منابع مشابه
String Matching and 1d Lattice Gases
We calculate the probability distributions for the number of occurrences n of of a given l letter word in a random string of k letters. We consider the case in which the letters of the strings belong to an r letter alphabet. Analytical expressions for the distribution are known for the asymptotic regimes (i) k ≫ r ≫ 1 (Gaussian) and k, l → ∞ such that k/r is finite (Compound Poisson). However, ...
متن کاملLattice gases and cellular automata
We review the class of cellular automata known as lattice gases, and their applications to problems in physics and materials science. The presentation is selfcontained, and assumes very little prior knowledge of the subject. Hydrodynamic lattice gases are emphasized, and non-lattice-gas cellular automata – even those with physical applications – are not treated at all. We begin with a review of...
متن کاملInteger Lattice Gases
We generalize the hydrodynamic lattice gas model to include arbitrary numbers of particles moving in each lattice direction. For this generalization we derive the equilibrium distribution function and the hydrodynamic equations, including the equation of state and the prefactor of the inertial term that arises from the breaking of galilean invariance in these models. We show that this prefactor...
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This thesis has been motivated by intracellular transport phenomena, such as kinesins and myosins moving along cytoskeletal filaments or ribosomes along messenger RNA. In both cases molecular motors move uni-directionally along a one-dimensional track. This motion is driven by the free energy released in the chemical hydrolysis reaction of ATP (adenosine-triphosphate). It drives conformational ...
متن کاملHigh-dimensional lattice gases
We investigate the critical behaviour of hard-core lattice gases in four, five and six dimensions by means of Monte Carlo simulations. In order to suppress critical slowing down, we use a geometrical cluster Monte Carlo algorithm. In particular, nearest-neighbour-exclusion lattice gases on simple hypercubic lattices are investigated. These models undergo Ising-like ordering transitions where th...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9247-z