Magnetic mirrors / Fermi acceleration - Histórico de revisões

Ist426982 em 15h53min de 17 de junho de 2017

2017-06-17T15:53:47Z

2017-06-17T15:53:19Z

2017-06-17T15:52:54Z

2017-06-14T16:26:34Z

2017-06-14T16:25:50Z

2017-06-14T16:10:54Z

Criou a página com "(F. F. Chen ~ 2.12, Fermi acceleration of cosmic rays)."

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(F. F. Chen ~ 2.12, Fermi acceleration of cosmic rays).

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 (a) Using the invariance of \(\mu\), find the energy to which the proton is accelerated before it escapes.
-(b) How long does it take to reach that energy? Suggestions: i) suppose that the $B$ field is approxiamtely uniform in the space between the mirrors and changes abruptly near the mirrors, ''i.e.'', treat each mirror as a flat piston and show that the velocity gained  at each bounce is \(2v_m\); ii) compute the number of bounces necessary;  iii) assume that the distance between the mirrors does not change appreciably
+(b) How long does it take to reach that energy? Suggestions: i) suppose that the \(B\) field is approxiamtely uniform in the space between the mirrors and changes abruptly near the mirrors, ''i.e.'', treat each mirror as a flat piston and show that the velocity gained  at each bounce is \(2v_m\); ii) compute the number of bounces necessary;  iii) assume that the distance between the mirrors does not change appreciably
 during the acceleration process.

@@ Linha 7: / Linha 7: @@
 (a) Using the invariance of \(\mu\), find the energy to which the proton is accelerated before it escapes.
-(b) How long does it take to reach that energy? Suggestions: i) suppose that the $B$ field is approxiamtely uniform in the space between the mirrors and changes abruptly near the mirrors, \textit{i.e.}, treat each mirror as a flat piston and show that the velocity gained  at each bounce is \(2v_m\); ii) compute the number of bounces necessary;  iii) assume that the distance between the mirrors does not change appreciably
+(b) How long does it take to reach that energy? Suggestions: i) suppose that the $B$ field is approxiamtely uniform in the space between the mirrors and changes abruptly near the mirrors, ''i.e.'', treat each mirror as a flat piston and show that the velocity gained  at each bounce is \(2v_m\); ii) compute the number of bounces necessary;  iii) assume that the distance between the mirrors does not change appreciably
 during the acceleration process.

← Revisão anterior		Revisão das 15h52min de 17 de junho de 2017
Linha 4:		Linha 4:
	mirror ratio \(R_m=5\). Initially its energy is \(W=1\) keV and \(v_\perp = v_\parallel\) at the midplane.		mirror ratio \(R_m=5\). Initially its energy is \(W=1\) keV and \(v_\perp = v_\parallel\) at the midplane.
	Each mirror moves toward the midplane with a velocity \(v_m=10\) km/s and the initial distance between the mirrors is \(L=10^{10}\) km.		Each mirror moves toward the midplane with a velocity \(v_m=10\) km/s and the initial distance between the mirrors is \(L=10^{10}\) km.
		+
		+	(a) Using the invariance of \(\mu\), find the energy to which the proton is accelerated before it escapes.
		+
		+	(b) How long does it take to reach that energy? Suggestions: i) suppose that the $B$ field is approxiamtely uniform in the space between the mirrors and changes abruptly near the mirrors, \textit{i.e.}, treat each mirror as a flat piston and show that the velocity gained at each bounce is \(2v_m\); ii) compute the number of bounces necessary; iii) assume that the distance between the mirrors does not change appreciably
		+	during the acceleration process.

@@ Linha 2: / Linha 2: @@
 A cosmic ray proton is trapped between two moving magnetic mirrors with
-mirror ratio \(R_m=5\). Initially its energy is $W=1$ keV and $v_\perp = v_\parallel$ at the midplane.
+mirror ratio \(R_m=5\). Initially its energy is \(W=1\) keV and \(v_\perp = v_\parallel\) at the midplane.
-Each mirror moves toward the midplane with a velocity $v_m=10$ km/s and the initial distance between the mirrors is $L=10^{10}$ km.
+Each mirror moves toward the midplane with a velocity \(v_m=10\) km/s and the initial distance between the mirrors is \(L=10^{10}\) km.

← Revisão anterior		Revisão das 16h25min de 14 de junho de 2017
Linha 1:		Linha 1:
	(F. F. Chen ~ 2.12, Fermi acceleration of cosmic rays).		(F. F. Chen ~ 2.12, Fermi acceleration of cosmic rays).
		+
		+	A cosmic ray proton is trapped between two moving magnetic mirrors with
		+	mirror ratio \(R_m=5\). Initially its energy is $W=1$ keV and $v_\perp = v_\parallel$ at the midplane.
		+	Each mirror moves toward the midplane with a velocity $v_m=10$ km/s and the initial distance between the mirrors is $L=10^{10}$ km.