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F Should we expect C<0 in the LG phase transition? (I)

F Should we expect C<0 in the LG phase transition? (I). uncharged nuclear matter belongs to the LG universality class with V as an order parameter. V order parameter. bimodal V distribution at T trans. K.C.Lee PRE 53(1996)6558 Ph.Chomaz et al Physica A (2003). correlation

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F Should we expect C<0 in the LG phase transition? (I)

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  1. F Should we expect C<0 in the LG phase transition? (I) • uncharged nuclear matter belongs to the LG universality class with V as an order parameter V order parameter bimodal V distribution at Ttrans K.C.Lee PRE 53(1996)6558 Ph.Chomaz et al Physica A (2003) correlation between E and V bimodal E distribution at Ttrans negative microcanonical heat capacity PTtrans(E) W(E)

  2. with sharp boundary without Energy F Should we expect C<0 in the LG phase transition? (II) is E an order parameter ? • correlation between volume • and energy: a bimodal density • distribution implies a bimodal • energy distribution • E is an order parameter if and • only if volume can fluctuate • Illustration: lattice gas model Ph.Chomaz et al. Lecture Notes in Physics 602 Springer (2002)

  3. F F.Gulminelli et al. PRL91 (2003)202701 q=0 coulomb energy q=e q=e q=0 total energy Fragmentation of charged nuclei versus LG Etot = En+ Ec Vc=S1/rij Ec=q2Vc En=a2Vn q = e charged q = 0 uncharged p(Vn,Vc)  W(Vn,Vc) exp(-b(Vn+q2Vc)) • phase transition: concavity anomaly in W • electric charge: reweighting of the same • entropy surface it is the same • transition but • lowering of Ttrans • rotation in the observable space

  4. F Fragmentation of charged nuclei versus LG F.Gulminelli et al. PRL91 (2003)202701 • heavily charged • En equilibrated with Ec • cross over

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