Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Inertia on Linear Viscoelasticity of Harmonic Dumbbell Model   The overdamped (inertialess) dumbbell model is widely utilized to study
rheological properties of polymers or other soft matters. In most cases, the
effect of inertia is merely neglected because the momentum relaxation is much
faster than the bond relaxation. We theoretically analyze the effect of inertia
on the linear viscoelasticity of the harmonic dumbbell model. We show that the
momentum and bond relaxation modes are kinetically coupled and the inertia can
affect the bond relaxation if the momentum relaxation is not sufficiently fast.
We derive an overdamped Langevin equation for the dumbbell model, which
incorporates the weak inertia effect. Our model predicts the bond relaxation
dynamics with the weak inertia effect correctly. We discuss how the weak
inertia affects the linear viscoelasticity of a simple harmonic dumbbell model
and the Rouse model.

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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph