Spectral Index Summary

set

all

in binary

isolated

MSP

slow

#pulsars

613

53

560

54

559

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

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

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

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

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

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

\(\tilde{\nu}\)

0.15 (2.8e-04, 597)

-0.18 (2.0e-01, 52)

0.19 (6.9e-06, 545)

-0.17 (2.2e-01, 53)

0.20 (1.6e-06, 544)

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

0.13 (1.3e-03, 590)

-0.20 (1.5e-01, 52)

0.16 (1.4e-04, 538)

-0.29 (3.5e-02, 53)

0.16 (1.6e-04, 537)

\(\dot{P}\)

0.08 (4.4e-02, 589)

0.06 (7.0e-01, 52)

0.09 (3.8e-02, 537)

-0.19 (1.8e-01, 52)

0.08 (5.7e-02, 537)

\(DM\)

-0.12 (3.3e-03, 597)

-0.09 (5.1e-01, 52)

-0.14 (1.5e-03, 545)

-0.24 (8.7e-02, 53)

-0.14 (1.1e-03, 544)

\(B_{LC}\)

-0.13 (1.9e-03, 589)

0.18 (1.9e-01, 52)

-0.17 (1.1e-04, 537)

0.14 (3.1e-01, 52)

-0.17 (4.8e-05, 537)

\(\tau\)

-0.12 (2.8e-03, 589)

0.01 (9.7e-01, 52)

-0.14 (1.2e-03, 537)

0.29 (3.9e-02, 52)

-0.13 (2.0e-03, 537)

\(\dot{E}\)

0.16 (7.2e-05, 589)

-0.19 (1.8e-01, 52)

0.19 (9.7e-06, 537)

-0.28 (4.3e-02, 52)

0.18 (1.8e-05, 537)

\(L_{400}\)

-0.39 (1.3e-21, 551)

-0.16 (3.1e-01, 42)

-0.44 (4.1e-26, 509)

-0.28 (7.5e-02, 41)

-0.44 (7.0e-26, 510)

\(L_{1400}\)

0.02 (6.7e-01, 576)

0.15 (3.2e-01, 49)

-0.00 (9.3e-01, 527)

-0.01 (9.5e-01, 51)

0.01 (8.6e-01, 525)

Spectral Index Mean Summary

Model

All Mean

MSP Mean

Normal Mean

simple_power_law

-1.62±0.86

-1.70±0.76

-1.61±0.87

high_frequency_cut_off_power_law

-0.69±0.54

-0.98±0.84

-0.67±0.50

low_frequency_turn_over_power_law

-3.43±2.18

-5.33±2.79

-3.26±2.05

double_turn_over_spectrum

-3.49±1.88

-3.02±1.50

-3.91±2.16

Total

-1.77±1.35

-0.98±0.84

-1.73±1.30

Spectral Index Median Summary

Model

All Median

MSP Median

Normal Median

simple_power_law

-1.61±0.86

-1.69±0.76

-1.60±0.87

high_frequency_cut_off_power_law

-0.65±0.54

-1.22±0.84

-0.64±0.50

low_frequency_turn_over_power_law

-2.53±2.18

-6.58±2.79

-2.47±2.05

double_turn_over_spectrum

-2.38±1.88

-2.24±1.50

-2.61±2.16

Total

-1.61±1.35

-1.22±0.84

-1.59±1.30

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