| Preface |
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vii | |
| Preface to the second edition |
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1 | (46) |
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2 | (11) |
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3 | (1) |
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4 | (2) |
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6 | (1) |
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7 | (2) |
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9 | (4) |
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12 | (1) |
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13 | (5) |
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13 | (1) |
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14 | (4) |
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17 | (1) |
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18 | (14) |
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Discrete probability distributions |
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19 | (1) |
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Continuous probability distributions |
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20 | (1) |
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21 | (1) |
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22 | (1) |
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Linear transformation and the variance |
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23 | (1) |
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24 | (2) |
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26 | (6) |
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29 | (1) |
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29 | (3) |
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Temperature and the Boltzmann factor |
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32 | (15) |
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32 | (1) |
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33 | (2) |
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The microstates and macrostates |
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35 | (1) |
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A statistical definition of temperature |
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36 | (2) |
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38 | (1) |
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38 | (4) |
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Applications of the Boltzmann distribution |
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42 | (5) |
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46 | (1) |
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46 | (1) |
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II Kinetic theory of gases |
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47 | (28) |
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The Maxwell---Boltzmann distribution |
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48 | (8) |
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The velocity distribution |
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48 | (1) |
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49 | (2) |
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Experimental justification |
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51 | (5) |
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54 | (2) |
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56 | (8) |
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57 | (1) |
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58 | (2) |
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60 | (4) |
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61 | (3) |
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64 | (6) |
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64 | (2) |
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66 | (4) |
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69 | (1) |
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The mean free path and collisions |
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70 | (5) |
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70 | (1) |
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The collision cross-section |
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71 | (2) |
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73 | (2) |
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74 | (1) |
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III Transport and thermal diffusion |
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75 | (32) |
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Transport properties in gases |
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76 | (14) |
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76 | (5) |
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81 | (2) |
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83 | (3) |
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86 | (4) |
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88 | (1) |
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89 | (1) |
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The thermal diffusion equation |
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90 | (17) |
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Derivation of the thermal diffusion equation |
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90 | (1) |
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The one-dimensional thermal diffusion equation |
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91 | (3) |
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94 | (1) |
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The thermal diffusion equation for a sphere |
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94 | (5) |
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99 | (1) |
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100 | (1) |
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101 | (1) |
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102 | (5) |
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103 | (4) |
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107 | (18) |
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108 | (10) |
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108 | (2) |
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The first law of thermodynamics |
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110 | (2) |
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112 | (6) |
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115 | (3) |
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Isothermal and adiabatic processes |
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118 | (7) |
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118 | (2) |
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Isothermal expansion of an ideal gas |
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120 | (1) |
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Adiabatic expansion of an ideal gas |
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121 | (1) |
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121 | (4) |
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123 | (2) |
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125 | (46) |
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Heat engines and the second law |
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126 | (14) |
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The second law of thermodynamics |
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126 | (1) |
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127 | (3) |
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130 | (1) |
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Equivalence of Clausius' and Kelvin's statements |
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131 | (1) |
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131 | (2) |
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Heat engines running backwards |
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133 | (1) |
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134 | (6) |
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137 | (1) |
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137 | (3) |
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140 | (17) |
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140 | (1) |
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140 | (2) |
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142 | (2) |
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144 | (2) |
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The statistical basis for entropy |
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146 | (1) |
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147 | (2) |
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149 | (1) |
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150 | (7) |
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153 | (4) |
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157 | (14) |
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Information and Shannon entropy |
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157 | (2) |
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Information and thermodynamics |
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159 | (1) |
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160 | (2) |
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162 | (3) |
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Conditional and joint probabilities |
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165 | (1) |
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165 | (6) |
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168 | (1) |
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169 | (2) |
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VI Thermodynamics in action |
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171 | (38) |
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172 | (19) |
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172 | (1) |
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173 | (1) |
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174 | (1) |
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175 | (1) |
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176 | (3) |
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179 | (12) |
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187 | (4) |
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Rods, bubbles, and magnets |
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191 | (12) |
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191 | (3) |
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194 | (1) |
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Electric and magnetic dipoles |
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195 | (1) |
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196 | (7) |
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201 | (2) |
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203 | (6) |
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Different statements of the third law |
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203 | (2) |
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Consequences of the third law |
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205 | (4) |
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208 | (1) |
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VII Statistical mechanics |
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209 | (80) |
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210 | (9) |
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210 | (3) |
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213 | (2) |
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215 | (2) |
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217 | (2) |
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218 | (1) |
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219 | (14) |
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Writing down the partition function |
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220 | (1) |
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Obtaining the functions of state |
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221 | (7) |
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228 | (1) |
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Combining partition functions |
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228 | (5) |
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232 | (1) |
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Statistical mechanics of an ideal gas |
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233 | (11) |
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233 | (2) |
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235 | (1) |
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236 | (1) |
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Functions of state of the ideal gas |
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237 | (3) |
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240 | (1) |
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Heat capacity of a diatomic gas |
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241 | (3) |
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243 | (1) |
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244 | (19) |
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A definition of the chemical potential |
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244 | (1) |
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The meaning of the chemical potential |
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245 | (2) |
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247 | (1) |
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248 | (2) |
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Chemical potential as Gibbs function per particle |
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250 | (1) |
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250 | (1) |
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Particle number conservation laws |
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251 | (1) |
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Chemical potential and chemical reactions |
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252 | (5) |
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257 | (6) |
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261 | (1) |
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262 | (1) |
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263 | (16) |
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The classical thermodynamics of electromagnetic radiation |
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264 | (1) |
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265 | (1) |
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266 | (2) |
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268 | (1) |
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The statistical mechanics of the photon gas |
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269 | (1) |
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270 | (3) |
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Cosmic microwave background radiation |
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273 | (1) |
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The Einstein A and B coefficients |
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274 | (5) |
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277 | (1) |
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278 | (1) |
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279 | (10) |
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279 | (2) |
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281 | (3) |
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284 | (5) |
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287 | (1) |
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287 | (2) |
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VIII Beyond the ideal gas |
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289 | (86) |
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290 | (6) |
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Relativistic dispersion relation for massive particles |
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290 | (1) |
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The ultrarelativistic gas |
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290 | (3) |
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Adiabatic expansion of an ultrarelativistic gas |
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293 | (3) |
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295 | (1) |
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296 | (17) |
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296 | (8) |
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304 | (2) |
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306 | (4) |
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The law of corresponding states |
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310 | (3) |
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312 | (1) |
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313 | (8) |
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313 | (2) |
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315 | (1) |
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316 | (2) |
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318 | (3) |
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320 | (1) |
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321 | (24) |
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321 | (3) |
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Chemical potential and phase changes |
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324 | (1) |
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The Clausius-Clapeyron equation |
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324 | (5) |
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Stability and metastability |
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329 | (3) |
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332 | (2) |
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334 | (1) |
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Classification of phase transitions |
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335 | (3) |
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338 | (7) |
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343 | (1) |
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343 | (2) |
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Bose---Einstein and Fermi---Dirac distributions |
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345 | (13) |
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345 | (1) |
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Wave functions of identical particles |
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346 | (3) |
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The statistics of identical particles |
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349 | (9) |
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353 | (1) |
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354 | (4) |
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Quantum gases and condensates |
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358 | (17) |
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The non-interacting quantum fluid |
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358 | (3) |
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361 | (5) |
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366 | (1) |
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Bose-Einstein condensation (BEC) |
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367 | (8) |
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373 | (1) |
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373 | (2) |
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375 | (110) |
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376 | (7) |
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Sound waves under isothermal conditions |
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377 | (1) |
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Sound waves under adiabatic conditions |
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377 | (1) |
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Are sound waves in general adiabatic or isothermal? |
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378 | (1) |
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Derivation of the speed of sound within fluids |
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379 | (4) |
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382 | (1) |
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382 | (1) |
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383 | (7) |
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383 | (1) |
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383 | (2) |
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385 | (1) |
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The Rankine-Hugoniot conditions |
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386 | (4) |
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389 | (1) |
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389 | (1) |
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Brownian motion and fluctuations |
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390 | (18) |
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390 | (3) |
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393 | (1) |
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394 | (1) |
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Fluctuations and the availability |
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395 | (2) |
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397 | (3) |
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400 | (8) |
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407 | (1) |
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407 | (1) |
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Non-equilibrium thermodynamics |
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408 | (12) |
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408 | (1) |
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409 | (1) |
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Proof of the Onsager reciprocal relations |
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410 | (3) |
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413 | (4) |
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Time reversal and the arrow of time |
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417 | (3) |
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419 | (1) |
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419 | (1) |
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420 | (15) |
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Gravitational interaction |
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421 | (5) |
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426 | (1) |
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427 | (8) |
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434 | (1) |
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434 | (1) |
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435 | (11) |
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Electron degeneracy pressure |
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435 | (2) |
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437 | (1) |
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438 | (2) |
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440 | (1) |
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441 | (1) |
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442 | (1) |
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Life, the Universe, and entropy |
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443 | (3) |
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445 | (1) |
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445 | (1) |
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446 | (39) |
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446 | (1) |
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The temperature profile in the atmosphere |
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447 | (2) |
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449 | (3) |
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452 | (4) |
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456 | (5) |
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460 | (1) |
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460 | (1) |
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461 | (1) |
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462 | (2) |
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464 | (15) |
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464 | (1) |
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464 | (3) |
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467 | (2) |
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469 | (1) |
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470 | (1) |
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471 | (1) |
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472 | (1) |
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473 | (1) |
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473 | (2) |
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475 | (1) |
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475 | (1) |
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Solution of the diffusion equation |
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476 | (1) |
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477 | (2) |
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The electromagnetic spectrum |
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479 | (1) |
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Some thermodynamical definitions |
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480 | (1) |
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Thermodynamic expansion formulae |
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481 | (1) |
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482 | (1) |
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483 | (2) |
| Bibliography |
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485 | (4) |
| Index |
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489 | |