Spectral Index Summary

set

all

in binary

isolated

MSP

slow

#pulsars

611

52

559

53

558

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

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

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

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

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

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

\(\tilde{\nu}\)

0.15 (2.0e-04, 595)

-0.16 (2.6e-01, 51)

0.19 (6.4e-06, 544)

-0.15 (2.9e-01, 52)

0.21 (1.4e-06, 543)

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

0.13 (1.4e-03, 589)

-0.20 (1.7e-01, 51)

0.16 (1.4e-04, 538)

-0.28 (4.6e-02, 52)

0.16 (1.6e-04, 537)

\(\dot{P}\)

0.08 (4.8e-02, 588)

0.04 (7.9e-01, 51)

0.09 (3.6e-02, 537)

-0.21 (1.4e-01, 51)

0.08 (5.5e-02, 537)

\(DM\)

-0.12 (2.8e-03, 595)

-0.12 (3.8e-01, 51)

-0.13 (1.6e-03, 544)

-0.26 (6.4e-02, 52)

-0.14 (1.1e-03, 543)

\(B_{LC}\)

-0.13 (1.6e-03, 588)

0.16 (2.5e-01, 51)

-0.16 (1.2e-04, 537)

0.12 (4.0e-01, 51)

-0.17 (5.2e-05, 537)

\(\tau\)

-0.12 (3.3e-03, 588)

0.01 (9.5e-01, 51)

-0.14 (1.2e-03, 537)

0.28 (4.3e-02, 51)

-0.13 (2.0e-03, 537)

\(\dot{E}\)

0.16 (6.4e-05, 588)

-0.17 (2.3e-01, 51)

0.19 (1.0e-05, 537)

-0.26 (6.7e-02, 51)

0.18 (1.9e-05, 537)

\(L_{400}\)

-0.39 (3.0e-21, 550)

-0.16 (3.3e-01, 41)

-0.44 (2.2e-25, 509)

-0.27 (8.8e-02, 40)

-0.44 (3.5e-25, 510)

\(L_{1400}\)

0.02 (6.6e-01, 574)

0.15 (3.1e-01, 48)

-0.00 (9.8e-01, 526)

-0.00 (9.9e-01, 50)

0.01 (8.0e-01, 524)

Spectral Index Mean Summary

Model

All Mean

MSP Mean

Normal Mean

simple_power_law

-1.61±0.87

-1.69±0.76

-1.61±0.87

high_frequency_cut_off_power_law

-0.68±0.52

-0.91±0.86

-0.67±0.49

low_frequency_turn_over_power_law

-3.44±2.23

-5.34±2.67

-3.20±2.06

double_turn_over_spectrum

-3.84±2.17

-3.44±2.01

-4.08±2.34

Total

-1.77±1.37

-0.91±0.86

-1.71±1.29

Spectral Index Median Summary

Model

All Median

MSP Median

Normal Median

simple_power_law

-1.61±0.87

-1.69±0.76

-1.60±0.87

high_frequency_cut_off_power_law

-0.65±0.52

-1.07±0.86

-0.64±0.49

low_frequency_turn_over_power_law

-2.43±2.23

-6.17±2.67

-2.40±2.06

double_turn_over_spectrum

-3.07±2.17

-2.97±2.01

-3.28±2.34

Total

-1.61±1.37

-1.07±0.86

-1.58±1.29

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