Abstract
Intermittent chaotic behavior induced by a thermodiffusive coupling is investigated by analysis of a five-mode (Lorenz-like) truncated model describing a binary, diluted solution which behaves as a gaslike system. The obtained nonlinear equations coherently agree with the marginal stability locus point when the absence of a stationary state for the mass transfer is considered. For a wide range of reduced Rayleigh number values $r$, we show that the truncated model exhibits the Pomeau-Manneville intermittency route to chaos when the control (Soret-based) phenomenological coefficient $〈\ensuremath{\delta}〉$ approaches some critical values $〈\ensuremath{\delta}{〉}_{c}.$ Numerical simulations evaluating the generalized Lyapunov exponent against the control parameter displacement close to the intermittency threshold, $L(1)$ vs $(〈\ensuremath{\delta}{〉}_{c}\ensuremath{-}〈\ensuremath{\delta}〉)$, are reported inside the chaotic region. The achieved results agree reasonably with theoretical predictions.
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