We need to pay attention to the phrase "particularly describing the place to be searched". We need a way to define 'location' within a digital landscape. One possibility is to add a second dimension to the definition. An example: "location and time of storage". I'd like to see us push (as a society) that searches of "information" must notate the very "disk sector"/"network segment"/"geographic point to within 5ft" upon which the information sits AND specify a time limit (can't look at data after x number of years - not solvable right now maybe?).
I would consider digital files to be akin to "papers and effects", and would be subject to the same discretion under a warrant. (I.e. the evidence we're looking for is specifically in this app's chat log from [reasonable date] to [reasonable date])