A mathematical model of sentimental dynamics accounting for marital dissolution.

BACKGROUND: Marital dissolution is ubiquitous in western societies.It poses major scientific and sociological problems both in theoretical and therapeutic terms.Scholars and therapists agree on the existence of a sort of second law of thermodynamics for sentimental relationships.Effort is required to sustain them.

Love is not enough.METHODOLOGY/PRINCIPAL FINDINGS: Building on a simple version kenya tree coral for sale of the second law we use optimal control theory as a novel approach to model sentimental dynamics.Our analysis is consistent with sociological data.We show that, when both partners have similar emotional attributes, there is an optimal effort policy yielding a durable happy union.

This policy is prey to structural destabilization resulting from a combination of two factors: there is an effort gap because the optimal policy always entails discomfort and there is a tendency to lower effort to non-sustaining levels due to the instability of the dynamics.CONCLUSIONS/SIGNIFICANCE: These mathematical facts implied by the model unveil an underlying mechanism that may explain couple disruption in real scenarios.Within this framework the apparent paradox that a union consistently planned to click here last forever will probably break up is explained as a mechanistic consequence of the second law.

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