本計畫係為期二年（2019年8月至2021年7月）的基礎研究計畫，研究主題為「各向異性晶格系統的標度行為與時間序列的時間反轉不對稱性」，計畫以晶格模型為平台研究各向異性系統的臨界標度行為，及利用時間序列的反轉不對稱性探究複雜系統的支配方程。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之比熱溫度偏移指數與臨界相關長度指數標度行為2. 蛋白質之力致活化動力學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理論力學及臨界性質本計畫可望達成下列目標：1. 找出各向異性晶格系統標度行為的正確描述2. 建立以力致活化的奈米力學識別蛋白質功能局域的一般性理論 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。本計畫將有兩名博士生及兩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 (2019.8~2021.7) research project entitled “Scaling behaviors of anisotropic lattice systems and time-reversal asymmetry of time series”. The aim of this project is to study scaling behaviors of anisotropic system using lattice models, and to investigate the governing equation of complex systems by the use of time-reversal asymmetry of empirical time series. Specifically, this project plans to deal with the following problems: 1. Scaling behaviors of the specific heat temperature shift exponent and critical correlation-length exponent of the dimer model on anisotropic lattices2. Time-reversal asymmetry of the dynamics of protein mechanoactivation3. Theoretical mechanics corresponding to the properties of financial data and its critical properties using time-reversal asymmetry of empirical time seriesThis project will reach the following achievements:1. Effective descriptions for the scaling behaviors of anisotropic lattice systems2. A general theory for identifying protein functional domains from nanomechanics of mechanoactivation3. Better understanding to the properties of financial data and its characteristic modes, and developing its mechanical correspondenceOur research results will provide useful references for fundamental researches of related fields. Two PhD students 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.
