49 citations · 79 across the 6 of their papers we have counts for
6 papers
Return distributions in dog-flea model revisited
Burhan Bakar, Ugur Tirnakli
A recent study of coherent noise model for the system size independent case provides an exact relation between the exponent of avalanche size distribution and the value of…
Analysis of self-organized criticality in Ehrenfest's dog-flea model
Burhan Bakar, Ugur Tirnakli
The self-organized criticality in Ehrenfest's historical dog-flea model is analyzed by simulating the underlying stochastic process. The fluctuations around the thermal equilibrium…
Convergence dynamics of 2-dimensional isotropic and anisotropic Bak-Sneppen models
Burhan Bakar, Ugur Tirnakli
The conventional Hamming distance measurement captures only the short-time dynamics of the displacement between the uncorrelated random configurations. The minimum difference techn…
Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models
Burhan Bakar, Ugur Tirnakli
We implement the damage spreading technique on 2-dimensional isotropic and anisotropic Bak-Sneppen models. Our extensive numerical simulations show that there exists a power-law se…
Probability assignment in a quantum statistical model
L. F. Lemmens, Burhan Bakar
The evolution of a quantum system, appropriate to describe nano-magnets, can be mapped on a Markov process, continuous in . The mapping implies a probability assignment that can…
Blocking temperature in magnetic nano-clusters
Burhan Bakar, L. F. Lemmens
A recent study of nonextensive phase transitions in nuclei and nuclear clusters needs a probability model compatible with the appropriate Hamiltonian. For magnetic molecules a repr…