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Patterns

Hereby some results can be found from the 2D discrete patterning code, as a developement of the old SCPM model.

Parameters

The simulations shared the following parameters:

Differences were in the following parameters

The following parameter-sets are used:

  D A cellsize
sim 0.2 0.2 2
sim 0.4 0.4 2
sim 0.6 0.6 2
sim 0.4 0.4 4

 

Stress-strain curves (click to open and to collapse)

For 3 different realisations in each parameter-sets the stress-strain curves are plotted.

Field quantities

Quantities at different gamma values are plotted. These gamma values are preselected and can be modified at any time: 0.3, 1.5, 4.6, 15 (and sometimes 31).

Kappa

Individual kappa maps (click to open and to collapse)

At different gamma values, kappa(r) fields (called maps) for one realisation are plotted for each paramter-sets.

D = 0.2; A = 0.2, cell size = 2

D = 0.4; A = 0.4, cell size = 2
D = 0.6; A = 0.6, cell size = 2
D = 0.4; A = 0.4, cell size = 4

 

kappa frequencies (click to open and to collapse)

Each kappa map is fourier transformed, and the absolute value of the complex amplitudes (k_x,k_y) are averaged over 100 simulations. Due to the fact that the kappa maps represent real numbers, the |A| has the following symmetry: |A(k_x,k_y)| = |A(-k_x,-k_y)|. Therefore only one (the upper) half of the amplitude maps are calculated. Statistically a left-right symmtery should be found.

D = 0.2; A = 0.2, cell size = 2

D = 0.4; A = 0.4, cell size = 2

 

 

D = 0.6; A = 0.6, cell size = 2

 

 

D = 0.4; A = 0.4, cell size = 4

Rho

Individual rho maps (click to open and to collapse)

At different gamma values, rho(r) fields (called maps) for one realisation are plotted for each paramter-sets.

D = 0.2; A = 0.2, cell size = 2

D = 0.4; A = 0.4, cell size = 2
D = 0.6; A = 0.6, cell size = 2
D = 0.4; A = 0.4, cell size = 4

 

rho frequencies (click to open and to collapse)

Each rho - rho_average map is fourier transformed (the average has to be substracted in order to avoid the extrem peak at (0,0)), and the absolute value of the complex amplitudes (k_x,k_y) are averaged over 100 simulations. Due to the fact that the kappa maps represent real numbers, the |A| has the following symmetry: |A(k_x,k_y)| = |A(-k_x,-k_y)|. Therefore only one (the upper) half of the amplitude maps are calculated. Statistically a left-right symmtery should be found.

D = 0.2; A = 0.2, cell size = 2

D = 0.4; A = 0.4, cell size = 2

 

D = 0.6; A = 0.6, cell size = 2

 

 

D = 0.4; A = 0.4, cell size = 4