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Onset of Hyperbolic Macroscopic Behavior in Complex Systems Subjected to External Agents |
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PP: 2477-2484 |
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Author(s) |
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Carlo Bianca,
Christian Dogbe,
Annie Lemarchand,
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Abstract |
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| This paper deals with the derivation of hyperbolic equations from a space inhomogeneous thermostatted kinetic equation
which can be proposed for the modeling of complex systems subjected to the external actions at the microscopic and macroscopic
scales. The particles of the system are able to perform an activity which is modeled by introducing a specific variable. The derivation of
the hyperbolic equations is obtained by performing different scalings into the time and space variables and letting the scaling parameter
goes to zero. Applications and future research direction are discussed into the last section of the paper. |
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