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The statistical mechanics of turbo codes
Turbo code disordered spin Hamiltonian signal to noise the probability the threshold
2015/8/21
The “turbo codes”, recently proposed by Berrou et. al. [1] are written as a disordered spin Hamiltonian. It is shown that there is a threshold Θ such that
for signal to noise ratios v 2/w2 > Θ the er...
Instability of one-step replica-symmetry-broken phase in satisfiability problems
Solutions random stability high energy density
2015/8/21
We reconsider the one-step replica-symmetry-breaking (1RSB) solutions of two random combina- torial problems: k-XORSAT and k-SAT. We present a general method for establishing the stability of these so...
A simple one dimensional glassy Kac model
Random rotation model sparse numerical analysis random
2015/8/21
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
Clusters of solutions and replica symmetry breaking in random k-satisfiability
Random formula decomposition quantity index
2015/8/21
We study the set of solutions of random k-satisfiability formulae through the cavity method. It is known that, for an interval of the clause-to-variables ratio, this decomposes into an exponenti...
A non-conservative kinetic exchange model of opinion dynamics with randomness and bounded confidence
non-conservative kinetic exchange model opinion dynamics randomness and bounded confidence Statistical Mechanics
2012/5/17
The concept of a bounded confidence level is incorporated in a nonconservative kinetic exchange model of opinion dynamics model where opinions have continuous values $\in [-1,1]$. The characteristics ...
We present a method to construct random model power grids that closely match statistical properties of a real power grid. The model grids are more difficult to partition than a real grid.
Interdependent binary choices under social influence: phase diagram for homogeneous unbiased populations
Interdependent binary choices social influence phase diagram homogeneous unbiased populations Statistical Mechanics
2012/4/20
Coupled Ising models are studied in a discrete choice theory framework, where they can be understood to represent interdependent choice making processes for homogeneous populations under social influe...
Inhomogeneity of the phase space of the damped harmonic oscillator under Levy noise
Inhomogeneity of the phase space damped harmonic oscillator Levy noise Statistical Mechanics
2012/4/19
The damped harmonic oscillator under symmetric L\'{e}vy white noise shows inhomogeneous phase space, which is in contrast to the homogeneous one of the same oscillator under the Gaussian white noise, ...
Large scale-free networks are not disassortative
Large scale-free networks disassortative Statistical Mechanics
2012/4/19
Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree correlations between neighbouring n...
Simulated bilayer from floppy to hole and topological fluctuations
Simulated bilayer hole topological fluctuations
2012/2/27
Simulations of a bilayer in a liquid solvent in the full range of areas from the floppy to the extended state also show the hole/tunnel spontaneous formation. Whether this change of topology is preced...
Finite-size left-passage probability in percolation
Finite-size left-passage probability percolation
2012/2/27
We obtain an exact finite-size expression for the probability that a percolation hull will touch the boundary, on a strip of finite width. Our calculation is based on the q-deformed Knizhnik--Zamolodc...
Phase diagram and universality of the Lennard-Jones gas-liquid system
Phase diagram universality Lennard-Jones gas-liquid system
2012/2/27
The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determine...
Spectral dimension of trees with a unique infinite spine
Spectral dimension trees unique infinite spine
2012/2/27
Using generating functions techniques we develop a relation between the Hausdorff and spectral dimension of trees with a unique infinite spine. Furthermore, it is shown that if the outgrowths along th...
Temporal disorder in up-down symmetric systems
Temporal disorder in up-down symmetric systems
2012/2/27
The effect of temporal disorder on systems with up-down Z2 symmetry is studied. In particular, we analyze two well-known families of phase transitions: the Ising and the generalized voter universality...
Manifestations of Dynamical Facilitation in Glassy Materials
Manifestations Dynamical Facilitation Glassy Materials
2012/2/27
By characterizing the dynamics of idealized lattice models with a tunable kinetic constraint, we explore the different ways in which dynamical facilitation manifests itself within the local dynamics o...