R.I. Gen. Laws § 34-18-40: Remedies for abandonment.

If the tenant abandons the dwelling unit, the landlord shall send a certified letter, return receipt requested, to the tenant’s last known address giving notice that unless a reply is received from the tenant within seven (7) days, the landlord shall re-rent the premises. If the notice is returned as undeliverable, or the tenant fails to contact the landlord within seven (7) days, the landlord shall make reasonable efforts to rent the premises at a fair rental. If the landlord rents the dwelling unit for a term beginning before the expiration of the rental agreement, the tenancy terminates as of the date of the new tenancy. If the landlord fails to use reasonable efforts to rent the dwelling unit at fair rental, or if the landlord accepts the abandonment as a surrender, the rental agreement is deemed to be terminated by the landlord as of the date the landlord has notice of the abandonment.