Spectral Index Summary ====================== +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | set | all | in binary | isolated | MSP | slow | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | #pulsars | 695 | 64 | 631 | 68 | 627 | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`{\bf log_{10}(x)}` | :math:`{\bf r_s (p, N)}` | :math:`{\bf r_s (p, N)}` | :math:`{\bf r_s (p, N)}` | :math:`{\bf r_s (p, N)}` | :math:`{\bf r_s (p, N)}` | +==========================================+==========================+==========================+==========================+==========================+==========================+ | :math:`\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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`\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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`\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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`\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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`\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) | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`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)** | +------------------------------------------+--------------------------+--------------------------+--------------------------+--------------------------+--------------------------+ | :math:`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 --------------------------- .. csv-table:: :header: "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 ----------------------------- .. csv-table:: :header: "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 ------------------------ .. image:: histograms/spectral_index_histogram.png :width: 800 :math:`\tilde{\nu}` Correlations -------------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Spin_Frequency_(Hz)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Spin_Frequency_(Hz)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Spin_Frequency_(Hz)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Spin_Frequency_(Hz)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Spin_Frequency_(Hz)_log_Only_Slow_Pulsars.png :width: 800 :math:`\dot{P}` Correlations ---------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Pdot_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Pdot_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Pdot_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Pdot_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Pdot_log_Only_Slow_Pulsars.png :width: 800 :math:`\left| \dot{\tilde{\nu}} \right|` Correlations ----------------------------------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Fdot_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Fdot_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Fdot_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Fdot_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_Fdot_log_Only_Slow_Pulsars.png :width: 800 :math:`DM` Correlations ----------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_DM_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_DM_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_DM_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_DM_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_DM_log_Only_Slow_Pulsars.png :width: 800 :math:`B_{LC}` Correlations --------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_B_LC_(G)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_B_LC_(G)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_B_LC_(G)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_B_LC_(G)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_B_LC_(G)_log_Only_Slow_Pulsars.png :width: 800 :math:`\dot{E}` Correlations ---------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_E_dot_(ergs_s)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_E_dot_(ergs_s)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_E_dot_(ergs_s)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_E_dot_(ergs_s)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_ATNF_E_dot_(ergs_s)_log_Only_Slow_Pulsars.png :width: 800 :math:`L_{400}` Correlations ---------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_L400_(mJy_kpc^2)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L400_(mJy_kpc^2)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L400_(mJy_kpc^2)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_L400_(mJy_kpc^2)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L400_(mJy_kpc^2)_log_Only_Slow_Pulsars.png :width: 800 :math:`L_{1400}` Correlations ----------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_L1400_(mJy_kpc^2)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L1400_(mJy_kpc^2)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L1400_(mJy_kpc^2)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_L1400_(mJy_kpc^2)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_L1400_(mJy_kpc^2)_log_Only_Slow_Pulsars.png :width: 800 :math:`\tau` Correlations ------------------------- All Pulsars ^^^^^^^^^^^ .. image:: correlations/corr_line_a_Age_(Yr)_log_All_Pulsars.png :width: 800 Only Binary Pulsars ^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_Age_(Yr)_log_Only_Binary_Pulsars.png :width: 800 Only Isolated Pulsars ^^^^^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_Age_(Yr)_log_Only_Isolated_Pulsars.png :width: 800 Only MSPs ^^^^^^^^^ .. image:: correlations/corr_line_a_Age_(Yr)_log_Only_MSPs.png :width: 800 Only Slow Pulsars ^^^^^^^^^^^^^^^^^ .. image:: correlations/corr_line_a_Age_(Yr)_log_Only_Slow_Pulsars.png :width: 800