本計畫係為期兩年（2020年8月至2022年7月）的基礎研究計畫，研究主題為「各向異性晶格的標度函數與經驗時間序列的時間反轉不對稱性」，計畫以晶格模型為平台，建構各向異性系統標度函數的一般性理論，及利用時間反轉不對稱性檢驗複雜系統經驗時間序列描述的物理機制。本計畫擬探討下列具體問題：1. 雙子模型在各向異性晶格系統的標度函數2. 特徵化蛋白質力致活化之離子對時間序列的時間反轉不對稱性3. 以經驗時間序列的反轉不對稱性探討對應於金融系統數據特性的力學模型及臨界行為本計畫可望達成下列目標：1. 建構各向異性晶格系統標度函數的一般性理論2. 建立以力致活化的奈米力學識別蛋白質功能局域的方法 3. 了解金融時間序列的性質、特徵模式，及建立對應的力學理論本計畫的研究成果對相關領域的基礎研究具有應用與參考價值。本計畫將有一名博士生及一名碩士生參與上述具體問題；計畫執行期間可望每年在SCI期刊發表研究論文。 ;This is a two-year-term (2020.8~2022.7) research project entitled “Scaling functions for anisotropic lattices and time-reversal asymmetry of empirical time series”. The aim of this project is to develop a general theory of scaling function for anisotropic systems using lattice models, and to study physical mechanisms depicted by complex-systems empirical time series using time-reversal asymmetry. Specifically, this project plans to deal with the following problems: 1. Scaling functions for the dimer model on anisotropic lattices2. Time-reversal asymmetry revealed in the ion-pair dynamics of protein mechanoactivation3. Mechanical models corresponding to the properties of empirical financial time-sequence data and its critical behaviors using time-reversal asymmetryThis project will reach the following achievements:1. A general theory for the scaling functions of anisotropic lattice systems2. Practical approaches for identifying protein functional domains using nanomechanics of mechanoactivation3. Better understanding to the properties of financial data and its characteristic modes, and development of its mechanical correspondenceOur research results will provide useful references for fundamental researches of related fields. One PhD student and one Master student will involve in this project and join the study of the above-mentioned research problems. A number of research papers can be published in SCI Journals every year, based on the results of this project.
