<p>We observed simultaneous intensity and temperature oscillations in three coronal loop slices of AR 11092, using four EUV channels of AIA/SDO. We applied AIA/SDO data of AR 11092 from 13:30–18:00 UT on August 1, 2010. These slices have lengths of 33, 29, and 18&#xa0;Mm analyzed at the wavelengths of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(131 \, \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>131</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Å, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(171 \,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>171</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Å, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(193 \,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>193</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Å, and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(211 \,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>211</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Å. Exponential fits to intensity profiles enabled estimations of oscillation parameters: period, damping time, phase speed, and damping quality factor. Mean periods of intensity oscillations for slices <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\text {S}_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\text {S}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\text {S}_3\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation> were <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\mathrm {26.2\pm 1.2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>26.2</mn> <mo>±</mo> <mn>1.2</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\mathrm {26.1\pm 1.0}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>26.1</mn> <mo>±</mo> <mn>1.0</mn> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\mathrm {28.2\pm 1.2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>28.2</mn> <mo>±</mo> <mn>1.2</mn> </mrow> </math></EquationSource> </InlineEquation> minutes, and for temperature oscillations, 63, 67, and 54&#xa0;min, respectively. Cross-correlation analysis across wavelengths showed the highest coefficients between <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(131 \,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>131</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Å, and <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(171 \,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>171</mn> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Åfor all slices, with strong correlations across all wavelength pairs. Temperature diagnostics using the CHIANTI code yielded loop mean temperature (log) between <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\mathrm {5.6}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>5.6</mn> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\mathrm {7.2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>7.2</mn> </mrow> </math></EquationSource> </InlineEquation>, with closely matched values among loops. We derived phase speed (<InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(V_{\textrm{ph}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>V</mi> <mtext>ph</mtext> </msub> </math></EquationSource> </InlineEquation>), and sound speed (<InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(C_{\textrm{s}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mtext>s</mtext> </msub> </math></EquationSource> </InlineEquation>) for <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(\text {S}_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>: <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(42\pm 2\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>42</mn> <mo>±</mo> <mn>2</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(215\pm 102\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>215</mn> <mo>±</mo> <mn>102</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, for <InlineEquation ID="IEq20"> <EquationSource Format="TEX">\(\text {S}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>: <InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(37.0\pm 1.4\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>37.0</mn> <mo>±</mo> <mn>1.4</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq22"> <EquationSource Format="TEX">\(215\pm 76\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>215</mn> <mo>±</mo> <mn>76</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, for <InlineEquation ID="IEq23"> <EquationSource Format="TEX">\(\text {S}_3\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>S</mtext> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation>: <InlineEquation ID="IEq24"> <EquationSource Format="TEX">\(21.3\pm 0.9\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>21.3</mn> <mo>±</mo> <mn>0.9</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq25"> <EquationSource Format="TEX">\(271\pm 95\,\mathrm {km/s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>271</mn> <mo>±</mo> <mn>95</mn> <mspace width="0.166667em" /> <mrow> <mi mathvariant="normal">km</mi> <mo stretchy="false">/</mo> <mi mathvariant="normal">s</mi> </mrow> </mrow> </math></EquationSource> </InlineEquation>, respectively. In all cases, <InlineEquation ID="IEq26"> <EquationSource Format="TEX">\(V_{\textrm{ph}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>V</mi> <mtext>ph</mtext> </msub> </math></EquationSource> </InlineEquation> &lt; <InlineEquation ID="IEq27"> <EquationSource Format="TEX">\(C_{\textrm{s}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mtext>s</mtext> </msub> </math></EquationSource> </InlineEquation>, consistent with slow-mode waves. These results confirmed the presence of slow-mode waves in these three loops. Our study reveals simultaneous oscillations in intensity and temperature, with measurable phase differences, within post-flare coronal loops.</p>

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Thermal and radiative oscillations of three coronal loops in AR 11092

  • Marjan Yousefzadeh Shabestari,
  • Narges Fathalian

摘要

We observed simultaneous intensity and temperature oscillations in three coronal loop slices of AR 11092, using four EUV channels of AIA/SDO. We applied AIA/SDO data of AR 11092 from 13:30–18:00 UT on August 1, 2010. These slices have lengths of 33, 29, and 18 Mm analyzed at the wavelengths of \(131 \, \) 131 Å, \(171 \,\) 171 Å, \(193 \,\) 193 Å, and \(211 \,\) 211 Å. Exponential fits to intensity profiles enabled estimations of oscillation parameters: period, damping time, phase speed, and damping quality factor. Mean periods of intensity oscillations for slices \(\text {S}_1\) S 1 , \(\text {S}_2\) S 2 , and \(\text {S}_3\) S 3 were \(\mathrm {26.2\pm 1.2}\) 26.2 ± 1.2 , \(\mathrm {26.1\pm 1.0}\) 26.1 ± 1.0 , and \(\mathrm {28.2\pm 1.2}\) 28.2 ± 1.2 minutes, and for temperature oscillations, 63, 67, and 54 min, respectively. Cross-correlation analysis across wavelengths showed the highest coefficients between \(131 \,\) 131 Å, and \(171 \,\) 171 Åfor all slices, with strong correlations across all wavelength pairs. Temperature diagnostics using the CHIANTI code yielded loop mean temperature (log) between \(\mathrm {5.6}\) 5.6 , and \(\mathrm {7.2}\) 7.2 , with closely matched values among loops. We derived phase speed ( \(V_{\textrm{ph}}\) V ph ), and sound speed ( \(C_{\textrm{s}}\) C s ) for \(\text {S}_1\) S 1 : \(42\pm 2\,\mathrm {km/s}\) 42 ± 2 km / s , and \(215\pm 102\,\mathrm {km/s}\) 215 ± 102 km / s , for \(\text {S}_2\) S 2 : \(37.0\pm 1.4\,\mathrm {km/s}\) 37.0 ± 1.4 km / s , and \(215\pm 76\,\mathrm {km/s}\) 215 ± 76 km / s , for \(\text {S}_3\) S 3 : \(21.3\pm 0.9\,\mathrm {km/s}\) 21.3 ± 0.9 km / s , and \(271\pm 95\,\mathrm {km/s}\) 271 ± 95 km / s , respectively. In all cases, \(V_{\textrm{ph}}\) V ph < \(C_{\textrm{s}}\) C s , consistent with slow-mode waves. These results confirmed the presence of slow-mode waves in these three loops. Our study reveals simultaneous oscillations in intensity and temperature, with measurable phase differences, within post-flare coronal loops.