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Oscillations, Waves, and Interactions - GWDG

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Dynamics of pulsed laser tissue ablation 227<br />

Figure 7. Pressure vs. specific volume projection of the thermodynamic phase diagram<br />

including the spinodal curve <strong>and</strong> equilibrium <strong>and</strong> van der Waals isotherms. Points 1–4<br />

correspond to those shown in Fig. 11. The importance of points 4 ′ , 5, 5 ′ <strong>and</strong> the isoenthalp<br />

is discussed in Sect. 5.4.<br />

4.2 Surface vaporization<br />

Equilibrium vaporization at a liquid–vapour interface is associated with an increase of<br />

specific volume at constant temperature that requires the latent heat of vaporization.<br />

This process can occur at any single location along the binodal in the p–T diagram<br />

of Fig. 6. In the p–v diagram in Fig. 7, surface vaporization is represented by a path<br />

following an equilibrium isotherm that connects a state of saturated liquid with a<br />

state of saturated vapour. Thus vaporization does not occur at a pre-determined temperature<br />

<strong>and</strong> theoretical models that adopt a fixed “vaporization temperature” [49]<br />

violate the basic physics of the process [50]. The actual surface temperature is dictated<br />

by the rate of equilibrium vaporization that balances the irradiance supplied<br />

to the system.<br />

However, during laser ablation, rates of vapour formation in excess of that predicted<br />

by equilibrium vaporization are often achieved. This occurs because the increased<br />

equilibrium vapour pressure corresponding to the increased temperature of the liquid<br />

surface is not established instantaneously. This results in an increased mass flux of<br />

vapour transported into the surroundings known as non-equilibrium interphase mass<br />

transfer <strong>and</strong> can be estimated using arguments from the kinetic theory of gases [51,52].<br />

Nevertheless, even this increased non-equilibrium interphase mass transfer provides<br />

a very small ablation rate. Efficient ablation is achieved at laser irradiances that<br />

deposit energy at a rate that cannot be balanced by surface vaporization processes<br />

alone. This results in material removal via volumetric processes.

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