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Physical knot theory

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160: 39:(Kauffman 1991). Physical knot theory is used to study how geometric and topological characteristics of filamentary structures, such as magnetic flux tubes, vortex filaments, polymers, DNAs, influence their physical properties and functions. It has applications in various fields of science, including 66:. Physical knot theory incorporates more realistic models. The traditional model is also studied but with an eye toward properties of specific embeddings ("conformations") of the circle. Such properties include 77:
Most of the work discussed in this article and in the references below is not concerned with knots tied in physical pieces of rope. For the more specific physics of such knots, see
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models a knot as a simple closed loop in three-dimensional space. Such a knot has no thickness or physical properties such as
194: 225: 40: 187: 220: 20: 59: 171: 132: 104: 90: 214: 118: 167: 71: 55: 67: 32: 159: 63: 36: 28: 78: 24: 48: 135:(1998) Applications of knot theory in fluid mechanics. In 175: 27:phenomena, often motivated by considerations from 195: 8: 202: 188: 79:Knot: Physical theory of friction knots 123:Energy of Knots and Conformal Geometry 147:, Polish Academy of Sciences, Warsaw. 143:), pp. 321–346. Banach Center Publs. 51:biology (Kauffman 1991, Ricca 1998). 7: 156: 154: 14: 125:. Series on Knots and Everything 111:. Series on Knots and Everything 97:. Series on Knots and Everything 158: 1: 174:. You can help Knowledge by 242: 153: 41:topological fluid dynamics 109:Knots and Applications 45:structural complexity 17:Physical knot theory 168:knot theory-related 129:, World Scientific. 115:, World Scientific. 101:, World Scientific. 21:mathematical models 139:(ed. V.F.R. Jones 226:Knot theory stubs 183: 182: 95:Knots and Physics 233: 204: 197: 190: 162: 155: 107:, Editor (1991) 19:is the study of 241: 240: 236: 235: 234: 232: 231: 230: 211: 210: 209: 208: 151: 87: 74:(O’Hara 2003). 12: 11: 5: 239: 237: 229: 228: 223: 213: 212: 207: 206: 199: 192: 184: 181: 180: 163: 149: 148: 130: 116: 105:Kauffman, L.H. 102: 91:Kauffman, L.H. 86: 83: 13: 10: 9: 6: 4: 3: 2: 238: 227: 224: 222: 219: 218: 216: 205: 200: 198: 193: 191: 186: 185: 179: 177: 173: 170:article is a 169: 164: 161: 157: 152: 146: 142: 138: 134: 131: 128: 124: 120: 117: 114: 110: 106: 103: 100: 96: 92: 89: 88: 84: 82: 80: 75: 73: 72:knot energies 69: 65: 61: 57: 52: 50: 47:analysis and 46: 42: 38: 34: 30: 26: 22: 18: 176:expanding it 165: 150: 144: 140: 136: 126: 122: 112: 108: 98: 94: 76: 70:and various 54:Traditional 53: 16: 15: 221:Knot theory 137:Knot Theory 133:Ricca, R.L. 56:knot theory 215:Categories 119:O’Hara, J. 85:References 68:ropelength 33:chemistry 64:friction 25:knotting 121:(2003) 93:(1991) 60:tension 37:physics 29:biology 141:et al. 35:, and 166:This 172:stub 62:or 49:DNA 23:of 217:: 145:42 127:33 81:. 43:, 31:, 203:e 196:t 189:v 178:. 113:6 99:1

Index

mathematical models
knotting
biology
chemistry
physics
topological fluid dynamics
structural complexity
DNA
knot theory
tension
friction
ropelength
knot energies
Knot: Physical theory of friction knots
Kauffman, L.H.
Kauffman, L.H.
O’Hara, J.
Ricca, R.L.
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knot theory-related
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expanding it
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Knot theory
Knot theory stubs

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