95:
313:
292:
31:
1075:. The papers indeed "assume" molecules. Based on this assumption, the physical model of Brownian motion makes certain predictions which match critical experimental evidence which otherwise is not explained. Retrospectively, historians trace the acceptance of molecules to the realization that these papers provide a good model, and hence molecules became broadly accepted. That is how physics proceeds. Primary sources should not be the basis of claims in Knowledge.
190:
169:
388:
200:
85:
64:
266:
22:
715:
1056:
The last paragraph of the history section claims that
Einsteins 1905 paper and Smoluchowskis 1906 paper present Brownian motion as proof that molecules exist. I have now, for another reason read those papers, and at no point is the existence of molecules questioned, or considered necessary to be
984:, if you think the content does not accurately summarize what the source says, or if you have better sources. I ask all new editors to temper their enthusiasm with humility, as we have a system here that has worked for twenty years and we do not need your lack of collaboration.
502:
909:
710:{\displaystyle \rho (x,t)+\tau {\frac {\partial \rho (x)}{\partial t}}+\cdots =\rho (x,t+\tau )=\int _{-\infty }^{\infty }\rho (x-\Delta ,t)\cdot \varphi (\Delta )\,\mathrm {d} \Delta =\mathbb {E} _{\Delta }}
1137:
363:
468:
35:
1127:
805:
800:
759:
1157:
1142:
980:
Knowledge takes a dim view of self-proclaimed experts because we only regurgitate sources. If you have a disagreement with content, please explain if you think a cited source
1027:
The article is suitably referenced, with inline citations. It has reliable sources, and any important or controversial material which is likely to be challenged is cited.
151:
1187:
353:
1172:
1152:
1122:
274:
141:
1192:
1167:
256:
246:
1132:
94:
1177:
329:
1182:
1090:
1058:
472:
117:
1162:
1147:
320:
297:
1117:
401:
213:
174:
108:
69:
44:
1031:
There is also a "needing clarification" tag since April 2010 and "too technical" since June 2011. Criteria #4 states,
431:
1022:
410:
1003:
904:{\displaystyle f(x,t+\tau )=\int _{-\infty }^{\infty }f(x+\Delta ,t)\cdot \varphi (\Delta )\mathrm {d} \Delta }
1094:
1062:
975:
205:
1080:
50:
764:
723:
446:
312:
291:
941:
918:
464:
21:
997:
493:
328:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
116:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
991:
416:
1076:
1047:
412:
387:
914:
222:
189:
168:
1072:
987:
100:
1042:
There are many unsourced paragraphs and the article fails the B-class assessment. --
1111:
496:, at the first line of the Taylor Series expansion, we have the following equality:
981:
265:
922:
1057:
proven. Both papers already work within the assumption that molecules exist. --
1043:
84:
63:
1021:
Greetings. The article has been tagged since 2012 with "citation needed". The
325:
195:
90:
456:
Physicists build circuit that generates clean, limitless power from graphene
414:
1098:
1084:
1066:
1051:
1010:
476:
1037:
The article presents its content in an appropriately understandable way
113:
218:
802:?, since Einstein himself derived the Diffusion Equation from
417:
381:
15:
264:
1089:
I think then a secondary source should be cited there.
1138:
Knowledge level-5 vital articles in
Physical sciences
943:
Investigations on the Theory of the
Brownian Movement
808:
767:
726:
505:
324:, a collaborative effort to improve the coverage of
112:, a collaborative effort to improve the coverage of
903:
794:
753:
709:
1128:Knowledge vital articles in Physical sciences
425:This page has archives. Sections older than
8:
217:, which collaborates on articles related to
1158:B-Class physics articles of High-importance
1143:B-Class vital articles in Physical sciences
462:
286:
163:
58:
893:
848:
840:
807:
766:
725:
671:
667:
666:
654:
607:
599:
530:
504:
932:
720:On the right hand side, why do we have
652:
288:
165:
60:
19:
1036:
1033:The article is reasonably well-written
1032:
1026:
469:2a02:587:410b:c290:5918:f010:9a03:72e9
435:when more than 5 sections are present.
461:by University of Arkansas - phys.org
7:
318:This article is within the scope of
273:This article is within the field of
211:This article is within the scope of
106:This article is within the scope of
49:It is of interest to the following
1188:Low-importance Statistics articles
898:
894:
887:
866:
849:
844:
795:{\displaystyle \rho (x+\Delta ,t)}
780:
754:{\displaystyle \rho (x-\Delta ,t)}
739:
692:
672:
659:
655:
646:
625:
608:
603:
550:
533:
14:
1016:Article issues and classification
494:Brownian_motion#Einstein's_theory
429:may be automatically archived by
1173:Systems articles in chaos theory
1153:High-importance physics articles
1123:Knowledge level-5 vital articles
1071:This is why Knowledge relies on
386:
338:Knowledge:WikiProject Statistics
311:
290:
198:
188:
167:
93:
83:
62:
29:
20:
1193:WikiProject Statistics articles
1168:Mid-importance Systems articles
358:This article has been rated as
341:Template:WikiProject Statistics
251:This article has been rated as
146:This article has been rated as
1133:B-Class level-5 vital articles
890:
884:
875:
857:
830:
812:
789:
771:
748:
730:
704:
701:
683:
677:
649:
643:
634:
616:
589:
571:
545:
539:
521:
509:
483:Statistical mechanics theories
1:
1052:08:07, 27 February 2023 (UTC)
923:04:31, 31 December 2020 (UTC)
332:and see a list of open tasks.
231:Knowledge:WikiProject Systems
126:Knowledge:WikiProject Physics
120:and see a list of open tasks.
1178:WikiProject Systems articles
1011:04:36, 2 December 2022 (UTC)
234:Template:WikiProject Systems
129:Template:WikiProject Physics
1183:B-Class Statistics articles
477:23:10, 3 October 2020 (UTC)
1209:
994:if you want my attention.)
940:Einstein, Albert (1956) .
257:project's importance scale
152:project's importance scale
1085:14:46, 21 June 2024 (UTC)
1067:09:55, 21 June 2024 (UTC)
357:
306:
272:
250:
183:
145:
78:
57:
1163:B-Class Systems articles
1148:B-Class physics articles
1099:08:14, 2 July 2024 (UTC)
1118:B-Class vital articles
905:
796:
755:
711:
487:
432:Lowercase sigmabot III
321:WikiProject Statistics
269:
206:Systems science portal
990:this page, so please
906:
797:
756:
712:
268:
36:level-5 vital article
949:. Dover Publications
806:
765:
724:
503:
853:
612:
443:make page (in 2025)
344:Statistics articles
214:WikiProject Systems
109:WikiProject Physics
901:
836:
792:
751:
707:
653:
595:
492:In the subsection
270:
45:content assessment
1073:secondary sources
995:
973:
557:
488:Einstein's theory
479:
467:comment added by
439:
438:
378:
377:
374:
373:
370:
369:
285:
284:
281:
280:
162:
161:
158:
157:
1200:
1023:B-class criteria
1009:
1006:
1000:
985:
979:
971:
958:
957:
955:
954:
948:
937:
910:
908:
907:
902:
897:
852:
847:
801:
799:
798:
793:
760:
758:
757:
752:
716:
714:
713:
708:
676:
675:
670:
658:
611:
606:
558:
556:
548:
531:
447:Brownian battery
434:
418:
390:
382:
364:importance scale
346:
345:
342:
339:
336:
315:
308:
307:
302:
294:
287:
239:
238:
237:Systems articles
235:
232:
229:
208:
203:
202:
201:
192:
185:
184:
179:
171:
164:
134:
133:
132:physics articles
130:
127:
124:
103:
98:
97:
87:
80:
79:
74:
66:
59:
42:
33:
32:
25:
24:
16:
1208:
1207:
1203:
1202:
1201:
1199:
1198:
1197:
1108:
1107:
1035:and #6 states,
1018:
1004:
998:
996:
982:is not reliable
976:UiawsbdNicoDude
970:
968:
966:UiawsbdNicoDude
963:
962:
961:
952:
950:
946:
939:
938:
934:
804:
803:
763:
762:
722:
721:
665:
549:
532:
501:
500:
490:
485:
452:Is related to:
450:
430:
419:
413:
395:
343:
340:
337:
334:
333:
300:
236:
233:
230:
227:
226:
223:systems science
204:
199:
197:
177:
148:High-importance
131:
128:
125:
122:
121:
99:
92:
73:High‑importance
72:
43:on Knowledge's
40:
30:
12:
11:
5:
1206:
1204:
1196:
1195:
1190:
1185:
1180:
1175:
1170:
1165:
1160:
1155:
1150:
1145:
1140:
1135:
1130:
1125:
1120:
1110:
1109:
1106:
1105:
1104:
1103:
1102:
1101:
1054:
1040:
1029:
1017:
1014:
999:Chris Troutman
967:
964:
960:
959:
931:
930:
926:
900:
896:
892:
889:
886:
883:
880:
877:
874:
871:
868:
865:
862:
859:
856:
851:
846:
843:
839:
835:
832:
829:
826:
823:
820:
817:
814:
811:
791:
788:
785:
782:
779:
776:
773:
770:
750:
747:
744:
741:
738:
735:
732:
729:
718:
717:
706:
703:
700:
697:
694:
691:
688:
685:
682:
679:
674:
669:
664:
661:
657:
651:
648:
645:
642:
639:
636:
633:
630:
627:
624:
621:
618:
615:
610:
605:
602:
598:
594:
591:
588:
585:
582:
579:
576:
573:
570:
567:
564:
561:
555:
552:
547:
544:
541:
538:
535:
529:
526:
523:
520:
517:
514:
511:
508:
489:
486:
484:
481:
459:
458:
457:
449:
440:
437:
436:
424:
421:
420:
415:
411:
409:
406:
405:
397:
396:
391:
385:
376:
375:
372:
371:
368:
367:
360:Low-importance
356:
350:
349:
347:
330:the discussion
316:
304:
303:
301:Low‑importance
295:
283:
282:
279:
278:
271:
261:
260:
253:Mid-importance
249:
243:
242:
240:
210:
209:
193:
181:
180:
178:Mid‑importance
172:
160:
159:
156:
155:
144:
138:
137:
135:
118:the discussion
105:
104:
101:Physics portal
88:
76:
75:
67:
55:
54:
48:
26:
13:
10:
9:
6:
4:
3:
2:
1205:
1194:
1191:
1189:
1186:
1184:
1181:
1179:
1176:
1174:
1171:
1169:
1166:
1164:
1161:
1159:
1156:
1154:
1151:
1149:
1146:
1144:
1141:
1139:
1136:
1134:
1131:
1129:
1126:
1124:
1121:
1119:
1116:
1115:
1113:
1100:
1096:
1092:
1091:141.76.69.115
1088:
1087:
1086:
1082:
1078:
1074:
1070:
1069:
1068:
1064:
1060:
1059:141.76.69.115
1055:
1053:
1049:
1045:
1041:
1038:
1034:
1030:
1028:
1025:(#1) states,
1024:
1020:
1019:
1015:
1013:
1012:
1007:
1001:
993:
989:
983:
977:
965:
945:
944:
936:
933:
929:
925:
924:
920:
916:
912:
881:
878:
872:
869:
863:
860:
854:
841:
837:
833:
827:
824:
821:
818:
815:
809:
786:
783:
777:
774:
768:
745:
742:
736:
733:
727:
698:
695:
689:
686:
680:
662:
640:
637:
631:
628:
622:
619:
613:
600:
596:
592:
586:
583:
580:
577:
574:
568:
565:
562:
559:
553:
542:
536:
527:
524:
518:
515:
512:
506:
499:
498:
497:
495:
482:
480:
478:
474:
470:
466:
455:
454:
453:
448:
444:
441:
433:
428:
423:
422:
408:
407:
404:
403:
399:
398:
394:
389:
384:
383:
380:
365:
361:
355:
352:
351:
348:
331:
327:
323:
322:
317:
314:
310:
309:
305:
299:
296:
293:
289:
276:
267:
263:
262:
258:
254:
248:
245:
244:
241:
224:
220:
216:
215:
207:
196:
194:
191:
187:
186:
182:
176:
173:
170:
166:
153:
149:
143:
140:
139:
136:
119:
115:
111:
110:
102:
96:
91:
89:
86:
82:
81:
77:
71:
68:
65:
61:
56:
52:
46:
38:
37:
27:
23:
18:
17:
969:
951:. Retrieved
942:
935:
927:
913:
719:
491:
463:— Preceding
460:
451:
442:
426:
400:
392:
379:
359:
319:
275:Chaos theory
252:
212:
147:
107:
51:WikiProjects
34:
1077:Johnjbarton
1112:Categories
986:(I am not
953:2013-12-25
928:References
915:Zaphodxvii
761:insted of
335:Statistics
326:statistics
298:Statistics
39:is rated
988:watching
465:unsigned
427:365 days
393:Archives
992:ping me
974:editor
362:on the
255:on the
228:Systems
219:systems
175:Systems
150:on the
123:Physics
114:Physics
70:Physics
41:B-class
1044:Otr500
47:scale.
947:(PDF)
28:This
1095:talk
1081:talk
1063:talk
1048:talk
1005:talk
919:talk
473:talk
221:and
142:High
354:Low
247:Mid
1114::
1097:)
1083:)
1065:)
1050:)
972:To
921:)
911:.
899:Δ
888:Δ
882:φ
879:⋅
867:Δ
850:∞
845:∞
842:−
838:∫
828:τ
781:Δ
769:ρ
740:Δ
737:−
728:ρ
693:Δ
690:−
681:ρ
673:Δ
660:Δ
647:Δ
641:φ
638:⋅
626:Δ
623:−
614:ρ
609:∞
604:∞
601:−
597:∫
587:τ
569:ρ
563:⋯
551:∂
537:ρ
534:∂
528:τ
507:ρ
475:)
445::
1093:(
1079:(
1061:(
1046:(
1039:.
1008:)
1002:(
978::
956:.
917:(
895:d
891:)
885:(
876:)
873:t
870:,
864:+
861:x
858:(
855:f
834:=
831:)
825:+
822:t
819:,
816:x
813:(
810:f
790:)
787:t
784:,
778:+
775:x
772:(
749:)
746:t
743:,
734:x
731:(
705:]
702:)
699:t
696:,
687:x
684:(
678:[
668:E
663:=
656:d
650:)
644:(
635:)
632:t
629:,
620:x
617:(
593:=
590:)
584:+
581:t
578:,
575:x
572:(
566:=
560:+
554:t
546:)
543:x
540:(
525:+
522:)
519:t
516:,
513:x
510:(
471:(
402:1
366:.
277:.
259:.
225:.
154:.
53::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.