AI 中文总结
研究具有退火和淬火贴纸无序的缔合聚合物，通过扩展场论方案给出模型精确公式并在平均场水平求解，得到不同自由能泛函，为涨落修正提供起点。
AI 中文摘要
我们为缔合聚合物溶液开发了一种密度泛函理论，其中带电单体（贴纸）之间的吸引力由局部二元自由度表示，这些自由度沿链随机分布。将原始的Garel和Orland用于单链系统的场论方案扩展到相互作用链的系综，我们给出了电荷退火和淬火分布两种情况下模型的精确公式，并在平均场水平上求解。解产生了定性不同的自由能泛函。在退火情况下，该理论自然产生用于键合贴纸单体分数的非平凡标量序参量以及鞍点处的自洽质量作用定律。相比之下，在淬火情况下，没有出现独立的键合序参量，主要影响是有效两体和三体相互作用参数的重整化。该公式在哈密顿量水平上是微观的，并且在相同的场论框架内，为超出平均场近似的涨落修正提供了系统的起点。
英文摘要
We develop a density-functional theory for solutions of associating polymers where attractions among charged monomers (stickers) are represented by local binary degrees of freedom, which are randomly placed along the chains. Extending the original Garel and Orland's field-theoretic scheme for single-chain systems to an ensemble of interacting chains, we give the exact formulations of the model in both cases of annealed and quenched distributions of charges which we solve at the mean-field level. The solution produces qualitatively different free energy functionals. In the annealed case, the theory naturally yields a nontrivial scalar order parameter for the fraction of bonded sticker monomers and a self-consistent mass-action law at the saddle point. By contrast, in the quenched case no independent bonding order parameter emerges and the main effect is a renormalization of the effective two-body and three-body interaction parameters. The formulation is microscopic at the Hamiltonian level and, within the same field-theoretic framework, provides a systematic starting point for fluctuation corrections beyond the mean-field approximation.
Comments15 pages, 4 figures, submitted for publication
