# Random walk in an eddy and nanotube self-assembly

## Related Articles

- Drift in a random walk along self-similar clusters. Arkhincheev, V. E. // Journal of Experimental & Theoretical Physics;Mar99, Vol. 88 Issue 3, p561
This paper is a study of the relationship between diffusion and conductivity when the random walks of particles occur via Lï¿½vy hops. It shows that because of the unusual nature of Lï¿½vy hops the particle mobility is a nonlinear function of the electric field in arbitrarily weak fields....

- DYNAMICS OF A THREE-DIMENSIONAL INEXTENSIBLE CHAIN. FERRARI, FRANCO; PATUREJ, JAROSŁAW; VILGIS, THOMAS A. // Acta Physica Polonica B;2009, Vol. 40 Issue 5, p1369
In the first part of this work the classical and statistical aspects of the dynamics of an inextensible chain in three dimensions are investigated. In the second part the special case of a chain admitting only fixed angles with respect to the z-axis is studied using a path integral approach. It...

- Concentration fluctuations in reaction kinetics. Zumofen, G.; Blumen, A.; Klafter, J. // Journal of Chemical Physics;4/1/1985, Vol. 82 Issue 7, p3198
We study the kinetics of the A+A â†’ P and the A+B â†’ P diffusion-limited reactions by modeling the dynamics through random walks on regular and on fractal lattices. For the pseudounimolecular reactions A(0)â‰ªB(0) we present exact analytical expressions for the target (DA=0) and...

- Analysis of the two-particle controlled interacting quantum walks. Li, Dan; Zhang, Jie; Ma, Xiu-Wen; Zhang, Wei-Wei; Wen, Qiao-Yan // Quantum Information Processing;Jun2013, Vol. 12 Issue 6, p2167
We have recently proposed the two-particle controlled interacting quantum walks for building quantum Hash schemes (Li et al. Quantum Inf Proc, . doi:). In this paper, we adopt the mutual information, the measurement-induced disturbance and the quantum mutual information to measure the classical...

- Random walk of annihilating particles on the ring. Grigoriev, S. Yu.; Priezzhev, V. B. // Theoretical & Mathematical Physics;Mar2006, Vol. 146 Issue 3, p411
We obtain the formula for the transition probability of an arbitrary number of annihilating particles wandering along a ring-shaped one-dimensional lattice from the initial coordinates to the final coordinates during an arbitrary number of discrete time steps.

- Two-particle random walk simulation of outer-sphere nuclear relaxation. Fries, Pascal H. // Journal of Chemical Physics;6/14/2010, Vol. 132 Issue 22, p224103
We present a two-particle Monte Carlo method for computing the outer-sphere (OS) dipolar time correlation function (DTCF) of the relative position of a nuclear spin I on a diamagnetic molecule MI with respect to a nuclear or electronic spin S on a molecule MS when both molecules are anisotropic...

- DIFFUSION OF BROWNIAN PARTICLES AND LIOUVILLE FIELD THEORY. FERRARI, FRANCO; PATUREJ, JAROSŁAW // Acta Physica Polonica B;2009, Vol. 40 Issue 5, p1383
In this work we review a recently proposed transformation which is useful in order to simplify non-polynomial potential given in the form of an exponential. As an application, it is shown that the Liouville field theory may be mapped into a field theory with a polynomial interaction between two...

- FIRST PASSAGE TIME IN A SYSTEM WITH SUBDIFFUSIVE MEMBRANE. KOSZTOŁOWICZ, TADEUSZ; LEWANDOWSKA, KATARZYNA D. // Acta Physica Polonica B;2009, Vol. 40 Issue 5, p1437
We study the first passage time (FPT) of a particle passing through a subdiffusive membrane; the membrane separates the media where normal diffusion occurs. The transport inside the membrane is described by the subdiffusion equation with fractional time derivative. Outside the membrane the...

- Boundary conditions for the subdiffusion equation. Shkilev, V. // Journal of Experimental & Theoretical Physics;Apr2013, Vol. 116 Issue 4, p703
The boundary conditions for the subdiffusion equations are formulated using the continuous-time random walk model, as well as several versions of the random walk model on an irregular lattice. It is shown that the boundary conditions for the same equation in different models have different...