1. Marty Lee Durham, New Hampshire USA
An Analytical Theory of Diffusive Shock Acceleration for Gradual SEP Events
Marty Lee
Durham, New Hampshire
USA

2. Acceleration at a CME-Driven Shock
Lee, 2005

3. First-Order Fermi Acceleration
v
vz

4. Upstream Waves I
Tsurutani et al., 1983

5. Upstream Waves II
Hoppe et al., 1981

6. Instability Mechanism
v VA
vz

7. January 20, 2005 GLE Event
Bieber et al., 2005

8. Large SEP Events
Reames and Ng, 1998

9. SEP Energy Spectra
Tylka et al., 2001

10. Shock Geometry
Cane et al., 1988

11. Shock Acceleration I

12. Shock Acceleration II

13. Shock Acceleration III

14. Shock Acceleration IV

15. Shock Acceleration V

16. Analytical and Numerical Calculations Proposed I
1. Calculation of
with dependence on
2. Role of shock obliquity
(Tylka and Lee, 2006)

17. Analytical and Numerical Calculations Proposed II
3. Form of exponential rollover
with dependence on
4. Ion spatial profiles upstream of the shock
5. Escaping ions and the streaming limit
6. Inferring from ESP events

18. Spectral Rollover:
Mewaldt et al.;

19. Work Plan: Way Behind! Year 1: Complete and publish analytical work
Year 2: Develop the numerical algorithm and
test the analytical approximation.
Year 3: Systematic comparison of results with
selected events