{"title":"可逆方程的不可逆性","authors":"H. Ezawa, Koich Nakamura, Keiji Watanabe","doi":"10.1201/9781003078296-7","DOIUrl":null,"url":null,"abstract":"After a discussion on the state of local equilibrium with temperature inhomogeneity, comparing mixture state reprsentation in statistical mechanics and pure state representation in thermo field dynamics, a simple model is solved to show that a reversible equation of motion with the initial condition having inhomogeneous temperature can lead to irreversible, viz. diffusive, behaviour. Yet, the solution is time symmetric exhibiting diffusion both towards future and past.","PeriodicalId":409936,"journal":{"name":"Mathematical Methods of Quantum Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Irreversibility from a Reversible Equation\",\"authors\":\"H. Ezawa, Koich Nakamura, Keiji Watanabe\",\"doi\":\"10.1201/9781003078296-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"After a discussion on the state of local equilibrium with temperature inhomogeneity, comparing mixture state reprsentation in statistical mechanics and pure state representation in thermo field dynamics, a simple model is solved to show that a reversible equation of motion with the initial condition having inhomogeneous temperature can lead to irreversible, viz. diffusive, behaviour. Yet, the solution is time symmetric exhibiting diffusion both towards future and past.\",\"PeriodicalId\":409936,\"journal\":{\"name\":\"Mathematical Methods of Quantum Physics\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Methods of Quantum Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781003078296-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Methods of Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781003078296-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
After a discussion on the state of local equilibrium with temperature inhomogeneity, comparing mixture state reprsentation in statistical mechanics and pure state representation in thermo field dynamics, a simple model is solved to show that a reversible equation of motion with the initial condition having inhomogeneous temperature can lead to irreversible, viz. diffusive, behaviour. Yet, the solution is time symmetric exhibiting diffusion both towards future and past.
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