AI 中文总结
该综述探讨生物物理学中两个相关现象，一是大分子非热平衡下弗罗利希声子凝聚类似物及长程共振电动力激活，通过TDVP等方法研究；二是相关模型应用于DNA - 蛋白质，结果支持代谢能量驱动大分子至相干振荡状态并激活相关电动力的观点。
AI 中文摘要
我们综述了一个理论和实验项目，涉及生物物理学中两个密切相关的现象：大分子中弗罗利希声子凝聚在非热平衡下的经典类似物，以及由此产生的长程共振电动力学分子间相互作用的激活。首先通过将含时变分原理（TDVP）应用于量子吴 - 奥斯汀模型获得完全经典的哈密顿量，其非线性速率方程显示非平衡相变。第二个基于两个耦合振荡偶极子的经典电动力学哈密顿量，其正常模式预测长程（1/r³）共振相互作用。我们还讨论了如何将弗罗利希速率方程直接与哈密顿方程联系起来，阐明浴介导的非线性耦合的作用和室温下强凝聚的条件。此外，TDVP应用于描述沿特定DNA序列及其同源限制酶EcoRI的电子 - 声子动力学的达维多夫 - 霍尔斯坦 - 弗罗利希模型。所得电子电流的时域傅里叶交叉谱显示了典型识别序列的尖锐共共振峰，随机化后消失，提供了DNA - 蛋白质的序列特异性电动力学特征。来自太赫兹近场光谱、荧光相关光谱和直接蛋白质聚类的证据也被综述。这些结果共同支持了代谢能量可将大分子驱动到相干振荡状态，激活与生物体内生化组织相关的选择性长程电动力的观点。
英文摘要
We review a theoretical and experimental programme addressing two closely related phenomena in biophysics: the classical analogue of Fröhlich phonon condensation in macromolecules driven out of thermal equilibrium, and the resulting activation of long-range resonant electrodynamic intermolecular forces.The first is obtained by applying the time-dependent variational principle (TDVP) to the quantum Wu-Austin model,yielding a fully classical Hamiltonian in action-angle variables whose nonlinear rate equations display a nonequilibrium phase transition: supplied energy is channelled into the lowest-frequency collective mode. The second is based on a classical electrodynamic Hamiltonian for two coupled oscillating dipoles, whose normal modes predict long-range (1/r^3) resonant interactions. These are absent at thermal equilibrium but emerge under out-of-equilibrium coherent oscillations.We also discuss how to link Fröhlich rate equations directly to Hamilton equations, clarifying the role of bath-mediated nonlinear couplings and the conditions for strong condensation at room temperature.In addition, TDVP is applied to a Davydov-Holstein-Fröhlich model describing electron-phonon dynamics along a specific DNA sequence and its cognate restriction enzyme EcoRI. The time-domain Fourier cross-spectrum of the resulting electron currents shows a sharp co-resonance peak for the canonical recognition sequence, which disappears under randomisation, providing a sequence-specific electrodynamic signature of DNA-protein recognition.Experimental evidence from THz near-field spectroscopy, fluorescence correlation spectroscopy, and direct protein clustering is reviewed. Together these results support the view that metabolic energy can drive macromolecules into coherent oscillatory states, activating selective long-range electrodynamic forces relevant to biochemical organisation in living matter.
Comments38 pages, 14 fugures
