Knowledge

Dov Levine

Source đź“ť

172: 58:
made a scientific observation, published in 1984, of "a metallic solid which diffracts electrons like a single crystal but has a point group symmetry (icosahedral) that is inconsistent with lattice translations." When Levine and Steinhardt were shown a preprint, they recognized the diffraction
53:
In 1981, Levine and Steinhardt began developing their theory of a hypothetical new form of matter with icosahedral symmetry (or other forbidden symmetries) that violated the century-old laws of crystallography. The idea, motivated by their study of Penrose tilings, was to consider atomic
54:
arrangements that are quasiperiodic rather than periodic. They introduced the term quasicrystals, short for quasiperiodic crystal, to describe the idea. Independently, in April 1982, while studying an aluminum-manganese alloy, A6Mn,
1647: 1672: 1360: 1677: 763:
Silbert, Leonardo E.; ErtaĹź, Deniz; Grest, Gary S.; Halsey, Thomas C.; Levine, Dov (2002). "Analogies between granular jamming and the liquid-glass transition".
1245: 571:
Bouchaud, J.-P.; Claudin, P.; Levine, D.; Otto, M. (2001). "Force chain splitting in granular materials: A mechanism for large-scale pseudo-elastic behaviour".
1598: 1637: 148: 87: 1687: 1642: 1632: 1657: 1273: 121: 1126:
Martiniani, Stefano; Lemberg, Yuval; Chaikin, Paul M.; Levine, Dov (2020). "Correlation Lengths in the Language of Computable Information".
1652: 1667: 401:
Lacasse, Martin-D.; Grest, Gary S.; Levine, Dov; Mason, T. G.; Weitz, D. A. (1996). "Model for the Elasticity of Compressed Emulsions".
59:
pattern as matching their prediction for an icosahedral quasicrystal and, hence, published their theory and proposed that explanation.
1478: 1325: 26:, soft condensed matter physics (including granular materials, emulsions, and foams), and statistical mechanics out of equilibrium. 363:
Zik, O.; Levine, Dov; Lipson, S. G.; Shtrikman, S.; Stavans, J. (1994). "Rotationally Induced Segregation of Granular Materials".
1186:
Wilken, Sam; Guerra, Rodrigo E.; Levine, Dov; Chaikin, Paul M. (2021). "Random Close Packing as a Dynamical Phase Transition".
186: 182: 957:
Cavagna, Andrea; Giardina, Irene; Grigera, Tomas S.; Jelic, Asja; Levine, Dov; Ramaswamy, Sriram; Viale, Massimiliano (2015).
90:
and from 1988 to 1989 a visiting scientist at the Weizmann Institute. He was from 1988 to 1991 an assistant professor at the
1692: 133: 1662: 705: 512: 118: 1179: 1512:
Hossain, Emroj; Bhadra, Satyanu; Jain, Harsh; Das, Soumen; Bhattacharya, Arnab; Ghosh, Shankar; Levine, Dov (2020).
34:
The son of a professor of physical chemistry, Dov Levine grew up in New York. He graduated in 1979 with a B.S. from
39: 98:, where he is now a professor of physics. For the academic year 1997–1998 he was a visiting member of UCSB's ITP. 154: 102: 511:
Silbert, Leonardo E.; ErtaĹź, Deniz; Grest, Gary S.; Halsey, Thomas C.; Levine, Dov; Plimpton, Steven J. (2001).
1580: 198: 144: 456:
Lau, A. W. C.; Levine, Dov; Pincus, P. (2000). "Novel Electrostatic Attraction from Plasmon Fluctuations".
1682: 1627: 35: 91: 1622: 1535: 1439: 1395: 1195: 1145: 1096: 1037: 980: 921: 866: 819: 772: 727: 682: 641: 590: 534: 475: 420: 372: 326: 278: 229: 127: 1525: 1227: 1169: 1135: 1114: 1086: 1061: 1027: 1006: 970: 945: 911: 890: 856: 835: 809: 751: 717: 657: 631: 606: 580: 558: 524: 499: 465: 444: 410: 350: 316: 66:
Quasicrystals are quasiperiodic structures with an arrangement described by a sum of two or more
1561: 1474: 1468: 1321: 1315: 1219: 1211: 1161: 1053: 998: 937: 882: 788: 743: 550: 491: 436: 388: 342: 304: 245: 71: 67: 1424: 1341: 307:; Levine, Dov (1992). "Self-organization and a dynamical transition in traffic-flow models". 1551: 1543: 1447: 1403: 1203: 1153: 1104: 1045: 988: 929: 874: 827: 780: 735: 690: 649: 598: 542: 483: 428: 380: 334: 286: 237: 704:
Silbert, Leonardo E.; ErtaĹź, Deniz; Grest, Gary S.; Halsey, Thomas C.; Levine, Dov (2002).
619: 1494: 140: 47: 22:(דב לוין, born July 19, 1958) is an American-Israeli physicist, known for his research on 74:; so, they are precisely described like a crystal but in a non-repeating pattern, like a 1539: 1443: 1399: 1199: 1149: 1100: 1041: 984: 925: 870: 831: 823: 776: 731: 686: 645: 594: 538: 479: 424: 376: 330: 282: 233: 1556: 1513: 220:
Levine, Dov; Steinhardt, Paul J. (1986). "Quasicrystals. I. Definition and structure".
1616: 1231: 1173: 839: 661: 291: 266: 262: 55: 1118: 1065: 1010: 949: 902:
Hexner, Daniel; Levine, Dov (2015). "Hyperuniformity of Critical Absorbing States".
894: 847:
Sausset, François; Levine, Dov (2011). "Characterizing Order in Amorphous Systems".
755: 610: 562: 503: 448: 354: 1207: 1157: 1049: 993: 958: 933: 878: 258: 23: 1384:"Metallic Phase with Long-Range Orientational Order and No Translational Symmetry" 1452: 1408: 1383: 653: 487: 432: 784: 739: 669:
Silbert, Leonardo E.; Grest, Gary S.; Plimpton, Steven J.; Levine, Dov (2002).
546: 384: 1109: 1074: 338: 300: 1018:
Hexner, Daniel; Levine, Dov (2017). "Noise, Diffusion, and Hyperuniformity".
1296: 241: 1565: 1223: 1165: 1057: 1002: 959:"Silent Flocks: Constraints on Signal Propagation Across Biological Groups" 941: 886: 792: 747: 618:
ErtaĹź, D.; Grest, G. S.; Halsey, T. C.; Levine, D.; Silbert, L. E. (2001).
554: 495: 440: 392: 602: 346: 249: 722: 636: 585: 529: 470: 321: 106: 95: 415: 132:
Minoru and Ethel Tsutsui Distinguished Graduate Research Award from the
105:
and five other colleagues, research on the development of rechargeable
1547: 1215: 695: 670: 1274:"2010 Oliver E. Buckley Condensed Matter Prize Recipient, Dov Levine" 513:"Granular flow down an inclined plane: Bagnold scaling and rheology" 1530: 1140: 1091: 1032: 1361:"The role of aesthetics in pure and applied mathematical research" 975: 916: 861: 814: 75: 671:"Boundary effects and self-organization in dense granular flows" 83: 800:
Kurchan, Jorge; Levine, Dov (2011). "Order in glassy systems".
165: 1365:
Bulletin of the Institute of Mathematics and Its Applications
1581:"N95 masks could soon be rechargeable instead of disposable" 1648:
Academic staff of Technion – Israel Institute of Technology
1467:
Hargittai, Istvan; Hargittai, Magdolna (29 February 2000).
1314:
Hargittai, Istvan; Hargittai, Magdolna (29 February 2000).
1073:
Martiniani, Stefano; Chaikin, Paul M.; Levine, Dov (2019).
1382:
Shechtman, D.; Blech, I.; Gratias, D.; Cahn, J.W. (1984).
1514:"Recharging and rejuvenation of decontaminated N95 masks" 706:"Geometry of frictionless and frictional sphere packings" 261:; Behrooz, A.; Itzler, M.A.; Wilks, C.; Whitehead, B.; 194: 267:"Studies of quasicrystalline superconducting networks" 82:
Levine was from 1986 to 1988 a postdoctoral member of
1425:"Quasicrystals: A New Class of Ordered Structures" 802:Journal of Physics A: Mathematical and Theoretical 94:. In 1990 he joined the physics department of the 1673:Oliver E. Buckley Condensed Matter Prize winners 1470:In Our Own Image: Personal Symmetry in Discovery 1317:In Our Own Image: Personal Symmetry in Discovery 64: 44:Quasicrystals: A New Class of Ordered Structure 1607:(search on year=2021 and institution=Technion) 1268: 1266: 1264: 1262: 1260: 1075:"Quantifying Hidden Order out of Equilibrium" 38:and in 1986 with a Ph.D. in physics from the 8: 1555: 1529: 1451: 1407: 1139: 1108: 1090: 1031: 992: 974: 915: 860: 813: 721: 694: 635: 584: 528: 469: 414: 320: 290: 1678:Fellows of the American Physical Society 197:by adding descriptive text and removing 149:Oliver E. Buckley Condensed Matter Prize 1256: 70:whose periods have a ratio equal to an 1579:Coldewey, Devin (14 September 2020). 1423:Levine, D.; Steinhardt, P.J. (1984). 1291: 1289: 1287: 620:"Gravity-driven dense granular flows" 122:Presidential Young Investigator Award 7: 1246:Biham–Middleton–Levine traffic model 1499:Department of Physics, the Technion 14: 1638:University of Pennsylvania alumni 170: 573:The European Physical Journal E 1208:10.1103/PhysRevLett.127.038002 1158:10.1103/PhysRevLett.125.170601 1050:10.1103/PhysRevLett.118.020601 994:10.1103/PhysRevLett.114.218101 934:10.1103/PhysRevLett.114.110602 879:10.1103/PhysRevLett.107.045501 1: 1688:Scientists from New York City 1643:University of Florida faculty 1633:Stony Brook University alumni 1301:American Institute of Physics 832:10.1088/1751-8113/44/3/035001 1658:Israeli materials scientists 292:10.1016/0921-4526(88)90076-2 134:New York Academy of Sciences 1653:Condensed matter physicists 1453:10.1103/PhysRevLett.53.2477 1409:10.1103/PhysRevLett.53.1951 488:10.1103/PhysRevLett.84.4116 433:10.1103/PhysRevLett.76.3448 271:Physica B: Condensed Matter 119:National Science Foundation 101:In 2020 he published, with 1709: 1668:Jewish American physicists 785:10.1103/PhysRevE.65.051307 740:10.1103/PhysRevE.65.031304 547:10.1103/PhysRevE.64.051302 385:10.1103/PhysRevLett.73.644 40:University of Pennsylvania 1603:American Physical Society 1473:. Springer. p. 173. 1320:. Springer. p. 169. 1278:American Physical Society 1110:10.1103/PhysRevX.9.011031 654:10.1209/epl/i2001-00508-7 339:10.1103/PhysRevA.46.R6124 155:American Physical Society 62:According to Steinhardt: 1188:Physical Review Letters 1128:Physical Review Letters 1020:Physical Review Letters 963:Physical Review Letters 904:Physical Review Letters 849:Physical Review Letters 458:Physical Review Letters 403:Physical Review Letters 365:Physical Review Letters 242:10.1103/PhysRevB.34.596 199:less pertinent examples 88:ITP (now known as KIPT) 1297:"D. Levine, Biography" 1180:Rudin–Shapiro sequence 80: 36:Stony Brook University 603:10.1007/s101890170100 567:(over 1050 citations) 359:(over 1050 citations) 265:; Levine, D. (1988). 162:Selected publications 92:University of Florida 1599:"APS Fellow Archive" 1359:Penrose, R. (1974). 397:(over 350 citations) 254:(over 850 citations) 30:Education and career 1693:American physicists 1540:2020PhFl...32i3304H 1444:1984PhRvL..53.2477L 1400:1984PhRvL..53.1951S 1200:2021PhRvL.127c8002W 1150:2020PhRvL.125q0601M 1101:2019PhRvX...9a1031M 1042:2017PhRvL.118b0601H 985:2015PhRvL.114u8101C 926:2015PhRvL.114k0602H 871:2011PhRvL.107d5501S 824:2011JPhA...44c5001K 777:2002PhRvE..65e1307S 732:2002PhRvE..65c1304S 687:2002PhFl...14.2637S 646:2001EL.....56..214E 624:Europhysics Letters 595:2001EPJE....4..451B 539:2001PhRvE..64e1302S 480:2000PhRvL..84.4116L 425:1996PhRvL..76.3448L 377:1994PhRvL..73..644Z 331:1992PhRvA..46.6124B 315:(10): R6124–R6127. 283:1988PhyB..152..113C 234:1986PhRvB..34..596L 195:improve the article 153:2021 Fellow of the 128:Tel Aviv University 126:Alon Fellowship at 42:. His Ph.D. thesis 1663:Israeli physicists 305:Middleton, A. Alan 68:periodic functions 46:was supervised by 16:American physicist 1548:10.1063/5.0023940 1518:Physics of Fluids 1438:(26): 2477–2480. 1394:(20): 1951–1953. 1079:Physical Review X 765:Physical Review E 710:Physical Review E 696:10.1063/1.1487379 675:Physics of Fluids 517:Physical Review E 464:(18): 4116–4119. 409:(18): 3448–3451. 309:Physical Review A 222:Physical Review B 216: 215: 113:Awards and honors 72:irrational number 1700: 1608: 1606: 1595: 1589: 1588: 1576: 1570: 1569: 1559: 1533: 1509: 1503: 1502: 1491: 1485: 1484: 1464: 1458: 1457: 1455: 1429: 1420: 1414: 1413: 1411: 1379: 1373: 1372: 1356: 1350: 1349: 1338: 1332: 1331: 1311: 1305: 1304: 1293: 1282: 1281: 1270: 1235: 1177: 1143: 1122: 1112: 1094: 1069: 1035: 1014: 996: 978: 953: 919: 898: 864: 843: 817: 796: 759: 725: 723:cond-mat/0111140 700: 698: 681:(8): 2637–2646. 665: 639: 637:cond-mat/0005051 614: 588: 586:cond-mat/0011213 566: 532: 530:cond-mat/0105071 507: 473: 471:cond-mat/0006266 452: 418: 396: 358: 324: 322:cond-mat/9206001 296: 294: 277:(1–2): 113–124. 253: 211: 208: 202: 174: 173: 166: 1708: 1707: 1703: 1702: 1701: 1699: 1698: 1697: 1613: 1612: 1611: 1597: 1596: 1592: 1578: 1577: 1573: 1511: 1510: 1506: 1493: 1492: 1488: 1481: 1466: 1465: 1461: 1432:Phys. Rev. Lett 1427: 1422: 1421: 1417: 1388:Phys. Rev. Lett 1381: 1380: 1376: 1358: 1357: 1353: 1340: 1339: 1335: 1328: 1313: 1312: 1308: 1295: 1294: 1285: 1272: 1271: 1258: 1254: 1242: 1185: 1125: 1072: 1017: 956: 901: 846: 799: 762: 703: 668: 617: 570: 510: 455: 416:mtrl-th/9603006 400: 362: 299: 257: 219: 212: 206: 203: 192: 175: 171: 164: 141:Paul Steinhardt 115: 48:Paul Steinhardt 32: 17: 12: 11: 5: 1706: 1704: 1696: 1695: 1690: 1685: 1680: 1675: 1670: 1665: 1660: 1655: 1650: 1645: 1640: 1635: 1630: 1625: 1615: 1614: 1610: 1609: 1590: 1571: 1504: 1486: 1479: 1459: 1415: 1374: 1351: 1333: 1326: 1306: 1283: 1255: 1253: 1250: 1249: 1248: 1241: 1238: 1237: 1236: 1183: 1134:(17): 170601. 1123: 1070: 1015: 969:(21): 218101. 954: 910:(11): 110602. 899: 844: 797: 760: 701: 666: 630:(2): 214–220. 615: 579:(4): 451–457. 568: 508: 453: 398: 371:(5): 644–647. 360: 297: 255: 228:(2): 596–616. 214: 213: 178: 176: 169: 163: 160: 159: 158: 151: 137: 130: 124: 114: 111: 31: 28: 15: 13: 10: 9: 6: 4: 3: 2: 1705: 1694: 1691: 1689: 1686: 1684: 1683:Quasicrystals 1681: 1679: 1676: 1674: 1671: 1669: 1666: 1664: 1661: 1659: 1656: 1654: 1651: 1649: 1646: 1644: 1641: 1639: 1636: 1634: 1631: 1629: 1628:Living people 1626: 1624: 1621: 1620: 1618: 1604: 1600: 1594: 1591: 1586: 1582: 1575: 1572: 1567: 1563: 1558: 1553: 1549: 1545: 1541: 1537: 1532: 1527: 1524:(9): 093304. 1523: 1519: 1515: 1508: 1505: 1500: 1496: 1490: 1487: 1482: 1480:9780306460913 1476: 1472: 1471: 1463: 1460: 1454: 1449: 1445: 1441: 1437: 1433: 1426: 1419: 1416: 1410: 1405: 1401: 1397: 1393: 1389: 1385: 1378: 1375: 1370: 1366: 1362: 1355: 1352: 1347: 1343: 1337: 1334: 1329: 1327:9780306460913 1323: 1319: 1318: 1310: 1307: 1302: 1298: 1292: 1290: 1288: 1284: 1279: 1275: 1269: 1267: 1265: 1263: 1261: 1257: 1251: 1247: 1244: 1243: 1239: 1233: 1229: 1225: 1221: 1217: 1213: 1209: 1205: 1201: 1197: 1194:(3): 038002. 1193: 1189: 1184: 1181: 1175: 1171: 1167: 1163: 1159: 1155: 1151: 1147: 1142: 1137: 1133: 1129: 1124: 1120: 1116: 1111: 1106: 1102: 1098: 1093: 1088: 1085:(1): 011031. 1084: 1080: 1076: 1071: 1067: 1063: 1059: 1055: 1051: 1047: 1043: 1039: 1034: 1029: 1026:(2): 020601. 1025: 1021: 1016: 1012: 1008: 1004: 1000: 995: 990: 986: 982: 977: 972: 968: 964: 960: 955: 951: 947: 943: 939: 935: 931: 927: 923: 918: 913: 909: 905: 900: 896: 892: 888: 884: 880: 876: 872: 868: 863: 858: 855:(4): 045501. 854: 850: 845: 841: 837: 833: 829: 825: 821: 816: 811: 808:(3): 035001. 807: 803: 798: 794: 790: 786: 782: 778: 774: 771:(5): 051307. 770: 766: 761: 757: 753: 749: 745: 741: 737: 733: 729: 724: 719: 716:(3): 031304. 715: 711: 707: 702: 697: 692: 688: 684: 680: 676: 672: 667: 663: 659: 655: 651: 647: 643: 638: 633: 629: 625: 621: 616: 612: 608: 604: 600: 596: 592: 587: 582: 578: 574: 569: 564: 560: 556: 552: 548: 544: 540: 536: 531: 526: 523:(5): 051302. 522: 518: 514: 509: 505: 501: 497: 493: 489: 485: 481: 477: 472: 467: 463: 459: 454: 450: 446: 442: 438: 434: 430: 426: 422: 417: 412: 408: 404: 399: 394: 390: 386: 382: 378: 374: 370: 366: 361: 356: 352: 348: 344: 340: 336: 332: 328: 323: 318: 314: 310: 306: 302: 298: 293: 288: 284: 280: 276: 272: 268: 264: 260: 259:Chaikin, P.M. 256: 251: 247: 243: 239: 235: 231: 227: 223: 218: 217: 210: 200: 196: 190: 188: 184: 179:This section 177: 168: 167: 161: 156: 152: 150: 146: 142: 138: 135: 131: 129: 125: 123: 120: 117: 116: 112: 110: 108: 104: 103:Shankar Ghosh 99: 97: 93: 89: 85: 79: 77: 73: 69: 63: 60: 57: 56:Dan Shechtman 51: 49: 45: 41: 37: 29: 27: 25: 24:quasicrystals 21: 20:Dov I. Levine 1602: 1593: 1584: 1574: 1521: 1517: 1507: 1498: 1495:"Dov Levine" 1489: 1469: 1462: 1435: 1431: 1418: 1391: 1387: 1377: 1368: 1364: 1354: 1346:Physics Tree 1345: 1342:"Dov Levine" 1336: 1316: 1309: 1300: 1277: 1191: 1187: 1131: 1127: 1082: 1078: 1023: 1019: 966: 962: 907: 903: 852: 848: 805: 801: 768: 764: 713: 709: 678: 674: 627: 623: 576: 572: 520: 516: 461: 457: 406: 402: 368: 364: 312: 308: 274: 270: 225: 221: 204: 193:Please help 181:may contain 180: 100: 81: 65: 61: 52: 43: 33: 19: 18: 1623:1958 births 1585:yahoo! news 301:Biham, Ofer 145:Alan Mackay 1617:Categories 1531:2004.13641 1371:: 266–271. 1252:References 1141:2004.03502 1092:1708.04993 1033:1611.02386 187:irrelevant 1232:236531841 1174:215238667 976:1410.2868 917:1407.0146 862:1103.2977 840:118335283 815:1008.4068 662:113715251 263:Grest, G. 207:July 2023 183:excessive 107:N95 masks 1566:32982134 1240:See also 1224:34328779 1166:33156672 1119:54647207 1066:23296146 1058:28128632 1011:43531328 1003:26066459 950:23951607 942:25839254 895:43395005 887:21867017 793:12059551 756:43696767 748:11909043 611:17109407 563:32482459 555:11735913 504:43080552 496:10990624 449:15288740 441:10060969 393:10057501 355:14543020 189:examples 96:Technion 1557:7513826 1536:Bibcode 1440:Bibcode 1396:Bibcode 1216:1850634 1196:Bibcode 1146:Bibcode 1097:Bibcode 1038:Bibcode 981:Bibcode 922:Bibcode 867:Bibcode 820:Bibcode 773:Bibcode 728:Bibcode 683:Bibcode 642:Bibcode 591:Bibcode 535:Bibcode 476:Bibcode 421:Bibcode 373:Bibcode 347:9907993 327:Bibcode 279:Bibcode 250:9939667 230:Bibcode 1564:  1554:  1477:  1324:  1230:  1222:  1214:  1172:  1164:  1117:  1064:  1056:  1009:  1001:  948:  940:  893:  885:  838:  791:  754:  746:  660:  609:  561:  553:  502:  494:  447:  439:  391:  353:  345:  248:  147:, the 1526:arXiv 1428:(PDF) 1228:S2CID 1178:(See 1170:S2CID 1136:arXiv 1115:S2CID 1087:arXiv 1062:S2CID 1028:arXiv 1007:S2CID 971:arXiv 946:S2CID 912:arXiv 891:S2CID 857:arXiv 836:S2CID 810:arXiv 752:S2CID 718:arXiv 658:S2CID 632:arXiv 607:S2CID 581:arXiv 559:S2CID 525:arXiv 500:S2CID 466:arXiv 445:S2CID 411:arXiv 351:S2CID 317:arXiv 139:With 76:glass 1562:PMID 1475:ISBN 1322:ISBN 1220:PMID 1212:OSTI 1162:PMID 1054:PMID 999:PMID 938:PMID 883:PMID 789:PMID 744:PMID 551:PMID 492:PMID 437:PMID 389:PMID 343:PMID 246:PMID 143:and 84:UCSB 1552:PMC 1544:doi 1448:doi 1404:doi 1204:doi 1192:127 1154:doi 1132:125 1105:doi 1046:doi 1024:118 989:doi 967:114 930:doi 908:114 875:doi 853:107 828:doi 781:doi 736:doi 691:doi 650:doi 599:doi 543:doi 484:doi 429:doi 381:doi 335:doi 287:doi 275:152 238:doi 185:or 86:'s 1619:: 1601:. 1583:. 1560:. 1550:. 1542:. 1534:. 1522:32 1520:. 1516:. 1497:. 1446:. 1436:53 1434:. 1430:. 1402:. 1392:53 1390:. 1386:. 1369:10 1367:. 1363:. 1344:. 1299:. 1286:^ 1276:. 1259:^ 1226:. 1218:. 1210:. 1202:. 1190:. 1182:.) 1168:. 1160:. 1152:. 1144:. 1130:. 1113:. 1103:. 1095:. 1081:. 1077:. 1060:. 1052:. 1044:. 1036:. 1022:. 1005:. 997:. 987:. 979:. 965:. 961:. 944:. 936:. 928:. 920:. 906:. 889:. 881:. 873:. 865:. 851:. 834:. 826:. 818:. 806:44 804:. 787:. 779:. 769:65 767:. 750:. 742:. 734:. 726:. 714:65 712:. 708:. 689:. 679:14 677:. 673:. 656:. 648:. 640:. 628:56 626:. 622:. 605:. 597:. 589:. 575:. 557:. 549:. 541:. 533:. 521:64 519:. 515:. 498:. 490:. 482:. 474:. 462:84 460:. 443:. 435:. 427:. 419:. 407:76 405:. 387:. 379:. 369:73 367:. 349:. 341:. 333:. 325:. 313:46 311:. 303:; 285:. 273:. 269:. 244:. 236:. 226:34 224:. 109:. 50:. 1605:. 1587:. 1568:. 1546:: 1538:: 1528:: 1501:. 1483:. 1456:. 1450:: 1442:: 1412:. 1406:: 1398:: 1348:. 1330:. 1303:. 1280:. 1234:. 1206:: 1198:: 1176:. 1156:: 1148:: 1138:: 1121:. 1107:: 1099:: 1089:: 1083:9 1068:. 1048:: 1040:: 1030:: 1013:. 991:: 983:: 973:: 952:. 932:: 924:: 914:: 897:. 877:: 869:: 859:: 842:. 830:: 822:: 812:: 795:. 783:: 775:: 758:. 738:: 730:: 720:: 699:. 693:: 685:: 664:. 652:: 644:: 634:: 613:. 601:: 593:: 583:: 577:4 565:. 545:: 537:: 527:: 506:. 486:: 478:: 468:: 451:. 431:: 423:: 413:: 395:. 383:: 375:: 357:. 337:: 329:: 319:: 295:. 289:: 281:: 252:. 240:: 232:: 209:) 205:( 201:. 191:. 157:. 136:. 78:.

Index

quasicrystals
Stony Brook University
University of Pennsylvania
Paul Steinhardt
Dan Shechtman
periodic functions
irrational number
glass
UCSB
ITP (now known as KIPT)
University of Florida
Technion
Shankar Ghosh
N95 masks
National Science Foundation
Presidential Young Investigator Award
Tel Aviv University
New York Academy of Sciences
Paul Steinhardt
Alan Mackay
Oliver E. Buckley Condensed Matter Prize
American Physical Society
excessive
irrelevant
improve the article
less pertinent examples
Bibcode
1986PhRvB..34..596L
doi
10.1103/PhysRevB.34.596

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑