A Note on the Ballistic Limit of Random Motion in a Random Potential
نویسنده
چکیده
It has been shown that certain types of random walks in random potentials and Brownian motion in Poissonian potentials undergo a phase transition from sub-ballistic to ballistic behavior when the strength of the underlying drift is increased. The ballistic behavior has been manifested by indicating a limiting area for the normalized motion. In the present article, we provide a refined description of this limiting area with a further development for the case of rotation invariant Poissonian potentials.
منابع مشابه
Random deposition model with friction: Equivalent to ballistic deposition without lateral growth
The Random Deposition model is the simplest model for surface growth, where there is no correlation between the neighbor sites of the lattice. In the Ballistic deposition model, the particles stick to the first neighbor particle; thus it is used to describe the deposition of the sticky particles. However, in many true-life phenomena involving surface growth, there is no adhesion. Instead, the f...
متن کاملEstimation of Hydrodynamic Force on Rough Circular Cylinders in Random Waves and Currents (RESEARCH NOTE)
Most of the Codes of Practice (API, BSI, DnV, NPD) uses Morison's equation to estimate hydrodynamic loads on fixed and moving offshore structures. The significant difference in the prediction of the loads mainly arises from the assumption of the values of hydrodynamic coefficients. In this paper by analysing a full scale set of data in large KC's numbers collected from Delta Wave Flume in the N...
متن کاملDiffusive-ballistic crossover in 1D quantum walks.
We show that particle transport, as characterized by the equilibrium mean square displacement, in a uniform, quantum multibaker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed times, the semiclassical limit leads to diffusion. Random matrix theory provides explicit analytical predictions for the mean square displacement of a par...
متن کاملBallistic Performance of Hybrid Armor with Ceramic Inserts and Polymeric Matrix for Different Threat Levels (TECHNICAL NOTE)
Ceramic materials due to their high compressive strength and hardness have been one of prime candidates in armor design in particular when high level threads (impact velocity above 600m/s) are involved. The aim of this work is to investigate ballistic impact resistance potential for a target plate with novel ceramic inserts as against ceramic tiles. Two size 98% alumina (AL2O3) base ceramic i...
متن کاملBallistic Phase of Self-Interacting Random Walks
We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the OrnsteinZernike theory developed in Campanino et al. (2003, 2004, 2007). It leads to local limit results for various observables (e.g., displacement of the en...
متن کامل