Library catalogs and article databases (such as PubMed and Google Scholar) allow you to save searches and create "alerts." You will thus receive notification when citations, books, etc. that meet your search criteria are added to the database.
Creating Alerts: PubMed (Instructions and 1.5 minute video).
How to sign up for email alerts in Google Scholar.
In addition, most journals allow you to receive electronic tables of contents ("eTOCs") as new issues come out, or as new articles are posted to their web site.
Keep in mind that once you are not affiliated with UC Berkeley, you will not be able to access the full text of every article from these journal tables of contents unless the article is open access or otherwise freely provided from the publisher.
Alerts and eTOCs may be set up for delivery via email or RSS feed.