Spectral Index Summary

set

all

in binary

isolated

MSP

slow

#pulsars

618

53

565

59

559

\({\bf log_{10}(x)}\)

\({\bf r_s (p, N)}\)

\({\bf r_s (p, N)}\)

\({\bf r_s (p, N)}\)

\({\bf r_s (p, N)}\)

\({\bf r_s (p, N)}\)

\(\tilde{\nu}\)

0.14 (9.1e-04, 595)

-0.12 (3.9e-01, 50)

0.17 (1.1e-04, 545)

-0.10 (4.7e-01, 57)

0.19 (5.5e-06, 538)

\(\left| \dot{\tilde{\nu}} \right|\)

0.11 (5.8e-03, 588)

-0.06 (6.8e-01, 50)

0.14 (1.1e-03, 538)

-0.22 (9.4e-02, 57)

0.14 (8.1e-04, 531)

\(\dot{P}\)

0.07 (1.1e-01, 585)

0.09 (5.4e-01, 49)

0.08 (6.3e-02, 536)

-0.18 (2.0e-01, 55)

0.06 (1.4e-01, 530)

\(DM\)

-0.10 (1.4e-02, 595)

-0.19 (2.0e-01, 50)

-0.10 (1.9e-02, 545)

-0.37 (4.1e-03, 57)

-0.11 (1.2e-02, 538)

\(B_{LC}\)

-0.13 (2.4e-03, 585)

0.17 (2.5e-01, 49)

-0.15 (5.5e-04, 536)

0.11 (4.3e-01, 55)

-0.17 (6.3e-05, 530)

\(\tau\)

-0.10 (1.5e-02, 585)

-0.06 (7.0e-01, 49)

-0.12 (4.6e-03, 536)

0.25 (6.9e-02, 55)

-0.11 (1.0e-02, 530)

\(\dot{E}\)

0.15 (2.5e-04, 585)

-0.08 (5.6e-01, 49)

0.16 (1.9e-04, 536)

-0.25 (6.6e-02, 55)

0.17 (8.5e-05, 530)

\(L_{400}\)

-0.38 (6.2e-20, 543)

-0.31 (5.5e-02, 40)

-0.42 (8.3e-23, 503)

-0.28 (6.4e-02, 44)

-0.43 (6.4e-24, 499)

\(L_{1400}\)

0.02 (6.5e-01, 571)

0.06 (7.1e-01, 47)

0.01 (8.1e-01, 524)

0.02 (8.8e-01, 54)

0.02 (7.2e-01, 517)

Spectral Index Mean Summary

Model

All Mean

MSP Mean

Normal Mean

simple_power_law

-1.63±0.93

-1.68±0.83

-1.62±0.94

high_frequency_cut_off_power_law

-0.70±0.53

-0.69±0.56

-0.71±0.53

low_frequency_turn_over_power_law

-3.87±2.30

-5.93±2.32

-3.66±2.20

double_turn_over_spectrum

-3.95±2.66

-3.22±1.85

-4.22±2.90

Total

-1.91±1.58

-0.71±0.60

-1.86±1.53

Spectral Index Median Summary

Model

All Median

MSP Median

Normal Median

simple_power_law

-1.62±0.93

-1.66±0.83

-1.61±0.94

high_frequency_cut_off_power_law

-0.67±0.53

-0.70±0.56

-0.67±0.53

low_frequency_turn_over_power_law

-2.81±2.30

-6.37±2.32

-2.78±2.20

double_turn_over_spectrum

-3.00±2.66

-2.68±1.85

-3.44±2.90

Total

-1.63±1.58

-0.85±0.60

-1.62±1.53

Spectral Index Histogram

_images/spectral_index_histogram.png

\(\tilde{\nu}\) Correlations

All Pulsars

_images/corr_line_a_ATNF_Spin_Frequency_%28Hz%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_Spin_Frequency_%28Hz%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_Spin_Frequency_%28Hz%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_Spin_Frequency_%28Hz%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_Spin_Frequency_%28Hz%29_log_Only_Slow_Pulsars.png

\(\dot{P}\) Correlations

All Pulsars

_images/corr_line_a_ATNF_Pdot_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_Pdot_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_Pdot_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_Pdot_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_Pdot_log_Only_Slow_Pulsars.png

\(\left| \dot{\tilde{\nu}} \right|\) Correlations

All Pulsars

_images/corr_line_a_ATNF_Fdot_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_Fdot_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_Fdot_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_Fdot_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_Fdot_log_Only_Slow_Pulsars.png

\(DM\) Correlations

All Pulsars

_images/corr_line_a_ATNF_DM_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_DM_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_DM_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_DM_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_DM_log_Only_Slow_Pulsars.png

\(B_{LC}\) Correlations

All Pulsars

_images/corr_line_a_ATNF_B_LC_%28G%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_B_LC_%28G%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_B_LC_%28G%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_B_LC_%28G%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_B_LC_%28G%29_log_Only_Slow_Pulsars.png

\(\dot{E}\) Correlations

All Pulsars

_images/corr_line_a_ATNF_E_dot_%28ergs_s%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_ATNF_E_dot_%28ergs_s%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_ATNF_E_dot_%28ergs_s%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_ATNF_E_dot_%28ergs_s%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_ATNF_E_dot_%28ergs_s%29_log_Only_Slow_Pulsars.png

\(L_{400}\) Correlations

All Pulsars

_images/corr_line_a_L400_%28mJy_kpc%5E2%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_L400_%28mJy_kpc%5E2%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_L400_%28mJy_kpc%5E2%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_L400_%28mJy_kpc%5E2%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_L400_%28mJy_kpc%5E2%29_log_Only_Slow_Pulsars.png

\(L_{1400}\) Correlations

All Pulsars

_images/corr_line_a_L1400_%28mJy_kpc%5E2%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_L1400_%28mJy_kpc%5E2%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_L1400_%28mJy_kpc%5E2%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_L1400_%28mJy_kpc%5E2%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_L1400_%28mJy_kpc%5E2%29_log_Only_Slow_Pulsars.png

\(\tau\) Correlations

All Pulsars

_images/corr_line_a_Age_%28Yr%29_log_All_Pulsars.png

Only Binary Pulsars

_images/corr_line_a_Age_%28Yr%29_log_Only_Binary_Pulsars.png

Only Isolated Pulsars

_images/corr_line_a_Age_%28Yr%29_log_Only_Isolated_Pulsars.png

Only MSPs

_images/corr_line_a_Age_%28Yr%29_log_Only_MSPs.png

Only Slow Pulsars

_images/corr_line_a_Age_%28Yr%29_log_Only_Slow_Pulsars.png