History-Dependent Patterns in Randomly Perturbed Nematic Liquid Crystals

<table>Typical <svg height="15.0875" id="M202" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 31.362499 15.0875" width="31.362499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> profiles. ○: <i>random history</i>, ×: <i>homogeneous history</i>. <svg height="11.375" id="M203" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 50.724998 11.375" width="50.724998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="11.375" id="M204" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 44.974998 11.375" width="44.974998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="11.825" id="M205" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 51.0625 11.825" width="51.0625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.55)"><path d="M649 676l-22 -187l-33 -2q3 56 -12 94q-8 20 -31.5 26.5t-86.5 6.5h-74l-90 -491q-4 -23 -6 -36.5t1 -25t7 -16.5t18 -9t27 -5t41 -3l-6 -28h-286l4 28q68 5 84 18.5t28 76.5l94 491h-55q-74 0 -100.5 -6t-41.5 -23q-24 -29 -54 -98l-32 1q32 98 53 188h22q7 -18 15 -22
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</svg>, <svg height="11.375" id="M206" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 50.549999 11.375" width="50.549999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>. </table>

Advances in Condensed Matter Physics

fig6

Figure 6

Figure 6: History-Dependent Patterns in Randomly Perturbed Nematic Liquid Crystals 