Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scali...Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scaling and universality,the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic,coarse-grained Landau-Ginzburg theory.Here we apply this theory to a microscopic model-the paradigmatic Ising model,which undergoes FOPTs between two ordered phases below its critical temperature-and unambiguously demonstrate universal scaling behavior in such FOPTs.These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior.展开更多
Seasonal human mobility plays a crucial role in economic growth,labor market dynamics,and public health management.Traditional mobility models often rely on geographic distance,which fails to capture the influence of ...Seasonal human mobility plays a crucial role in economic growth,labor market dynamics,and public health management.Traditional mobility models often rely on geographic distance,which fails to capture the influence of destination popularity,such as family gatherings or economic opportunities.To address this,we introduce the effective intervening opportunity(EIO)model,which replaces geographic distance with a more accurate“effective distance”that integrates both destination appeal and proximity.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12175316).
文摘Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scaling and universality,the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic,coarse-grained Landau-Ginzburg theory.Here we apply this theory to a microscopic model-the paradigmatic Ising model,which undergoes FOPTs between two ordered phases below its critical temperature-and unambiguously demonstrate universal scaling behavior in such FOPTs.These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior.
基金supported by the National Natural Science Foundation of China(42525101,42130402,and 42306244)the Shenzhen Science and Technology Innovation Program(JCYJ20220818100810024,KQTD20221101093604016,and KJZD20230923114911022)+1 种基金the Guangdong Basic and Applied Basic Research Foundation(2024A1515011964)the Shenzhen Philosophy and Social Science Foundation(SZ2024B025).
文摘Seasonal human mobility plays a crucial role in economic growth,labor market dynamics,and public health management.Traditional mobility models often rely on geographic distance,which fails to capture the influence of destination popularity,such as family gatherings or economic opportunities.To address this,we introduce the effective intervening opportunity(EIO)model,which replaces geographic distance with a more accurate“effective distance”that integrates both destination appeal and proximity.
