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Statistical fluctuations

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many times and the number of heads and tails counted, the ratio of heads to tails will be very close to 1 (about as many heads as tails); but after only a few throws, outcomes with a significant excess of heads over tails or vice versa are common; if an experiment with a few throws is repeated over
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is susceptible to statistical fluctuations as the actual number of electrons per unit time (the current) will fluctuate; this produces detectable and unavoidable electrical noise known as
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processes. They are fundamental and unavoidable. It can be proved that the relative fluctuations reduce as the square root of the number of identical processes.
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processes occur, it can be shown that the outcomes fluctuate (vary in time) and that the fluctuations are inversely proportional to the
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so small that not many electrons are involved flowing through a
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Statistical fluctuations are responsible for many results of
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As an example that will be familiar to all, if a fair
129:are fluctuations in quantities derived from many 266: 177:and over, the outcomes will fluctuate a lot. 8: 50:. Unsourced material may be challenged and 273: 259: 114:Learn how and when to remove this message 7: 227: 225: 48:adding citations to reliable sources 217:Universal conductance fluctuations 14: 229: 20: 144:, including phenomena such as 1: 245:. You can help Knowledge by 164:of the number of processes. 307:Statistical mechanics stubs 323: 224: 63:"Statistical fluctuations" 127:Statistical fluctuations 202:Primordial fluctuations 292:Statistical randomness 302:Statistical mechanics 239:statistical mechanics 138:statistical mechanics 297:Stochastic processes 212:Thermal fluctuations 44:improve this article 237:This article about 207:Quantum fluctuation 254: 253: 156:When a number of 124: 123: 116: 98: 314: 275: 268: 261: 233: 226: 182:electric current 148:in electronics. 131:identical random 119: 112: 108: 105: 99: 97: 56: 24: 16: 322: 321: 317: 316: 315: 313: 312: 311: 282: 281: 280: 279: 222: 198: 170: 154: 120: 109: 103: 100: 57: 55: 41: 25: 12: 11: 5: 320: 318: 310: 309: 304: 299: 294: 284: 283: 278: 277: 270: 263: 255: 252: 251: 234: 220: 219: 214: 209: 204: 197: 194: 174:coin is tossed 169: 166: 153: 150: 142:thermodynamics 122: 121: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 319: 308: 305: 303: 300: 298: 295: 293: 290: 289: 287: 276: 271: 269: 264: 262: 257: 256: 250: 248: 244: 240: 235: 232: 228: 223: 218: 215: 213: 210: 208: 205: 203: 200: 199: 195: 193: 191: 187: 183: 178: 175: 167: 165: 163: 159: 151: 149: 147: 143: 139: 134: 132: 128: 118: 115: 107: 104:February 2011 96: 93: 89: 86: 82: 79: 75: 72: 68: 65: –  64: 60: 59:Find sources: 53: 49: 45: 39: 38: 34: 29:This article 27: 23: 18: 17: 247:expanding it 236: 221: 186:p-n junction 179: 171: 155: 135: 126: 125: 110: 101: 91: 84: 77: 70: 58: 42:Please help 30: 162:square root 152:Description 286:Categories 190:shot noise 146:shot noise 74:newspapers 31:does not 196:See also 168:Examples 88:scholar 52:removed 37:sources 158:random 90:  83:  76:  69:  61:  241:is a 95:JSTOR 81:books 243:stub 140:and 67:news 35:any 33:cite 180:An 46:by 288:: 192:. 274:e 267:t 260:v 249:. 117:) 111:( 106:) 102:( 92:· 85:· 78:· 71:· 54:. 40:.

Index


cite
sources
improve this article
adding citations to reliable sources
removed
"Statistical fluctuations"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
identical random
statistical mechanics
thermodynamics
shot noise
random
square root
coin is tossed
electric current
p-n junction
shot noise
Primordial fluctuations
Quantum fluctuation
Thermal fluctuations
Universal conductance fluctuations
Stub icon
statistical mechanics
stub

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