Transcription of 5. Phase Transitions
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5. Phase TransitionsAphase transitionis an abrupt, discontinuous change in the properties of a ve already seen one example of a Phase transition in our discussion of Bose-Einsteincondensation. In that case, we had to look fairly closely to see the discontinuity: it waslurking in the derivative of the heat capacity. In other Phase Transitions many ofthem already familiar the discontinuity is more manifest. Examples include steamcondensing to water and water freezing to this section we ll explore a couple of Phase Transitions in some detail and extractsome lessons that are common to all Liquid-Gas TransitionRecall that we derived the van der Waals equation of state for a gas ( ) b av2( )wherev=V/Nis the volume per particle. In the literature, you will also see thisequation written in terms of the particle density =1 the right we fixTat di erent valuesbpvT>TT=TT<TccccFigure 34:and sketch the graph the van der Waals equation.
5. Phase Transitions A phase transition is an abrupt, discontinuous change in the properties of a system. We’ve already seen one example of a phase transition in our discussion of Bose-Einstein condensation. In that case, we had to look fairly closely to see the discontinuity: it was lurking in the derivative of the heat capacity.
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