statistical mechanics

statistical mechanics

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時間:2018-07-26

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1、Statisticalmechanics:AselectivereviewoftwocentralissuesJoelL.Lebowitz*DepartmentsofMathematicsandPhysics,Rutgers,TheStateUniversityofNewJersey,Piscataway,NewJersey08854-8019Igiveahighlyselectiveoverviewofthewaystatisticalmechanicsexplainsthemicroscopicoriginsofthetime-asymmetricevolution

2、ofmacroscopicsystemstowardsequilibriumandof?rst-orderphasetransitionsinequilibrium.Thesephenomenaareemergentcollectivepropertiesnotdiscernibleinthebehaviorofindividualatoms.Theyaregivenpreciseandelegantmathematicalformulationswhentheratiobetweenmacroscopicandmicroscopicscalesbecomesveryl

3、arge.[S0034-6861(99)03402-9]I.INTRODUCTIONditiveeffectsoftheactionsofindividualatoms,e.g.,thepressureexertedbyagasonthewallsofitscontainer,Naturehasahierarchicalstructure,withtime,length,whileothersareparadigmsofemergentbehavior,hav-andenergyscalesrangingfromthesubmicroscopictoingnodirec

4、tcounterpartinthepropertiesordynamicsthesupergalactic.Surprisingly,itispossible,andinofindividualatoms.Particularlyfascinatingandimpor-manycasesessential,todiscusstheselevelstantexamplesofsuchemergentphenomenaaretheir-independentlyDquarksareirrelevantforunderstandingreversibleapproachtoe

5、quilibriumandphasetransitionsproteinfoldingandatomsareadistractionwhenstudy-inequilibrium.Bothofthesewould(orshould)beas-ingoceancurrents.Nevertheless,itisacentrallessonoftonishingiftheywerenotsofamiliar.Theirmicroscopicscience,verysuccessfulinthepastthree-hundredyears,derivationandanaly

6、sisformsthecoreofstatisticalme-thattherearenonewfundamentallaws,onlynewphe-chanics.Iwilldiscussthe?rstoftheseinSec.IIandthenomena,asonegoesupthehierarchy.ThusarrowsofsecondinSec.III.explanationsbetweendifferentlevelsalwayspointfromForamoregeneralsurveyofstatisticalmechanicsinsmallertolar

7、gerscales,althoughtheoriginofhigher-thepasthundredyears,thereaderisreferredtothelevelphenomenainthemorefundamentallower-levelotherarticlesinthissectionaswellastomyarticleinlawsisoftenveryfarfromtransparent.(Inadditionthespecialvolumecelebratingthe?rst-hundredyearsofsomeof

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