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<p>In this study, we examine a system of coupled particles governed by two distinct types of interacting forces: the harmonic force and the Morse force. The dimer is modelled to move within a double-well potential while being subjected to power-limited (PL) coloured noise. This type of noise has a constant variance property and a constant power spectrum. The escape rate of the dimer demonstrates a non-monotonic dependence with respect to the variations of correlation time, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation>, of the power-limited noise, suggesting the occurrence of the resonant activation phenomenon. The characteristic time-scale of the power-limited coloured noise together with the coupling constant, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\kappa \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation> of the dimer influence the hopping mechanism of the dimer, which plays an important role in the transport phenomenon. Thus, the overall escape rate of the dimer is attributed to the combined competitive effects of the coupling constant of the dimer, the intensity, <i>D</i> and the correlation time, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation> of the power-limited noise.</p>

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Escape dynamics of a dimer in a bistable potential: Power-Limited coloured noise

  • 期刊论文

  • 发表日期：

    2026年1月20日

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  • Esha Lyngdoh,
  • W L Reenbohn

摘要

In this study, we examine a system of coupled particles governed by two distinct types of interacting forces: the harmonic force and the Morse force. The dimer is modelled to move within a double-well potential while being subjected to power-limited (PL) coloured noise. This type of noise has a constant variance property and a constant power spectrum. The escape rate of the dimer demonstrates a non-monotonic dependence with respect to the variations of correlation time, \(\tau \) τ , of the power-limited noise, suggesting the occurrence of the resonant activation phenomenon. The characteristic time-scale of the power-limited coloured noise together with the coupling constant, \(\kappa \) κ of the dimer influence the hopping mechanism of the dimer, which plays an important role in the transport phenomenon. Thus, the overall escape rate of the dimer is attributed to the combined competitive effects of the coupling constant of the dimer, the intensity, D and the correlation time, \(\tau \) τ of the power-limited noise.