Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling

Corrector Estimates for Elliptic Systems with Random Periodic Coefficients

We consider an elliptic system of equations on the torus [ −L2 , L 2 )d with random coefficients A, that are assumed to be coercive and stationary. Using two different approaches we obtain moment bounds on the gradient of the corrector, independent of the domain size L. In the first approach we use Green function representation. For that we require A to be locally Hölder continuous and distribu...

N-chain Hubbard model in weak coupling

We present a systematic weak-coupling renormalization group ~RG! technique for studying a collection of N coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For N52,3, we recover previous results, and find that also more generally broad regions of the phase space of these models are unstable to pairing, usually with approximate d-wave symmetr...

Predictor-Corrector Methods for Dynamically Coupling Multiscale Simulation Codes

Applications in materials, medicine, and computers are being discovered where the control of events at the molecular and nanoscopic scales is critical to product quality, while the primary manipulation of these events during processing occurs at macroscopic length scales. In such applications, one of the most significant engineering challenges is to achieve control over phenomena that occur sim...

Weak coupling limits in a stochastic model of heat conduction

Two-chamber lattice model for thermodiffusion in polymer solutions

When a temperature gradient is applied to a polymer solution, the polymer typically migrates to the colder regions of the fluid as a result of thermal diffusion ~Soret effect!. However, in recent thermodiffusion experiments on poly~ethylene-oxide! ~PEO! in a mixed ethanol/water solvent it is observed that for some solvent compositions the polymer migrates to the cold side, while for other compo...