TY - JOUR
T1 - Nucleation and growth with periodic modulation
T2 - Asymptotic versus exact results
AU - Shneidman, V. A.
AU - Hänggi, P.
PY - 1994
Y1 - 1994
N2 - We consider the nucleation and growth of cavities in a metastable viscous liquid with a periodically modulated pressure. Growth is described from the continuity equation with a source of supercritical nuclei. The solution is matched in an asymptotically smooth manner with the solution of the time-dependent Fokker-Planck equation describing nucleation. It is shown that as a function of the driving frequency the time-dependent flux of nuclei undergoes a characteristic transition. The transition marks the abrupt breakaway from the adiabatic regime. An exactly solvable model of nucleation and growth is introduced which confirms the asymptotic analysis.
AB - We consider the nucleation and growth of cavities in a metastable viscous liquid with a periodically modulated pressure. Growth is described from the continuity equation with a source of supercritical nuclei. The solution is matched in an asymptotically smooth manner with the solution of the time-dependent Fokker-Planck equation describing nucleation. It is shown that as a function of the driving frequency the time-dependent flux of nuclei undergoes a characteristic transition. The transition marks the abrupt breakaway from the adiabatic regime. An exactly solvable model of nucleation and growth is introduced which confirms the asymptotic analysis.
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U2 - 10.1103/PhysRevE.49.641
DO - 10.1103/PhysRevE.49.641
M3 - Article
AN - SCOPUS:6444220358
VL - 49
SP - 641
EP - 648
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 1
ER -