In this chapter, we modify the spatial, temporal, and order parameter scales. Consequently, we transition to equations expressed in dimensionless coordinates and dimensionless dependent variables. Additionally, we significantly reduce the number of control parameters, which are also rendered dimensionless. In this format, we discuss the equations of state and motion throughout the book. This constitutes the final preparatory technical section before introducing the original context.

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Rescaling of Equations Describing the Process Zone

  • Alexei Boulbitch,
  • Alexander Korzhenevskii

摘要

In this chapter, we modify the spatial, temporal, and order parameter scales. Consequently, we transition to equations expressed in dimensionless coordinates and dimensionless dependent variables. Additionally, we significantly reduce the number of control parameters, which are also rendered dimensionless. In this format, we discuss the equations of state and motion throughout the book. This constitutes the final preparatory technical section before introducing the original context.