Figure 1

Sketch of a phase diagram for a ferrimagnetic thin film. The phase diagram is symmetric with respect to the magnetic field $H$. First-order lines separate stripe, bubble, and homogeneous phases. The bubble phase is a low-density triangular lattice. Typical order parameter profiles illustrating the soft- and hard-wall regimes are also shown.Reuse & Permissions

Figure 2

Period adaptation of symmetric stripes under compressive strain by means of dislocation nucleation, climb, and stripe ejection for the direct quench $\alpha =0.34\to 0.08$. Configurations are at times $\tau =100$, 500, 900, 1300 (top panels, left to right), and $\tau =1700$, 2500, 2900, and 3300 (bottom panels, left to right), respectively. Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 3

(Color online) Sketch of two dislocations with opposite Burger’s vector, with the parallel and perpendicular distances between the dislocation cores shown.Reuse & Permissions

Figure 4

Ordering of an asymmetric stripe pattern under compressive strain after a quench $\alpha =0.34\to 0.08$ at constant field $H=0.08$. Left to right panels show configurations at times $\tau =1800$, 2000, 2200, and 4000, respectively. Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 5

Final configurations for symmetric stripe patterns under dilative strain by means of stepwise quenches, starting from a configuration at $\alpha =0.08$ that was quenched successively to $\alpha =0.10$, 0.12, 0.16, and 0.18 (left to right panels). Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 6

Time evolution of a symmetric chevron pattern melting after a quench $\alpha =0.16\to 0.18$. Configurations for times $\tau =400$, 800, 1600, 5000 (top panels, left to right) and $\tau =9000$, 19 000, 33 000, 47 000 (bottom panels, left to right) are shown. Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 7

Time evolution of an asymmetric chevron pattern at constant field $H=0.10$ melting after a quench $\alpha =0.14\to 0.16$. Configurations for times $\tau =0$, 2500, 4500 (top panels), 13 000, 25 000, 37 000 (bottom panels) are shown. Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 8

Top panels: time evolution of the soft-wall $(\alpha =0.34)$ “stripe-out” instability as $H=0.20\to 0.0$. Configurations at $\tau =0$, 200, 250, 300, 350, and 1000 are shown. Bottom panels: time evolution for the reverse transition $(H=0.0\to 0.2)$ at $\tau =1000$, 1200, and 3000. Note the presence of the peristaltic modes. Square lattice of size ${256}^2$.Reuse & Permissions

Figure 9

Time evolution of a hard-wall stripe pattern quenched from $H=0.0\to 0.25$ at constant $\alpha$. This figure illustrates again the dislocation climb and ejection as the mechanism for period adjustment. Configurations at time $\tau =300$, 2200, 4500, and 13 000 are shown. Rectangular lattice of size ${512}^2$.Reuse & Permissions

Figure 10

Final configurations obtained after stepwise quenches in $H$ at constant $\alpha =0.08$. Top panels at $H=0.15\to 0.0\to -0.15\to -0.22$. Bottom panel shows the reverse quenches $H=-0.22\to 0.0\to 0.15$. Interestingly, the intermediate step $H=-0.22\to -0.15$ (not shown) produces a disordered bubble lattice. Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 11

Final patterns as obtained by means of temperature-induced dilative strain on initial triangular lattices at different values of $H$, with $\alpha$ increased from left-to-right in either a stepwise $\left[S\right]$ or direct $\left[D\right]$ quench. All the configurations in the $\left[D\right]$ quenches are obtained througth a direct quench starting from the left-most $\alpha =0.08$ configuration. The $\left[S\right]$ configurations are obtained from the closest configuration to the left that presents an ordered array of domains. This generally means the configuration immediately to the left, except for the following exceptions: $H=0.15$ and $H=-0.15$, the configurations for $\alpha =0.20$ are the initial configurations for $\alpha =0.26$, 0.30, and 0.34; $H=0.0$, the configuration for $\alpha =0.26$ is the initial configuration for $\alpha =0.30$ and 0.34. All configurations are effectively frozen, except those marked in grey that are evolving slowly. For ease of visualization, the configurations have been cut to show only one-fourth of the simulation cell, of size ${256}^2$.Reuse & Permissions

Figure 12

(Color online) Final patterns as obtained by means of temperature-induced dilative strain on initial triangular lattices of majority domains under random noise. Direct and stepwise trajectories seem to produce the same final configurations. Black configurations are effectively frozen while grey configurations are evolving slowly. For ease of visualization, the configurations have been cut to show only one-fourth of the simulation cell, of size ${256}^2$.Reuse & Permissions

Figure 13

Top two rows show the time evolution of domains undergoing a stepwise quench $\alpha =0.08\to 0.12$ without noise. First row: domains in the minority phase $(H=0.25)$ at times $\tau =400$, 700, 1000, and 1800. Second row: domains in the majority phase $(H=0.0)$ at times $\tau =0$, 1800, 2000, and 4000. The third row shows the time evolution of majority domains $(H=-0.15)$ under a direct quench $\alpha =0.08\to 0.15$ with noise. Times shown are $\tau =1400$, 2150, 2900, and 4900. Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 14

Time evolution for a Y-shape lattice of majority domains $(H=0.0)$ for a dilative quench $\alpha =0.26\to 0.30$. Times shown are $\tau =800$, 1200, 1400, 2200 (first row) and $\tau =5500$, 6500, 16 000, and 26 000 (second row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 15

Time evolution for two direct quenches of initial minority bubbles at $H=0.25$. Top row: direct quench $\alpha =0.08\to 0.20$. Times shown are $\tau =10$, 30, 40, 100. Bottom rows: direct quench $\alpha =0.08\to 0.34$. Times shown are $\tau =10$, 30, 60, and 80 (second row) and $\tau =100$, 600, 900, and 1400 (third row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 16

Time evolution for the direct quench $\alpha =0.08\to 0.26$ at $H=0.15$. Times shown are $\tau =100$, 3400, 4200, and 4600 (top row) and $\tau =7000$, 11 000, 13 000, and 29 000 (bottom row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 17

Time evolution for two direct quenches of initial minority bubbles at $H=0.0$. Top row: direct quench $\alpha =0.08\to 0.26$. Times shown are $\tau =100$, 4000, 12 000, and 32 000. Bottom rows: direct quench $\alpha =0.08\to 0.30$. Times shown are $\tau =10$, 20, 30, and 100 (second row) and $\tau =200$, 300, 500, and 3500 (third row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 18

Time evolution for the direct quench $\alpha =0.08\to 0.26$ at $H=-0.15$. Times shown are $\tau =250$, 500, 550, and 600 (top row) and $\tau =1100$, 5300, 6100, and 17 700 (bottom row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 19

Time evolution for two direct quenches of domains at $H=-0.15$. Top row: direct quench $\alpha =0.08\to 0.34$. Times shown are $\tau =100$, 500, 700, and 2200. Bottom rows: direct quench $\alpha =0.20\to 0.34$ (initial lattice of rings). Times shown are $\tau =50$, 100, 250, and 350 (top row) and $\tau =500$, 2500, 3100, and 17 500 (bottom row). Rectangular lattice of size ${256}^2$.Reuse & Permissions

Figure 20

Final configurations for different stepwise field quenches, where each configuration on the left represents the initial configuration for the next panel on the right. All the configurations are for $\alpha =0.20$. First row: field values are $H=0.25$, 0.0, $-0.15$, $-0.25$, and $-0.30$. Second and third row: field values are $H=-0.15$, 0.0, 0.15, 0.25, and 0.30. For ease of visualization, the configurations have been cut to show only one-fourth of the simulation cell, of size ${256}^2$.Reuse & Permissions