We consider a kinetic model for a system of two species of particles interacting through a long range repulsive potential and a reservoir at given temperature. The model is described by a set of two coupled Vlasov-Fokker-Plank equations. The important front solution, which represents the phase boundary, is a one-dimensional stationary solution on the real line with given asymptotic values at in...

We consider self-propelled particles confined between two parallel plates, moving with a constant velocity while their direction changes by rotational diffusion. The probability distribution of such micro-organisms in environment is singular because accumulate at the boundaries. This leads us to distinguish densities bulk and They satisfy degenerate Fokker–Planck system we propose boundary cond...

It is not news that tone is a property of language that interacts with other parts of the linguistic system (e.g. Plank 1998 and references therein). This paper examines the distribution of tone languages from the perspective of areal typology, comparing the occurrence of different kinds of tone languages to the regions they are in, the families they belong to, and some of the more salient char...

Optimized Homonuclear Carr–Purcell-Type Dipolar Mixing Sequences Frank Kramer,∗ Wolfgang Peti,† Christian Griesinger,†,‡ and Steffen J. Glaser∗,1 ∗Institut für Organische Chemie und Biochemie II, Technische Universität München, Lichtenbergstrasse 4, D-85747 Garching, Germany; †Institut für Organische Chemie, J. W. Goethe-Universität Frankfurt, Marie-Curie-Strasse 11, D-60439 Frankfurt, Germany;...

We consider a kinetic model for a system of two species of particles interacting through a long range repulsive potential and a reservoir at given temperature. The model is described by a set of two coupled Vlasov-Fokker-Plank equations. The important front solution, which represents the phase transition, is a one-dimensional stationary solution on the real line with given asymptotic values at ...

We propose a stochastic model in evolutionary game theory where individuals (or subpopulations) can mutate changing their strategies randomly (but rarely) and explore the external environment. This environment affects the selective pressure by modifying the payoff arising from the interactions between strategies. We derive a Fokker-Plank integro-differential equation and provide Monte-Carlo sim...

Himan Mukhopadhyay, Norichika Sago,* Hideyuki Tagoshi, Sanjeev Dhurandhar, Hirotaka Takahashi, and Nobuyuki Kanda Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411007, India Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan Max-Plank-Institut für Gravitationsphysik, Albert-Einstein-Institu...