{"title":"非平衡松弛:老化和有限尺寸效应","authors":"M. Henkel","doi":"10.5488/CMP.26.13501","DOIUrl":null,"url":null,"abstract":"The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through the exact solution of the kinetic spherical model, quenched to below the critical temperature, in 2< d < 4 dimensions.","PeriodicalId":10528,"journal":{"name":"Condensed Matter Physics","volume":"3 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Non-equilibrium relaxations: ageing and finite-size effects\",\"authors\":\"M. Henkel\",\"doi\":\"10.5488/CMP.26.13501\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through the exact solution of the kinetic spherical model, quenched to below the critical temperature, in 2< d < 4 dimensions.\",\"PeriodicalId\":10528,\"journal\":{\"name\":\"Condensed Matter Physics\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-11-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Condensed Matter Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.5488/CMP.26.13501\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Condensed Matter Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5488/CMP.26.13501","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
摘要
在有限尺寸的几何结构中，研究了自旋-自旋相关器在经历相序动力学的慢弛豫系统中的长时间行为。通过动力学球面模型的精确解，在2< d < 4维中淬火至临界温度以下，建立了一个有限尺寸的现象学尺度分析模型并对其进行了测试。
Non-equilibrium relaxations: ageing and finite-size effects
The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through the exact solution of the kinetic spherical model, quenched to below the critical temperature, in 2< d < 4 dimensions.
期刊介绍：
Condensed Matter Physics contains original and review articles in the field of statistical mechanics and thermodynamics of equilibrium and nonequilibrium processes, relativistic mechanics of interacting particle systems.The main attention is paid to physics of solid, liquid and amorphous systems, phase equilibria and phase transitions, thermal, structural, electric, magnetic and optical properties of condensed matter. Condensed Matter Physics is published quarterly.
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