In this paper, we introduce a novel integration method of Kardar–Parisi–Zhang (KPZ)
equation. It is known that if during the discrete integration of the KPZ equation the nearest-neighbor …

… Hansmann and RC Buceta, A stochastic model for directional changes of swimming bacteria,
Soft Matter, 2017, 13, 3385–3394.] a single stochastic model for the deflection x(t) of an E. …

We report the generalized spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation
in 1+ 1 dimensions. We solve exactly the steady state probability density function for the …

The competitive growth models (CGM) involving only one kind of particles, are a mixture of
two processes, one with probability p and the other with probability 1− p. The p dependance …

We present an analytical continuous equation for the Tang and Leschhorn model [Phys. Rev.
A 45, R8309 (1992)] derived from their microscopic rules using a regularization procedure. …

… introduced by Buceta and Hansmann [10]. In contrast to Vvedensky's approach, it employs
the transition moments as generalized functions, without further regularization. Buceta and …

The Barkhausen jumps or avalanches in magnetic domain-walls motion between successive
pinned configurations, due the competition among magnetic external driving force and …

In this work we introduce a stochastic model to describe directional changes in the movement
of swimming bacteria. We use the probability density function (PDF) of turn angles, …

Discrete and continuous models belonging to a universality class share the same linearities
and (or) nonlinearities. In this work, we propose a new approach to calculate coarse-grained …

A macroscopic evolution equation for the roughness is presented for a growing interface in
quenched disorder media for the Tang and Leschhorn model [Phys. Rev. A 45, R8309 (1992)]…