– The lattice Boltzmann equation can be viewed as a discretization of the continuous Boltzmann equation. Because of this connection it has long been speculated that lattice Boltzmann algorithms might obey an H-theorem. In this letter we prove that usual nine-velocity models do not obey an H-theorem but models that do obey an H-theorem can be constructed. We consider the general conditions a lat...

micro scale gas flows has attracted significant research interest in the last two decades. in this research, the fluid flow of gases in the stepped micro-channel at a wide range of knudsen number has been analyzed with using the lattice boltzmann (mrt) method. in the model, a modified second-order slip boundary condition and a bosanquet-type effective viscosity are used to consider the velocity...

In this paper, for the first time a theory is formulated that predicts velocity and spatial correlations between occupation numbers that occur in lattice gas automata violating semi-detailed balance. Starting from a coupled BBGKY hierarchy for the n-particle distribution functions , cluster expansion techniques are used to derive approximate kinetic equations. In zeroth approximation the standa...

In this paper, a new econophysics model based on a lattice Boltzmann automata is presented. This model represents economic agents (people, countries...) as particles of a gas moving on a 2D lattice and interacting with each other. Economic transactions are modeled by particle-to-particle interactions in which money is conserved. If only particular transactions are considered (free market), the ...

We investigate the dynamical behavior of binary fluid systems in two dimensions using dissipative particle dynamics. We find that following a symmetric quench the domain size R(t) grows with time t according to two distinct algebraic laws R(t) ∼ t: at early times n = 1 2 , while for later times n = 2 3 . Following an asymmetric quench we observe only n = 1 2 , and if momentum conservation is vi...

This work deals with a new methodology for the definition of volcanic susceptibly hazard maps through Cellular Automata and Genetic Algorithms. Specifically, the paper describes the proposed approach and presents the first results to the South­Eastern flank of Mt. Etna (Sicily, Italy). In particular, resulting hazard maps are characterized by a high degree of detail and allow for a punctual and...

The flow of fluids in complex geometries like porous media [1] plays an important role in a wide variety of technological and environmental processes including chromotography, oil recovery, the degradation of building materials and the spread of hazardous wastes in soils. The complexity of such flow processes makes their theoretical and experimental study a great challenge. Recent developments ...

We consider a general class of discrete unitary dynamical models on the lattice. We show that generically such models give rise to a wavefunction satisfying a Schrödinger equation in the continuum limit, in any number of dimensions. There is a simple mathematical relationship between the mass of the Schrödinger particle and the eigenvalues of a unitary matrix describing the local evolution of t...