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Table 3 Relationship between the Diffusion Coefficient of the SARA Components and System Temperatures

From: Atomistic-scale investigation of self-healing mechanism in Nano-silica modified asphalt through molecular dynamics simulation

Models

Fraction

Fitting formula of lnD and 1/T

R2

VA

Asphaltene

lnD = − 4804.50/T-2.764

0.9749

Resin

lnD = − 4761.81/T-2.156

0.9635

Aromaitc

lnD = − 4947.99/T-1.727

0.9804

Saturate

lnD = − 5083.78/T-1.234

0.9090

VA-6.5

Asphaltene

lnD = − 4354.71/T-4.451

0.9585

Resin

lnD = − 4451.96/T-3.060

0.9870

Aromaitc

lnD = − 4585.19/T-2.874

0.9543

Saturate

lnD = − 4319.64/T-3.336

0.9825

VA-7.5

Asphaltene

lnD = − 4701.88/T-3.182

0.9613

Resin

lnD = − 4423.44/T-3.078

0.9762

Aromaitc

lnD = − 4932.21/T-1.900

0.9890

Saturate

lnD = − 4657.41/T-2.246

0.9868

LA

Asphaltene

lnD = − 4513.34/T-5.544

0.9856

Resin

lnD = − 4687.66/T-3.735

0.9493

Aromaitc

lnD = − 4496.13/T-4.473

0.9696

Saturate

lnD = − 5178.10/T-1.856

0.9552