A319 Captain reports thrust reverser fault ECAM message at FL370. Thrust was reduced to idle per ECAM and diverted to nearest suitable airport.

Narrative

During cruise at FL370 approx; 165 NM north of ZZZZ airport received an ECAM for thrust reverser 2 fault. [We] complied with ECAM procedure; followed up with QRH and then non normal supp manual. [We] notified Dispatch of problem. Dispatch also relayed information to check non-normal supplemental manual for LAND ASAP as he had this same issue a week earlier. I agreed on land ASAP and Dispatcher and I agreed to diver to ZZZZ airport. Notified the flight attendants and I had the First Officer make PA announcement. Declared pan pan with Center requested lower altitude and diversion to ZZZZ. Center asked for information on problem. [We] provided brief explanation. Reduced thrust to idle on #2 engine per non normal. Started descent for ZZZZ; I then called the flight attendants and said this would be a precautionary landing and #2 eng was at idle power. Set act up for flaps 3 landing and landed. [We] taxied to gate where Maintenance personnel were waiting. I spoke to Dispatcher on ground; and discussed that Maintenance would MEL thrust reverser and we would continue on. I also discussed on board delay program with the Airport Operations Agent. We were at a gate with a jet bridge. We agreed if we approached 2 hour time I would work with Dispatcher on alternate plans. [We] were on ground approximately 1+35 min completed paper work new release weather and fuel load for 38 minute flight. [We] departed landed [at our next destination with] operations normal.Issue may not have been resolved from previous diversion week prior and repair. ECAM provides little direction on issue. Further QRH also provides little additional information on guidance to sup non normal manual. It would be easier to look at one manual instead of two for expanded information. Task loading is greatly increased when third source of information requires diversion ASAP with thrust at idle from cruise altitude.