Spectral Index Summary

set

all

in binary

isolated

MSP

slow

#pulsars

695

64

631

68

627

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

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

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

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

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

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

\(\tilde{\nu}\)

0.13 (6.0e-04, 670)

-0.14 (2.8e-01, 61)

0.17 (3.2e-05, 609)

-0.22 (7.8e-02, 65)

0.20 (8.5e-07, 605)

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

0.10 (8.5e-03, 658)

-0.05 (7.2e-01, 59)

0.12 (2.3e-03, 599)

-0.20 (1.2e-01, 62)

0.12 (2.4e-03, 596)

\(\dot{P}\)

0.07 (8.4e-02, 652)

0.13 (3.5e-01, 55)

0.07 (8.6e-02, 597)

-0.06 (6.8e-01, 57)

0.04 (3.2e-01, 595)

\(DM\)

-0.10 (8.2e-03, 670)

-0.20 (1.3e-01, 61)

-0.10 (9.6e-03, 609)

-0.38 (1.7e-03, 65)

-0.11 (5.6e-03, 605)

\(B_{LC}\)

-0.11 (6.7e-03, 652)

0.17 (2.1e-01, 55)

-0.14 (7.9e-04, 597)

0.22 (1.1e-01, 57)

-0.17 (2.8e-05, 595)

\(\tau\)

-0.10 (8.2e-03, 652)

-0.06 (6.6e-01, 55)

-0.11 (5.3e-03, 597)

0.19 (1.5e-01, 57)

-0.09 (3.0e-02, 595)

\(\dot{E}\)

0.13 (1.3e-03, 652)

-0.11 (4.2e-01, 55)

0.14 (7.4e-04, 597)

-0.29 (2.9e-02, 57)

0.16 (1.5e-04, 595)

\(L_{400}\)

-0.38 (8.3e-23, 607)

-0.47 (1.2e-03, 44)

-0.41 (1.1e-24, 563)

-0.52 (1.4e-04, 48)

-0.42 (5.2e-25, 559)

\(L_{1400}\)

0.01 (8.5e-01, 640)

-0.24 (7.7e-02, 56)

0.01 (8.0e-01, 584)

-0.31 (1.4e-02, 61)

0.02 (6.9e-01, 579)

Spectral Index Mean Summary

Model

All Mean

MSP Mean

Normal Mean

simple_power_law

-1.62±0.88

-1.71±0.89

-1.61±0.88

high_frequency_cut_off_power_law

-0.63±0.49

-0.60±0.62

-0.63±0.47

low_frequency_turn_over_power_law

-3.72±2.17

-4.12±2.23

-3.48±2.12

double_turn_over_spectrum

-3.01±1.87

-3.69±2.17

-2.84±1.78

Total

-1.89±1.50

-0.57±0.65

-1.76±1.33

Spectral Index Median Summary

Model

All Median

MSP Median

Normal Median

simple_power_law

-1.62±0.88

-1.76±0.89

-1.61±0.88

high_frequency_cut_off_power_law

-0.59±0.49

-0.51±0.62

-0.60±0.47

low_frequency_turn_over_power_law

-2.77±2.17

-3.01±2.23

-2.68±2.12

double_turn_over_spectrum

-2.32±1.87

-2.91±2.17

-2.30±1.78

Total

-1.67±1.50

-0.50±0.65

-1.61±1.33

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