Por cerca de 20 anos, Paul Bellan, professor de física aplicada da Caltech, e seu grupo têm criado jatos de plasma magneticamente acelerados, um gás eletricamente condutor composto de íons e elétrons, em uma câmara de vácuo grande o suficiente...
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)
Por cerca de 20 anos, Paul Bellan, professor de física aplicada da Caltech, e seu grupo têm criado jatos de plasma magneticamente acelerados, um gás eletricamente condutor composto de íons e elétrons, em uma câmara de vácuo grande o suficiente para conter uma pessoa. (Sinais de néon e relâmpagos são exemplos cotidianos de plasma).
Nessa câmara de vácuo, fragmentos de gás são ionizados por vários milhares de volts. Cem mil amperes fluem então através do plasma, produzindo fortes campos magnéticos que moldam o plasma em um jato viajando a cerca de 16 quilômetros por segundo. Gravações em alta velocidade mostram que o jato passa por vários estágios distintos em algumas dezenas de microssegundos.
Bellan diz que o jato de plasma parece um guarda-chuva crescendo em comprimento. Quando o comprimento atinge um ou dois pés, o jato sofre uma instabilidade que faz com que ele se transforme em um saca-rolhas em rápida expansão. Esta rápida expansão desencadeia uma instabilidade diferente e mais rápida que cria ondulações.
“As ondulações sufocam a corrente elétrica de 100 quiloampéres do jato, da mesma forma que colocar o polegar sobre uma mangueira de água restringe o fluxo e cria um gradiente de pressão que acelera a água”, disse ele. Bellan diz. “Sufocar a corrente do jato cria um campo elétrico forte o suficiente para acelerar os elétrons a alta energia.”
Esses eletrões de alta energia foram previamente identificados na experiência do jato pelos raios X que geram, e Bellan diz que a sua presença foi uma surpresa. Isso ocorre porque o entendimento convencional diz que o plasma a jato era muito frio para que os elétrons fossem acelerados a altas energias. Observe que "frio" é um termo relativo: embora este plasma tivesse uma temperatura de cerca de 20.000 Kelvin (35.500 graus Fahrenheit) – muito mais quente do que qualquer coisa que os humanos normalmente encontram – ele não está nem perto da temperatura da coroa do Sol, que é superior a um milhão de Kelvin. (1,8 milhões de graus F.)
“Então, a questão é: ‘Por que estamos vendo raios X?’”. ele diz.
Pensava-se que os plasmas frios eram incapazes de gerar elétrons de alta energia porque são muito "colisionais" o que significa que um elétron não pode viajar muito antes de colidir com outra partícula. É como um motorista tentando arrastar a corrida em um engarrafamento na rodovia. O motorista poderia pisar no acelerador, mas percorreria apenas alguns metros antes de bater em outro carro. No caso de um plasma frio, um elétron aceleraria apenas cerca de um mícron antes de colidir e desacelerar.
A primeira tentativa do grupo Bellan de explicar esse fenômeno foi um modelo que sugeria que alguma fração dos elétrons consegue evitar a colisão com outras partículas durante o primeiro mícron de viagem. De acordo com a teoria, isso permitiu que os elétrons acelerassem a uma velocidade um pouco mais alta e, uma vez mais rápido, poderiam viajar um pouco mais longe antes de encontrar outra partícula com a qual pudessem colidir. Alguma fração desses elétrons, agora mais rápidos, evitaria novamente uma colisão por um tempo, permitindo-lhes atingir uma velocidade ainda maior, o que lhes permitiria viajar ainda mais longe, criando um ciclo de feedback positivo que permitiria que alguns elétrons sortudos fossem mais longe. e mais rápido, atingindo altas velocidades e altas energias.
Mas embora convincente, a teoria estava errada, diz Bellan.
“Percebeu-se que este argumento tem uma falha”, disse. ele diz, “porque os elétrons não colidem realmente no sentido de atingir ou não atingir algo. Na verdade, todos eles estão desviando um pouco o tempo todo. Portanto, não existe um elétron que esteja colidindo ou não.”
No entanto, elétrons de alta energia aparecem no plasma frio do experimento do jato. Para descobrir o porquê, Bellan desenvolveu um código de computador que calculava as ações de 5.000 elétrons e 5.000 íons desviando-se continuamente uns dos outros em um campo elétrico. Para descobrir como alguns elétrons conseguiam atingir altas energias, ele ajustou os parâmetros e observou como os elétrons se movimentavam. comportamento mudou.
À medida que os elétrons aceleram no campo elétrico, eles passam perto dos íons, mas nunca os tocam. Ocasionalmente, um elétron passa tão próximo de um íon que transfere energia para um elétron ligado ao íon e desacelera, com o agora "excitado" íon irradiando luz visível. Como os elétrons só ocasionalmente passam tão próximos, eles geralmente se desviam ligeiramente do íon sem excitá-lo. Esse vazamento ocasional de energia ocorre na maioria dos elétrons, o que significa que eles nunca atingem altas energias.
Quando Bellan ajustou sua simulação, apareceram alguns elétrons de alta energia capazes de criar raios X. “Os poucos sortudos que nunca chegam perto o suficiente de um íon para excitá-lo nunca perdem energia”, disse ele. ele adiciona. “Esses elétrons são continuamente acelerados no campo elétrico e, finalmente, atingem energia suficiente para produzir os raios X.”
Bellan diz que se esse comportamento ocorre no jato de plasma em seu laboratório Caltech, provavelmente também acontece em explosões solares e em situações astrofísicas. Isto também pode explicar por que raios X inesperadamente de alta energia são às vezes vistos durante experimentos de energia de fusão.
“Há uma longa história de pessoas vendo coisas que consideravam uma fusão útil”, disse ele. ele diz. "Acontece que foi uma fusão, mas não foi realmente útil. Foram intensos campos elétricos transitórios produzidos por instabilidades que aceleraram algumas partículas a energias extremamente altas. Isso pode estar explicando o que estava acontecendo. Não é isso que as pessoas querem, mas provavelmente é o que acontece.”
O artigo que descreve o trabalho, "Produção energética da cauda de elétrons a partir de encontros binários de elétrons e íons discretos em um campo elétrico sub-Dreicer," apareceu na edição de 20 de outubro da Physics of Plasmas e foi apresentado em 3 de novembro na 65ª Reunião Anual da American Physical Society Division of Plasma Physics em Denver , Colorado.
O financiamento para a pesquisa foi fornecido pela National Science Foundation e pelo Escritório de Pesquisa Científica da Força Aérea.