相变和晶体对称性

图书标准信息

• 作者 [俄罗斯]伊尔莫夫 著
• 出版社 科学出版社
• 出版时间 2009-01
• 版次 1
• ISBN 9787030238214
• 定价 89.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 443页
• 字数 560千字
• 正文语种 简体中文

【内容简介】

　　TreatsphasetransitiontheoryandtheanalysisofphasetransitionsintermsofbothLandautheoryandfluctuationtheory,withparticularattentiongiventocrystalsandquasicrystals．Alsoincludedisanoverviewofcolorsymmetryapplicationsinphasetransitiontheory．Aseparatechapterisdevotedtomartensitetransitionsandthisincludesananalysisofsolitonsolutionsofnonlinearequationsofelasticity．RevisedandexpandedtranslationfromtheRussianeditionof1984．

【目录】

Contents
Preface
PrefacetotheEnglishEdition
Notation
Chapter1.IntroductiontoPhenomenologicalPhaseTransitionTheory
1.FundamentalsofLandau’SThermodynamicTheory
Elementarythermodynamicanalysis
Spontaneoussymmetry
breakingatacontinuousphasetransition
TheLandaucondi—tionforasecond．orderphasetransition
FurtherdevelopmentofLandau’Stheory
2.PrerequisitesonSpace-groupRepresentations
Space-groupirreduciblerepresentations
Irreduciblerepresenta-tionsandtheirdecomposition
ReferenCes

Chapter2.PhysicalRealizationoftheOrderParametersataMicroscopicLevelofDescription
3.TensorRepresentationoftheSpaceGrouponaBasisofLocalizedAtomicFunctions
Constructingcrystalspacegroupreduciblerepresentations(20)．
Thestabilizermethod
Constructingbasisfunctionsforstararms
4.PermutationalRepresentationanditsBasis
Asummaryofformulas(2s)．
TheOPfororderinginABtypealloys
TheOPfororderinginNb—HandTa-Hhydrides
5.VectorRepresentationanditsBasis
Asummaryofformulas
TheOPatastructuralphasetransitioninA一15compounds
TheOPatastructuralphasetransitioninC一15compounds
6.PseudovectorRepresentationanditsBasis
Adescriptionofthemagneticallyorderedstate
TheOPatamagneticphasetransitioninagarnet
References

Chapter3.SymmetryChangeatPhaseTransitions
7.ChangeillTranslationalSymmetry
TheBrillouinzoneandthesymmetricpointsinit
Armmixing
andthetransitionchannel
Magneticlattices
8.TheTotaiSymmetryChange
Principlesforfindingthesymmetrygroupofanewphase(74)．
Anexampleofagroup．theoreticmethodofsearchingfordissymmetricphases(77)．
9.Domains
DomainsasaconsequenceoftheCurieprinciple
Asymmetryclassificationofdomains
Arm，orientationalandantiphasedomains
Examplesofananalysisofthedomainstructure
10.TheParaphase
Theinitialphaseandtheparaphase
Majorcriteriaforpara-phasesearch
Anexampleofchoosingtheparaphase
Refetences

Chapter4.AnalysisoftheThermodynamicPotential
11.InvariantExpressionsoftheThermodynamicPotentia
Astraightforward(direct)methodofconstructingpolynomialinvari—ants
Constructingthe＆forthestructuralphasetransitioninC一15compounds
Constructingthe＠forthestructuralphasetransitioninA-15compounds
12.IntegralRationalBasisofInvariants
Genera]remarks(104)．TheHRBIconstruetionalgorithm
Solv—abilityofthegroupandtheminimalIRBI
13.ExamplesoftheConstructionofanIRBI
ConstructingtheIRBIforthestructuraltransitioninC-15cornpounds
ConstructionoftheIRBIforthestructuraltransitioninA．15compounds
ConstructingtheIRBIforthestructuraltransitioninMnAs
……
Chapter6.MacroscopicOrderParameters
Chapter7.PhaseTransitionsinanExternalField
Chapter8.MartensiteTransformations
Chapter9.IncommensuratePeriodicityPhases
Chapter10.ColorSymmetryanditsRoleinPhaseTransitionTheory
Chapter11.FluctuationsandSymmetry
Rcfcrences
Appendix
Index