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Los mecanismos del extenso caos espacio-temporal en la convección de Rayleigh-Benard

Egolf¹, Melnikov, Pesch

¹Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA. egolf@lanl.gov

|April 28, 2000

Resumen

El caos espacio-temporal en sistemas naturales como la convección de Rayleigh-Benard es extenso, lo que significa que su complejidad escala con el tamaño del sistema. Este trastorno surge de eventos localizados de creación y aniquilación de defectos.

Área de la Ciencia:

Sistemas complejos de sistemas complejos.
La dinámica de fluidos es la dinámica de fluidos.
Teoría del Caos La teoría del caos.

Sus antecedentes:

Los sistemas dinámicos espacialmente extendidos muestran un complejo caos espacio-temporal.
Se establece el análisis de sistemas de baja dimensión utilizando dimensiones fractales y exponentes de Lyapunov.
Comprender el caos espacio-temporal de alta dimensión sigue siendo un desafío a pesar de los datos estadísticos.

Objetivo del estudio:

Investigar la naturaleza del caos espacio-temporal en un fenómeno natural: el caos del defecto en espiral en la convección de Rayleigh-Benard.
Determinar si este caos es extenso en un sistema de alta dimensión.
Identificar los mecanismos subyacentes que generan el desorden caótico.

Principales métodos:

Investigación computacional del caos de los defectos espirales en la convección Rayleigh-Benard.
Análisis de los grados de libertad dinámicos y su escala con el volumen del sistema.
Estudio detallado de la evolución espacio-temporal de los grados de libertad dinámicos.

Principales resultados:

El caos espacio-temporal en los estados de defecto en espiral de la convección de Rayleigh-Benard es extenso.
El sistema se caracteriza por aproximadamente cien grados dinámicos de libertad.
La generación de trastornos caóticos está localizada a eventos de creación y aniquilación de defectos.

Conclusiones:

El enfoque dinámico puede extenderse para comprender el caos espacio-temporal de alta dimensión en los sistemas naturales.
El caos del defecto en espiral en la convección de Rayleigh-Benard exhibe propiedades extensas.
Las dinámicas de defectos localizados son los principales impulsores del caos espacio-temporal en este sistema.

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