Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation

<div>Variation of the real time versus the simulated time <svg height="11.1095pt" id="M149" style="vertical-align:-3.29568pt" version="1.1" viewbox="-0.0498162 -7.81382 23.7344 11.1095" width="23.7344pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z" id="g113-117"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="341" vert-adv-y="341" xpluscharwidth="4.433"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,4.368,3.132)"><path d="M871 0V33C783 41 780 45 777 152L768 506C765 610 771 609 860 617V650H683L453 157L228 650H59V617C150 609 154 606 146 481L132 275C124 170 117 125 112 93C105 50 84 39 27 34V0H267V34C200 39 176 48 173 93C170 130 171 172 176 256L190 540H192L414 8H438L682 554H685L689 152C689 45 686 41 604 33V0H871Z" id="g58-75"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="902" vert-adv-y="902" xpluscharwidth="12.576172940000001"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,12.521,3.132)"><path d="M618 181C565 77 513 26 413 26C264 26 151 150 151 336C151 486 240 625 407 625C516 625 573 582 600 475L634 483C627 540 622 581 613 638C585 643 518 665 435 665C211 665 46 526 46 315C46 158 157 -15 406 -15C480 -15 564 4 594 12C612 43 638 121 651 168L618 181Z" id="g58-65"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="673" vert-adv-y="673" xpluscharwidth="18.64527981"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,18.646,3.132)"><path d="M416 501L399 642C356 655 314 665 271 665C140 665 63 582 63 486C63 372 163 325 229 290C304 250 359 217 359 142C359 70 316 25 240 25C138 25 94 125 78 186L44 178C52 123 64 45 72 21C81 16 96 8 121 0S179 -15 220 -15C353 -15 445 68 445 176C445 289 350 335 270 375C191 414 143 449 143 520C143 572 177 627 253 627C340 627 366 556 382 495L416 501Z" id="g58-81"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="484" vert-adv-y="484" xpluscharwidth="23.050385480000003"></glyph.data></g></svg> for various temperatures.</div>

Advances in Mathematical Physics

fig9

Figure 9

Figure 9: Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation 