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Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
(American Physical Society, 2013-02-04)
We use a macroscopic description of a system of relativistic particles based on adding a nonequilibrium tensor to the usual hydrodynamic variables. The nonequilibrium tensor is linked to relativistic kinetic theory through ...
Additional constraints in adsorption-desorption kinetics
(American Physical Society, 2009-02)
In this work, the adsorption-desorption kinetic in the framework of the lattice gas model is analyzed. The transition probabilities are written as an expansion of the occupation configurations. Due to that, the detail ...
Evolutionary Game Theory in Mixed Strategies: From Microscopic Interactions to Kinetic Equations
(American Institute of Mathematical Sciences, 2021-01)
In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where after an encounter each agent increases by a ...
Numerical simulation of a multiscale cell motility model based on the kinetic theory of active particles
(MDPI, 2019-08-03)
In this work, we deal with a kinetic model of cell movement that takes into consideration the structure of the extracellular matrix, considering cell membrane reactions, haptotaxis, and chemotaxis, which plays a key role ...
From particles to firms: On the kinetic theory of climbing up evolutionary landscapes
(World Scientific, 2020-06)
This paper constitutes the first attempt to bridge the evolutionary theory in economics and the theory of active particles in mathematics. It seeks to present a kinetic model for an evolutionary formalization of economic ...
Parameter estimation and measurement of social inequality in a kinetic model forwealth distribution
(MDPI AG, 2020-05-13)
This paper deals with the modeling of wealth distribution considering a society with non-constant population and non-conservative wealth trades. The modeling approach is based on the kinetic theory of active particles, ...
Kinetic Monte Carlo theory of sliding friction
(American Physical Society, 2009-10-15)
The sliding friction as a function of scanning velocity at the nanometer scale was simulated based on a modified one-dimensional Tomlinson model. Monte Carlo theory was exploited to describe the thermally activated hopping ...
Heavy quark collisional energy loss in the quark-gluon plasma including finite relaxation time
(American Physical Society, 2014-07)
In this paper, we calculate the soft-collisional energy loss of heavy quarks traversing the viscous quarkgluon plasma including the effects of a finite relaxation time τπ on the energy loss. We find that the collisional ...
On an optimal control strategy in a kinetic social dynamics model
(De Gruyter, 2018-04)
Kinetic models have so far been used to model wealth distribution in a society. In particular, within the framework of the kinetic theory for active particles, some important models have been developed and proposed. They ...
On the modeling of migration phenomena on small networks
(World Scientific, 2013)