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<p>This work investigates a field theory for RNA-like polymers with periodic base sequence GCGCG..., where only single-strands aligned in the same direction form double strands. The field theory is derived from a lattice model that incorporates excluded volume effects, base sequence, and temperature dependent denaturation - renaturation. The artificial directionality leads to a novel universality class, not related to conventional branched polymers and Lee-Yang field theory. This universality class is unstable against natural pairing, where oppositely aligned single-strands form double strands. Near the upper critical dimension <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10955_2025_3477_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">\(d=6\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>d</mi> <mo>=</mo> <mn>6</mn> </mrow> </math></EquationSource> </InlineEquation> the denaturation - renaturation transition is a continuous crossover between two <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10955_2025_3477_Article_IEq2.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi _{n=0}^{4}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>φ</mi> <mrow> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mrow> <mn>4</mn> </msubsup> </math></EquationSource> </InlineEquation> critical points and the critical point of the new universality class. However, the behavior for <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10955_2025_3477_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(d\le 5\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>d</mi> <mo>≤</mo> <mn>5</mn> </mrow> </math></EquationSource> </InlineEquation> remains unclear.</p>

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Pseudo-RNA with parallel aligned single-strands and periodic base sequence as a new universality class

  • 期刊论文

  • 发表日期：

    2025年7月8日

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  • Richard Dengler

摘要

This work investigates a field theory for RNA-like polymers with periodic base sequence GCGCG..., where only single-strands aligned in the same direction form double strands. The field theory is derived from a lattice model that incorporates excluded volume effects, base sequence, and temperature dependent denaturation - renaturation. The artificial directionality leads to a novel universality class, not related to conventional branched polymers and Lee-Yang field theory. This universality class is unstable against natural pairing, where oppositely aligned single-strands form double strands. Near the upper critical dimension \(d=6\) d = 6 the denaturation - renaturation transition is a continuous crossover between two \(\varphi _{n=0}^{4}\) φ n = 0 4 critical points and the critical point of the new universality class. However, the behavior for \(d\le 5\) d ≤ 5 remains unclear.