Driven Brownian coagulation of polymers.

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Replica Symmetry Breaking in Trajectories of a Driven Brownian Particle.

We study a Brownian particle passively driven by a field obeying the noisy Burgers' equation. We demonstrate that the system exhibits replica symmetry breaking in the path ensemble with the initial position of the particle being fixed. The key step of the proof is that the path ensemble with a modified boundary condition can be exactly mapped onto the canonical ensemble of directed polymers.

A Brownian Dynamics Study of Crossover Scaling in Semidilute Polymer Solutions

Understanding the dynamics of polymer solutions in the semidilute regime is important not only from the point of view of advancing fundamental knowledge in polymer science but also from the point of view of technological applications. The behavior of semidilute polymer solutions varies significantly with concentration and solvent quality, which are reflected in the concentration driven crossove...

Dynamic density functional study of a driven colloidal particle in polymer solutions.

The dynamic density functional (DDF) theory and standard Brownian dynamics simulations (BDS) are used to study the drifting effects of a colloidal particle in a polymer solution, both for ideal and interacting polymers. The structure of the stationary density distributions and the total induced current are analyzed for different drifting rates. We find good agreement with the BDS, which gives s...

Energy dissipation of a Brownian particle in a viscoelastic fluid.

We evaluate the energy dissipation rate of an optically driven Brownian particle in a polymer solution utilizing the generalized version of Harada and Sasa's equality [Phys. Rev. Lett. 95, 130602 (2005)] by Deutsch and Narayan [Phys. Rev. E 74, 026112 (2006)]. The irreversible work of a small system is estimated from readily obtainable quantities. By adopting the time-dependent memory function ...