server,but we have im tools,I hope my im tool can recieve notification from JIRA issue assigned me , I don't know if there are plugin or product.
Not sure if you can integrate with non-Atlassian IM tools, but you can do it with HipChat:
https://zapier.com/zapbook/hipchat/jira/
https://bitbucket.org/rmanalan/hipchat-for-jira
EDIT: found an integration with GTalk:
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