One Dimensional Asynchronous Cooperative Parrondo's Games

An analytical result and an algorithm are derived for the probability distribution of the one-dimensional cooperative Parrondo's games. We show that winning and the occurrence of the paradox depends on the number of players. Analytical results are compared to the results of the computer simulation and to the results based on the mean-field approach.Comment: 10 pages, 4 figures, submitted to Fluctuations and Noise Letter

Nonlinear elastic and electronic properties of Mo_6S_3I_6 nanowires

The properties of Mo_6S_3I_6 nanowires were investigated with ab initio calculations based on the density-functional theory. The molecules build weakly coupled one-dimensional chains with three sulfur atoms in the bridging planes between the Mo octahedra, each dressed with six iodines. Upon uniaxial strain along the wires, each bridging plane shows two energy minima, one in the ground state with the calculated Young modulus Y=82 GPa, and one in the stretched state with Y=94 GPa. Both values are at least four times smaller than the experimental values and the origin of the discrepancy remains a puzzle. The ideal tensile strength is about 8.4 GPa, the chains break in the Mo-Mo bonds within the octahedra and not in the S bridges. The charge-carrier conductivity is strongly anisotropic and the Mo_6S_3I_6 nanowires behave as quasi-one-dimensional conductors in the whole range of investigated strains. The conductivity is extremely sensitive to strain, making this material very suitable for stain gauges. Very clean nanowires with good contacts may be expected to behave as ballistic quantum wires over lengths of several $\mu$m. On the other hand, with high-impedance contacts they are good candidates for the observation of Luttinger liquid behaviour. The pronounced 1D nature of the Mo_6S_3I_6 nanowires makes them a uniquely versatile and user-friendly system for the investigation of 1D physics.Comment: 7 pages, 8 figures include

Cooperative Parrondo's Games on a Two-dimensional Lattice

Cooperative Parrondo's games on a regular two dimensional lattice are analyzed based on the computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the probabilites characterisitic of the "voter model", suggesting practical applications. As in the one-dimensional case, winning and the occurrence of the paradox depends on the number of players.Comment: Presented at the 3rd Int. Conference NEXT-SigmaPhi; Figures not include