Turing patterns modulation by chemical gradient in isothermal and non-isothermal conditions

Area of Science:

• Chemical kinetics
• Pattern formation
• Non-equilibrium thermodynamics

Background:

• Turing patterns are essential for understanding pattern formation in chemical and biological systems.
• Modulating these patterns is crucial for controlling chemical reactions and system behavior.
• Dirichlet boundary conditions offer a method to influence pattern dynamics within confined systems.

Purpose of the Study:

• To investigate how Dirichlet boundary conditions modulate Turing patterns in a Brusselator-like model.
• To analyze the morphological characteristics and state transitions of these patterns.
• To explore the emergence of spatial symmetry breaking and multiple pattern formations.

Main Methods:

• Utilized isothermal and non-isothermal Brusselator-like models in a small-size domain reactor.
• Employed Minkowski functional and entropy production rate to characterize pattern morphology.
• Defined boundary conditions around equilibrium points of a homogeneous dynamical system.

Main Results:

• Demonstrated that boundary conditions can induce spatial symmetry breaking in Turing patterns.
• Observed the emergence of two distinct Turing patterns under specific imposed chemical gradients.
• Showcased transitions between spatial states driven by boundary conditions.

Conclusions:

• Dirichlet boundary conditions are effective in controlling and diversifying Turing pattern formation.
• The study provides insights into manipulating chemical dynamics through boundary control.
• Findings contribute to the understanding of pattern emergence in confined reactive systems.