Tropisms of the Dowser Texture.

Area of Science:

• Materials Science
• Condensed Matter Physics
• Soft Matter Physics

Background:

• The dowser texture exhibits C2v symmetry, leading to its characterization by a 2D unitary vector or complex field.
• This symmetry makes the texture susceptible to perturbations like thickness gradients, electric fields, and flows.

Purpose of the Study:

• To investigate the sensitivity of the dowser texture to external perturbations.
• To explore the phenomena of cuneitropism, electrotropism, and rheotropism.
• To demonstrate the manipulation of topological defects (dowsons or monopoles) using these tropisms.

Main Methods:

• Characterization of the dowser texture using 2D unitary vector and complex fields.
• Analysis of the texture's response to thickness gradients, electric fields, and flows.
• Experimental or theoretical investigation of dowsons/monopoles manipulation.

Main Results:

• The dowser texture's properties are directly linked to its C2v symmetry.
• Sensitivity to thickness gradients (cuneitropism), electric fields (electrotropism), and flows (rheotropism) is confirmed.
• Topological defects (dowsons/monopoles) can be controlled through induced tropisms.

Conclusions:

• The C2v symmetry of the dowser texture is key to its responsive behavior.
• Cuneitropism, electrotropism, and rheotropism provide mechanisms for external control.
• Dowsons and monopoles can be actively manipulated via these tropisms, opening avenues for novel applications.