PAX EVACUATION. SMOKE AROUND THE AFT SECTION OF THE ACFT.

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THIS FLT OCCURRED ON THE THIRD DAY OF A 4 DAY ROTATION. IT WAS OUR FOURTH LEG OF THE DAY. THE FO SERVED AS THE PF ON THIS FLT. WE WERE ASSIGNED THE ACFT IN ATL IMMEDIATELY PRIOR TO THE FLT. UPON RECEIVING THE ACFT; WE NOTED THAT THE MAINT LOG SHOWED THAT THE AIRPHONES AND ONE OF THE HEADSET JACKS IN THE NOSE GEAR ASSEMBLY WERE INOP. I RECALL NO OTHER INOP OR DEFERRED ITEMS. THE TRIP FROM ATL TO BNA PROGRESSED WITHOUT UNUSUAL OCCURRENCE. WE WERE CLRED TO MAKE AN ILS APCH TO RWY 2L. I ELECTED TO ACTIVATE ENG ANTI-ICE PRIOR TO OUR INITIAL DSCNT INTO BNA. THE ACFT TOUCHED DOWN ON SPD IN THE TOUCHDOWN ZONE. THE SPOILER HANDLE ACTIVATED AND ENG THRUST REVERSERS WERE DEPLOYED. SHORTLY THEREAFTER; I HEARD THE INTERCOM CHIME. I PICKED UP THE INTERCOM. A FLT ATTENDANT HAD CALLED FROM THE REAR OF THE ACFT AND SAID THAT SHE WAS HEARING A STRANGE NOISE. I COULD HEAR WHAT SOUNDED LIKE AN AFT LAVATORY SMOKE DETECTOR ALARM IN THE BACKGND. I ASKED THE FLT ATTENDANT TO STAY ON THE LINE. IN SHORT SUCCESSION; OR SIMULTANEOUSLY; WE WERE CONTACTED BY BNA TWR. THE TWR GAVE US INSTRUCTIONS TO TURN OFF THE RWY AT EITHER RWY 31 OR AT THE END OF 2L. THE TWR CALLED BACK AS WE CLRED THE RWY AT TXWY B; AND SAID THAT THERE WAS SMOKE COMING FROM OUR #2 ENG. TWR ALSO ASKED IF WE REQUIRED EMER EQUIP TO BE DISPATCHED. I REPLIED; 'NOT AT THIS TIME;' OR WORDS TO THE EFFECT. WE WERE THEN SWITCHED TO GND CTL. COCKPIT INSTS DID NOT INDICATE ANY UNUSUAL CIRCUMSTANCES. THE AFTER LNDG CHKLIST; INCLUDING SHUTTING DOWN THE #2 ENG; WAS COMPLETED. THE FO ASKED GND IF THEY COULD SEE ANY SMOKE COMING FROM THE ACFT. GND RESPONDED IN THE NEGATIVE. WE TURNED OFF TXWY B; ONTO TXWYS M AND T1. WE ENTERED THE RAMP AREA FROM T1 AND CAME TO A STOP. I ELECTED NOT TO STOP THE ACFT EARLIER BECAUSE THE TERRAIN WAS SUCH THAT AN EVACUATION WOULD POSE SUBSTANTIAL RISK TO THE WELL BEING OF THE PAX AND CREW. UPON STOPPING THE ACFT; WE SET THE PARKING BRAKE AND OPENED THE COCKPIT DOOR. I DID NOT OBSERVE ANY SMOKE IN THE CABIN. I MADE A SHORT PAX ANNOUNCEMENT TO INFORM THE PAX THAT WE WERE STOPPED ON THE RAMP BECAUSE OF A RPT OF SMOKE; THAT WE MIGHT BE EVACUATING AND NOT TO BE UNDULY ALARMED. I ALSO INFORMED THE PAX THAT I WOULD GET BACK TO THEM AS SOON AS I DETERMINED WHAT CONDITIONS WE WERE FACING. WE CONTACTED THE RAMP CTL AND ASKED IF THEY COULD SEE SMOKE. THE RAMP REPLIED AFFIRMATIVELY. GND CTL ALSO CALLED TO SAY WE HAD SMOKE COMING FROM OUR TAIL. I THEN TOLD THE GND TO SEND THE TRUCKS AND THAT WE WERE EVACUATING. THE CUSTOMER SVC COORDINATOR WAS STANDING NEAR THE COCKPIT DOOR. I TOLD HER THAT WE WERE EVACUATING AND THEN MADE A PAX ANNOUNCEMENT INSTRUCTING PAX TO FOLLOW FLT ATTENDANT INSTRUCTIONS IN EVACUATING THE ACFT ON THE RIGHT SIDE. AS THE PAX STOOD UP; WE CONTINUED AND COMPLETED THE EVACUATION CHKLIST. WE THEN LEFT THE COCKPIT TO ASSIST THE EVACUATION PROCESS. THE FO AND I MADE A SWEEP THROUGH THE CABIN TO DETERMINE THAT NO ONE REMAINED ON BOARD PRIOR TO EXITING.