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- Tsutomu Indei, Jay D. Schieber, Andrés Córdoba, Ekaterina Pilyugina
- Physical review. E, Statistical, nonlinear, and…
- 2012

The dynamic modulus G(*) of a viscoelastic medium is often measured by following the trajectory of a small bead subject to Brownian motion in a method called "passive microbead rheology." This equivalence between the positional autocorrelation function of the tracer bead and G(*) is assumed via the generalized Stokes-Einstein relation (GSER). However,… (More)

We consider four criteria of acceptability for single-chain mean-field entangled polymer models: consistency with a multi-chain level of description, consistency with nonequilibrium thermodynamics, consistency with the stress-optic rule, and self-consistency between Green–Kubo predictions and linear viscoelastic predictions for infinitesimally driven… (More)

- Tsutomu Indei, Jay D. Schieber, Andrés Córdoba
- Physical review. E, Statistical, nonlinear, and…
- 2012

We analyze the appropriate form for the generalized Stokes-Einstein relation (GSER) for viscoelastic solids and fluids when bead inertia and medium inertia are taken into account, which we call the inertial GSER. It was previously shown for Maxwell fluids that the Basset (or Boussinesq) force arising from medium inertia can act purely dissipatively at high… (More)

- M Nazmul Karim, Tsutomu Indei, Jay D. Schieber, Rajesh Khare
- Physical review. E
- 2016

Particle rheology is used to extract the linear viscoelastic properties of an entangled polymer melt from molecular dynamics simulations. The motion of a stiff, approximately spherical particle is tracked in both passive and active modes. We demonstrate that the dynamic modulus of the melt can be extracted under certain limitations using this technique. As… (More)

- Andrés Córdoba, Jay D. Schieber, Tsutomu Indei
- Soft matter
- 2015

After relaxing some assumptions we apply a single-chain mean-field mathematical model recently introduced [RSC Adv. (2014)] to describe the role of molecular motors in the mechanical properties of active gels. The model allows physics that are not available in models postulated on coarser levels of description. Moreover it proposes a level of description… (More)

- M Nazmul Karim, Swapnil C. Kohale, Tsutomu Indei, Jay D. Schieber, Rajesh Khare
- Physical review. E, Statistical, nonlinear, and…
- 2012

We present a technique for the determination of viscoelastic properties of a medium by tracking the motion of an embedded probe particle by using molecular dynamics simulations. The approach involves the analysis of the simulated particle motion by continuum theory; it is shown to work in both passive and active modes. We demonstrate that, for passive… (More)

- Hualong Feng, Andrés Córdoba, +4 authors Jay D. Schieber
- 2014

In this paper, we develop a boundary integral method (BIM) for interacting particles in unsteady Stokes flow or linear viscoelastic (LVE) flow. The idea is to exploit a correspondence principle between them so a BIM can be established in the Fourier domain. Since the unsteady Stokes equation in the frequency domain is analogous to Brinkman equation in the… (More)

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