We study fluctuation effects in a two species reaction-diffusion system, with three competing reactions A + A → ∅, B + B → ∅, and A + B → ∅. Asymptotic density decay rates are calculated for d ≤ 2 using two separate methods the Smoluchowski approximation, and also field theoretic/renormalisation group (RG) techniques. Both approaches predict power law decays, with exponents which asymptotically...

We report molecular dynamics simulation results of high-ionic-strength electroosmotic flows inside uncharged nanochannels. The possibility of this unusual electrokinetic phenomenon has been discussed by Dukhin et al. [A. Dukhin, S. Dukhin, P. Goetz, Langmuir 21 (2005) 9990]. Our computed velocity profiles clearly indicate the presence of a net flow with a maximum velocity around 2 m/s. We found...

Title: Influence of demographic changes on the impact of vaccination against varicella and herpes zoster in Germany a mathematical modelling study Authors: Johannes Horn ([email protected]) Oliver Damm ([email protected]) Wolfgang Greiner ([email protected]) Hartmut Hengel ([email protected]) Mirjam Kretzschmar ([email protected]) Anne...

Liqun Liu ([email protected]) Susanne Breitner ([email protected]) Xiaochuan Pan ([email protected]) Ulrich Franck ([email protected]) Arne Marian Leitte ([email protected]) Alfred Wiedensohler ([email protected]) Stephanie von Klot ([email protected]) H.-Erich Wichmann ([email protected]) Annette Peters (peters@helmhol...

Modeling of small Helmholtz resonators based on electroacoustical analogies often results in significant disagreement with measurements, as existing models do not take into account some losses that are observed in practical implementations of such acoustical circuits, e.g., in photoacoustic Helmholtz cells. The paper presents a method which introduces loss corrections to the transmission line m...

We solve the Smoluchowski equation for steady state solutions of rigid nematic polymers and suspensions under imposed elongational flow, magnetic or electric fields, respectively. Under the three imposed fields, we show that (1) the Smoluchowski equation can be cast into a generic form, (2) the external field must parallel to one of the eigenvectors of the second moment tensor in steady states,...

•We introduce a simple, efficient, and general method for training directed latent variable models. – Can handle both discrete and continuous latent variables. – Easy to apply – requires no model-specific derivations. •Key idea: Train an auxiliary neural network to perform inference in the model of interest by optimizing the variational bound. – Was considered before for Helmholtz machines and ...

Stochastic reaction-diffusion models have become an important tool in studying how both noise in the chemical reaction process and the spatial movement of molecules influences the behavior of biological systems. There are two primary spatially-continuous models that have been used in recent studies: the diffusion limited reaction model of Smoluchowski, and a second approach popularized by Doi. ...

In this paper, we apply the thermodynamic framework recently put into place by Rajagopal and co-workers, to develop rate-type models for viscoelastic fluids which do not possess instantaneous elasticity. To illustrate the capabilities of such models we make a specific choice for the specific Helmholtz potential and the rate of dissipation and consider the creep and stress relaxation response as...