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Início
Agenda
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- 26 de junho de 2019
16h30
Sala
18 -
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Alexander
Wada
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IFSC
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Extinction
transitions in correlated external noise
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Phase transitions can be observed in many
phenomena, in particular,
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they can be observed in the absorbing phase
transition between extinction and survival of biological
populations.
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One of the simplest mean field models that describe
this kind of phase transition is the logistic equation.
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In this seminar we will analyze the phase
transition of the logistic equation with long-range power-law
correlated noise
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that allows the system to fluctuate between the
extinction and survival phases.
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By mapping this problem onto reflected fractional
Brownian motion, we will shed some light on how long-range
power-law correlated noise changes the critical behavior of the
system.
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The results of the mapping onto the reflected
fractional Brownian motion are supported by Monte Carlo
simulations.
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