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<p>This study investigates the design, fabrication, and characterization of two-terminal fractional capacitors (FCs) with orders exceeding 0.35 and exceptional thermal stability. To achieve this, a nanocomposite of carbon nanotubes and AD-SiO₂ nanoparticles dispersed in epoxy is used as a dielectric. The devices exhibit fractional orders (0.3 &lt; <i>α</i> &lt; 0.85) and maintain stable fractance from − 15&#xa0;°C to 136&#xa0;°C, far exceeding the thermal limits of CNT-only FCs (− 15&#xa0;°C to 40&#xa0;°C) and those of capacitors reported in the GM-tube literature. This FC (<i>α</i> = 0.85, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({C}_{\alpha }=84\text{\hspace{0.17em}}\mu {\text{Fs}}^{1-\alpha }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>C</mi> <mi>α</mi> </msub> <mo>=</mo> <mn>84</mn> <mspace width="1.69998pt" /> <mi>μ</mi> <msup> <mrow> <mtext>Fs</mtext> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <mi>α</mi> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>) showed full-range impedance stability, marking it as the first high-temperature FC for radiation instrumentation. Modeling and experiments confirm strong correlations between material composition and electrical behavior. In addition, this FC, integrated into a GM preamplifier yields a stable cutoff frequency <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\omega }_{c}=(1/R{C}_{\alpha }{)}^{1/\alpha }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>ω</mi> <mi>c</mi> </msub> <mrow> <mo>=</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo stretchy="false">/</mo> <mi>R</mi> </mrow> <msub> <mi>C</mi> <mi>α</mi> </msub> <msup> <mrow> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>1</mn> <mo stretchy="false">/</mo> <mi>α</mi> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> from 25 to 125&#xa0;°C, achieving noise suppression unattainable with conventional RC filters. Further, it introduces the first fractional-order GM-tube model linked to ion-drift memory through Mittag–Leffler dynamics. By unifying high-temperature FO devices, a physically grounded GM model, and thermally robust FO filtering, this study establishes FCs as reliable components for nuclear and high-temperature applications.</p>

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CNT and SiO2 nanomaterial-based 135ºC thermostable fractional capacitors (α > 0.3) for radiation detection in nuclear power plant

  • 期刊论文

  • 发表日期：

    2026年3月6日

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  • Arya Suman Pattnaik,
  • Sumit Swain,
  • Madhab Chandra Tripathy

摘要

This study investigates the design, fabrication, and characterization of two-terminal fractional capacitors (FCs) with orders exceeding 0.35 and exceptional thermal stability. To achieve this, a nanocomposite of carbon nanotubes and AD-SiO₂ nanoparticles dispersed in epoxy is used as a dielectric. The devices exhibit fractional orders (0.3 < α < 0.85) and maintain stable fractance from − 15 °C to 136 °C, far exceeding the thermal limits of CNT-only FCs (− 15 °C to 40 °C) and those of capacitors reported in the GM-tube literature. This FC (α = 0.85, \({C}_{\alpha }=84\text{\hspace{0.17em}}\mu {\text{Fs}}^{1-\alpha }\) C α = 84 μ Fs 1 - α ) showed full-range impedance stability, marking it as the first high-temperature FC for radiation instrumentation. Modeling and experiments confirm strong correlations between material composition and electrical behavior. In addition, this FC, integrated into a GM preamplifier yields a stable cutoff frequency \({\omega }_{c}=(1/R{C}_{\alpha }{)}^{1/\alpha }\) ω c = ( 1 / R C α ) 1 / α from 25 to 125 °C, achieving noise suppression unattainable with conventional RC filters. Further, it introduces the first fractional-order GM-tube model linked to ion-drift memory through Mittag–Leffler dynamics. By unifying high-temperature FO devices, a physically grounded GM model, and thermally robust FO filtering, this study establishes FCs as reliable components for nuclear and high-temperature applications.