Date :

 05 September 2008

Place :

 Room 312, Department of Physics, National Taiwan University, Taipei

 National Center for Theoretical Sciences (Critical Phenomena and Complex Systems Focus Group)

 Institute of Physics of Academia Sinica (Taipei)

 Department of Physics, National Taiwan university (Taipei)

  Miss Chia-Chi Liu (Secretary, Physics Division, NCTS)
 Tel:(886)-2-33665566; Fax:(886)-2-33665565; E-mail: ccliu@phys.ntu.edu.tw

 Miss Shu-Min Yang (Assistant of LSCP, Institute of Physics, Academia Sinica)

 Tel: (886)-2-2782-2467, or (886)-2-27880058 ext. 6012; FAX: (886)-2-2782-2467; E-mail: shumin@phys.sinica.edu.tw

Speakers :

Prof. Shu-Chiuan Chang
Department of Physics, National Cheng-Kung University, TAIWAN
E-mail: scchang@mail.ncku.edu.tw

Potts Model Partition Functions for Strips of the Honeycomb Lattice

    We present exact calculations of the Potts model partition function Z(G,q,v)  for arbitrary q and temperature-like variable v on strip graphs G of the honeycomb lattice for a variety of transverse widths equal to Ly vertices and for arbitrarily great length, with free longitudinal boundary conditions and free and periodic transverse boundary conditions. We obtain general formulas for the sizes of the transfer matrices for arbitrary Ly with these boundary conditions, and give plots of zeros of the partition function in the q plane for various values of v and in the v plane for various values of q. Plots of specific heat for infinite-length strips are also presented, and, in particular, the behavior of the Potts antiferromagnet at q=(3+√5)/2 is investigated.

    (This research was partially supported by the NSC grant NSC-95-2112-M-006-004 and NSC-95-2119-M-002-001)

Dr. N.Sh. Izmailian
Yerevan Physics Institute, ARMENIA
E-mail: izmailan@phys.sinica.edu.tw

Boundary Conditions and Amplitude Ratios for Finite-Size Corrections of A One Dimensional Quantum Spin Model

    Influence of the boundary conditions on the finite-size corrections of the one-dimensional (1D) quantum Ising model is analyzed by exact and perturbation theoretic arguments. In this paper we present exact calculations for a new set of universal
amplitude ratios in the finite-size correction terms for the 1D quantum Ising model on a finite width strip with free and antiperiodic boundary conditions. The results are in perfect agreement with a perturbated conformal field theory scenario proposed by Cardy [Nucl. Phys. B 270, 186 (1986)].

Prof. A. K. Kolakowska

Department of Phys. and Space Sci., Florida Institute of Technology, USA

E-mail: alice@kolakowska.us

1. Multicomponent Nonequilibrium Surface Growth Models and Dynamics of Distributed Parallel Simulations

    A commonly accepted fact today is that simple atomistic simulations of surface growth phenomena are often not adequate
to reproduce the complex physics of applied models. This created the need for a new generation of models that would combine in simulations two or possibly more contributing processes. One example of this situation comes from a newly emerging interdisciplinary zone at the border of surface science and computer science, where the dynamics of updates in parallel and distributed systems is modeled as a virtual-time interface. In this seminar I will outline the way in which nonequilibrium surface-growth methods can provide for a better algorithm design for large-scale dynamic Monte Carlo simulations in a parallel computing environment. In this context of "simulating the simulations" the issue of multicomponent nonlinear dynamics naturally arises.

2. New Science of Complex Networks: Random Resistive Networks

    Statistical mechanics offers new insights to such diverse complex systems as social interaction networks, internet communication systems, and randomly-formed electric circuits. This seminar reviews key concepts in the field of complex networks, focusing on random electric circuits with "small-world" property.

Prof. Yevgeni Mamasakhlisov

Department of Molecular Physics, Yerevan State University, ARMENIAN

E-mail: y.mamasakhlisov@gmail.com

One- and Quasi-One-Dimensional Models of Conformational Transitions in Biological Macromolecules

Dr. D. B. Saakian
Yerevan Physics Institute, ARMENIA
E-mail: saakian@mail.yerphi.am

1. Finite Size Corrections to Mean Fitness and Population Distribution in Evolution Models
2. Selection via Flatness and Finite Population Problems in Evolution

Miss Da-Lun Tseng

Institute of Physics, Academia Sinica, TAIWAN

E-mail: dltseng@phys.sinica.edu.tw

Population Genetics Model on Meiotic Recombination