Os raios ca³smicos sãopartículas atômicas de alta energia bombardeando continuamente asuperfÍcie da Terra quase a velocidade da luz.
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)
Representação esquema¡tica de raios ca³smicos propagando-se atravanãs de nuvens magnanãticas. Crédito: Salvatore Buonocore
Os raios ca³smicos sãopartículas atômicas de alta energia bombardeando continuamente asuperfÍcie da Terra quase a velocidade da luz. O campo magnético do nosso planeta protege asuperfÍcie da maior parte da radiação gerada por essas partículas Ainda assim, os raios ca³smicos podem causar mau funcionamento eletra´nico e são a principal preocupação no planejamento de missaµes espaciais.
Os pesquisadores sabem que os raios ca³smicos se originam de uma infinidade de estrelas na Via La¡ctea, incluindo nosso sol e outras gala¡xias. A dificuldade érastrear aspartículas atéfontes especaficas, porque a turbulaªncia do gás interestelar, plasma e poeira faz com que elas se espalhem e se espalhem em diferentes direções.
No AIP Advances , os pesquisadores da University of Notre Dame desenvolveram um modelo de simulação para entender melhor essas e outras caracteristicas de transporte de raios ca³smicos, com o objetivo de desenvolver algoritmos para aprimorar as técnicas de detecção existentes.
A teoria do movimento browniano égeralmente empregada para estudar as trajeta³rias dos raios ca³smicos. Muito parecido com o movimento aleata³rio daspartículas de pa³len em um lago, as colisaµes entre os raios ca³smicos dentro de campos magnanãticos flutuantes fazem com que aspartículas se propelam em diferentes direções.
Mas esta abordagem de difusão cla¡ssica não aborda adequadamente as diferentes taxas de propagação afetadas por diversos ambientes interestelares e longos períodos de vazios ca³smicos. Aspartículas podem ficar presas por um tempo em campos magnanãticos, o que as desacelera, enquanto outras são lascadas em velocidades mais altas por meio de explosaµes de estrelas.
Para abordar a natureza complexa da viagem de raios ca³smicos, os pesquisadores usam um modelo de espalhamento estoca¡stico, uma coleção de varia¡veis ​​aleata³rias que evoluem ao longo do tempo. O modelo ébaseado no movimento browniano geomanãtrico, uma teoria de difusão cla¡ssica combinada com um ligeiro desvio da trajeta³ria em uma direção.
Em seu primeiro experimento, eles simularam raios ca³smicos movendo-se pelo espaço interestelar e interagindo com nuvens magnetizadas localizadas, representadas como tubos. Os raios viajam sem serem perturbados por um longo período de tempo. Eles são interrompidos por uma interação caa³tica com as nuvens magnetizadas, resultando em alguns raios reemitindo em direções aleata³rias e outros permanecendo presos.
A análise numanãrica de Monte Carlo, baseada em amostragem aleata³ria repetida, revelou faixas de densidade e forças de reemissão das nuvens magnanãticas interestelares, levando a distribuições enviesadas ou de cauda pesada dos raios ca³smicos em propagação.
A análise denota comportamento superdifusivo acentuado. As previsaµes do modelo concordam bem com as propriedades de transporte conhecidas em meios interestelares complexos.
"Nosso modelo fornece informações valiosas sobre a natureza de ambientes complexos atravessados ​​por raios ca³smicos e pode ajudar a avana§ar as técnicas de detecção atuais", disse o autor Salvatore Buonocore.