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20032013
most citedContinuous growth models in terms of generalized logarithm and exponential functions

55 citations

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5 papers · 1 filter

cond-mat.stat-mech201218 cited

Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach

Jacyana S. M. Fonseca, Leandro G. Rizzi, Nelson A. Alves

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase…

cond-mat.stat-mech201224 cited

Generalized Metropolis dynamics with a generalized master equation: An approach for time-independent and time-dependent Monte Carlo simulations of generalized spin systems

Roberto da Silva, Jose Roberto Drugowich de Felicio, Alexandre Souto Martinez

The extension of Boltzmann-Gibbs thermostatistics, proposed by Tsallis, introduces an additional parameter to the inverse temperature . Here, we show that a previously intro…

cond-mat.stat-mech200820 cited

The influence of memory in deterministic walks in random media: analytical calculation within a mean field approximation

Cesar Augusto Sangaletti Tercariol, Alexandre Souto Martinez

Consider a random medium consisting of points randomly distributed so that there is no correlation among the distances. This is the random link model, which is the high dimensional…

cond-mat.stat-mech200728 cited

Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators

Tiago Jose Arruda, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol +1

One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the…

cond-mat.stat-mech200518 cited

An alternative order parameter for the 4-state Potts model

H. A. Fernandes, E. Arashiro, A. A. Caparica +1

We have investigated the dynamic critical behavior of the two-dimensional 4-state Potts model using an alternative order parameter first used by Vanderzande [J. Phys. A: Math. Gen.…