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<title>Molecular Dynamics Test of the Stress-Thermal Rule in Polyethylene and Polystyrene Entangled Melts</title>
<creator>Nieto Simavilla, David</creator>
<creator>Sgouros, Aristotelis P.</creator>
<creator>Vogiatzis, Georgios G.</creator>
<creator>Tzoumanekas, Christos</creator>
<creator>Georgilas, Vasilis</creator>
<creator>Verbeeten, Wilco M.H.</creator>
<creator>Theodorou, Doros N.</creator>
<subject>Stress</subject>
<subject>Thermal conductivity</subject>
<subject>Deformation</subject>
<subject>Magnetic properties Polyethylene</subject>
<description>Anisotropic thermal transport induced by deformation&#xd;
and the linear relation between the thermal conductivity and&#xd;
stress tensors, also known as the stress-thermal rule (STR), are&#xd;
tested via molecular dynamics simulations in well-entangled linear&#xd;
polyethylene (PE) and polystyrene (PS) melts subjected to&#xd;
extensional flow. We propose a method to determine the stress&#xd;
in deformed molecular melts, a key component missing in prior&#xd;
simulation studies on thermal transport in polymers that prevented&#xd;
verification of the STR. We compare our results with available data&#xd;
from previous experimental and simulation studies. Thermal&#xd;
conductivity (TC) is found to increase (decrease) in the direction&#xd;
parallel (perpendicular) to the imposed stretch. We find that the STR is valid for both PE and PS over a wide range of deformation&#xd;
rates and stress levels. In direct agreement with experimental evidence and the STR, we observe that for a given strain, the anisotropy&#xd;
in TC increases with the strain rate. Surprisingly, our results for PE question the universal behavior with respect to polymer&#xd;
chemistry suggested by experiments by showing a significantly higher proportionality constant (the stress-thermal coefficient)&#xd;
between stress and anisotropy in TC. We argue that this discrepancy can be explained by the high degree of entanglement&#xd;
interactions in PE affecting the transport of energy at the molecular level. Our conjecture is tested by studying an entangled linear PS&#xd;
melt, a polymer with a much lower entanglement plateau, for which thermal transport experimental results are available. For PS, the&#xd;
normalized stress-thermal coefficient is found to be commensurate with the experimental value. Finally, we test the fundamental&#xd;
molecular hypothesis of preferential energy transport along the backbone of polymer chains used to formulate the STR, which was&#xd;
prompted by early experimental evidence showing an increase in TC with chain length. We are able to establish that the increase in&#xd;
TC with chain length in PE melts fades as the system becomes entangled (i.e., TC remains constant beyond the critical&#xd;
entanglement chain length that marks the transition to entanglement-dominated rheological behavior). Our findings are of key&#xd;
importance in developing robust molecular-to-continuum methodologies for the study of nonisothermal macroscopic flows that are&#xd;
extremely relevant to polymer manufacturing processes.</description>
<date>2020-04-03</date>
<date>2020-04-03</date>
<date>2020-02</date>
<type>info:eu-repo/semantics/article</type>
<identifier>http://hdl.handle.net/10259/5254</identifier>
<language>eng</language>
<relation>Macromolecules. 2020, V. 53, p. 789-802</relation>
<relation>info:eu-repo/grantAgreement/EC/H2020/750985</relation>
<rights>http://creativecommons.org/licenses/by-nc-nd/4.0/</rights>
<rights>info:eu-repo/semantics/openAccess</rights>
<rights>Attribution-NonCommercial-NoDerivatives 4.0 Internacional</rights>
<publisher>American Chemical Society</publisher>
</thesis></metadata></record></GetRecord></OAI-PMH>