Dear Eliot! Thanks for reply! I noticed that there were many entries like that since one day before the crash. Below is one of them. Please let me know if I can help any further:
Fri May 11 15:17:40 [conn2076909] authenticate: { authenticate: 1, user: "kXXXXX", nonce: "4874a879bb220b35", key: "d1c806f98b28209d440ef75e66df3d42" }
Fri May 11 15:17:40 [conn2076909] ERROR: mmap private failed with out of memory. (64 bit build)
Fri May 11 15:17:40 [conn2076909] Assertion: 13636:file /var/lib/mongodb/kXXXXX_cache.4 open/create failed in createPrivateMap (look in log for more information)
0x588cb2 0x75b95e 0x75c853 0x8a07cb 0x89c0e2 0x89c7c5 0x89ca3f 0x8a1b52 0x8a1d57 0x8aede9 0x8b04bb 0x947ae9 0x94c395 0x88678c 0x8897d5 0xa9c576 0x638937 0x2b843c26dfc7 0x2b843ccf964d
/usr/bin/mongod(_ZN5mongo11msgassertedEiPKc+0x112) [0x588cb2]
/usr/bin/mongod(_ZN5mongo8MongoMMF13finishOpeningEv+0x1be) [0x75b95e]
/usr/bin/mongod(_ZN5mongo8MongoMMF6createESsRyb+0x63) [0x75c853]
/usr/bin/mongod(_ZN5mongo13MongoDataFile4openEPKcib+0x14b) [0x8a07cb]
/usr/bin/mongod(_ZN5mongo8Database7getFileEiib+0x102) [0x89c0e2]
/usr/bin/mongod(_ZN5mongo8Database12suitableFileEPKcibb+0x55) [0x89c7c5]
/usr/bin/mongod(_ZN5mongo8Database11allocExtentEPKcibb+0x7f) [0x89ca3f]
/usr/bin/mongod(_ZN5mongo10outOfSpaceEPKcPNS_16NamespaceDetailsEibNS_7DiskLocE+0x112) [0x8a1b52]
/usr/bin/mongod(_ZN5mongo26allocateSpaceForANewRecordEPKcPNS_16NamespaceDetailsEib+0x77) [0x8a1d57]
/usr/bin/mongod(_ZN5mongo11DataFileMgr6insertEPKcPKvibbPb+0x4a9) [0x8aede9]
/usr/bin/mongod(_ZN5mongo11DataFileMgr16insertWithObjModEPKcRNS_7BSONObjEb+0x4b) [0x8b04bb]
/usr/bin/mongod(_ZN5mongo14_updateObjectsEbPKcRKNS_7BSONObjES2_bbbRNS_7OpDebugEPNS_11RemoveSaverE+0x829) [0x947ae9]
/usr/bin/mongod(_ZN5mongo13updateObjectsEPKcRKNS_7BSONObjES2_bbbRNS_7OpDebugE+0x125) [0x94c395]
/usr/bin/mongod(_ZN5mongo14receivedUpdateERNS_7MessageERNS_5CurOpE+0x47c) [0x88678c]
/usr/bin/mongod(_ZN5mongo16assembleResponseERNS_7MessageERNS_10DbResponseERKNS_11HostAndPortE+0x1105) [0x8897d5]
/usr/bin/mongod(_ZN5mongo16MyMessageHandler7processERNS_7MessageEPNS_21AbstractMessagingPortEPNS_9LastErrorE+0x76) [0xa9c576]