The expansion of the nanoplasma is driven by two pressures, the Coulomb pressure arising from repulsion between ions following a charge build-up

See formula (5) [TD69.pdf, page 313]

and the

See formula (6) [TD69.pdf, page 313]

where

See Also

*Qe*on the cluster of radius*r*:See formula (5) [TD69.pdf, page 313]

and the

__hydrodynamic pressure__from the hot electrons (one can think of the hot electrons expand outwards, dragging the ions with them):See formula (6) [TD69.pdf, page 313]

where

*k*is the Boltzmann constant and*T*the electron temperature. The_{e}*Q/r*scaling of^{4}*P*shows that it will be important for small clusters or for low_{Coul}*Z*clusters where the electrons are not confined and*Q*can become large. The__hydrodynamic pressure__scales as*r*(since^{-3}*n*~ volume_{e}^{-1}), so is therefore more important for larger clusters. The internal pressure driving the cluster apart can be huge. For realistic nanoplasma conditions (*n*= 10_{e}^{23}cm^{-3},*kT*= 1 keV), the_{e}__hydrodynamic pressure__,*P*â‰ˆ 100 Mbar. It is hardly surprising that the end result is an explosion of the nanoplasma that gives rise to a shrapnel of high energy ions and electrons. The cluster expansion rate is calculated in the model by equating the rate of change of the cluster kinetic energy (proportional to the total pressure_{H}*P*+_{Coul}*P*) with the rate at which work is done by the plasma in its expansion [41]. At any stage in the interaction the model allows the relative significance of the Coulomb and_{H}__hydrodynamic pressures__to be compared. Simulations shows that 'P_{H}*dominates over*P_{Coul}*for Ar, Kr and Xe clusters greater than*r'' > 2 nm. [TD69.pdf page 313-314]See Also

**3.14 - Vortex Theory of Atomic Motions****5.8.5 - The complete Contraction Expansion Cycle is as follows****9.27 - Expansion and Contraction****13.04 - Atomic Subdivision****16.15 - Negative Electricity is Expansion****atomic****Atomic Cluster Heating****Atomic Cluster Ionization****Atomic Cluster X-Ray Emission****Atomic Clusters****Atomic Force****atomic mass****atomic number****atomic theory****atomic triplet****atomic weight****diatomic****Egyptian fraction expansion****expansion****Figure 13.06 - Atomic Subdivision****Figure 14.10 - Proportionate Tonal Relations dictate Contraction or Expansion****Figure 3.28 - Compression and Expansion Forces in Gyroscopic Motions****Figure 9.10 - Phases of a Wave as series of Expansions and Contractions****Figure 9.5 - Phases of a Wave as series of Expansions and Contractions****Force-Atomic****Formation of Atomic Clusters****Hydrodynamic Equations - Vortex Motions****Hydrodynamic Expansion****InterAtomic****Laser Cluster Interactions****Law of Atomic Dissociation****Law of Atomic Pitch****Law of Oscillating Atomic Substances****Law of Pitch of Atomic Oscillation****Law of Variation of Atomic Oscillation by Electricity****Law of Variation of Atomic Oscillation by Sono-thermism****Law of Variation of Atomic Oscillation by Temperature****Law of Variation of Atomic Pitch by Electricity and Magnetism****Law of Variation of Atomic Pitch by Rad-energy****Law of Variation of Atomic Pitch by Temperature****Law of Variation of Pitch of Atomic Oscillation by Pressure****Models of Laser Cluster Interactions****monatomic****Nanoplasma****subatomic**