Date :

 13,14, and 16 May 2005

Place :

 Room 312, Department of Physics, National Taiwan University

Abstracts :

 13 May (Friday) 

9:30-10:30

Theory of resistor networks

Fa-Yueh Wu (Northeastern University, Boston; E-mail: fywu@lepton.neu.edu )

10:50-11:40

Dimer model on the square lattice and c=-2 conformal field theory

Nickolay Izmailian (NCTS & Academia Sinica; E-mail: izmailan@phys.sinica.edu.tw )

The random cluster model and a new integration identity

Lung-Chi Chen (Academia Sinica; E-mail: lonkey@math.sinica.edu.tw )

12:10-14:00

Lunch Break and Discussion

Analytic solution for finite Onsager lattice with twisted boundary condition

Ming-Chang Huang (Chung-Yuan Christian Univ.; E-mail: ming@phys.cycu.edu.tw )

Tea Break

Numerical simulations of critical dynamics far from equilibrium

Bo Zheng (Zhejiang University, Hangzhou; E-mail: bozheng@zju.edu.cn )

In this talk, we briefly review Monte Carlo simulations and numerical solutions of critical dynamics far from equilibrium [1-7]. We demonstrate that there exists a universal dynamic scaling behavior already in the macroscopic short-time regime of the dynamic evolution around a second-order phase transitions, after a microscopic time scale t_mic. Based on the dynamic scaling form, a dynamic approach is developed for the numerical measurements of both the dynamic and static critical exponents as well as the critical temperature. The method does not suffer from critical slowing down, carries the feature of predicting the future, and it can be applied and extended to a variety of statistical systems. Special attention is put on our recent progress in Kosterlitz-Thouless phase transitions, dynamic systems with quenched disorder and nonequilibrium reweighting methods [8-9] etc.
 
The contents
The short-time dynamic scaling form
Application to second-order phase transitions
Kosterlitz-Thouless phase transitions and disordered systems
Weak first-order phase transitions
Non-equilibrium reweighting methods
Related topics
 
References
[1]  Z.B. Li, L. Schülke and B. Zheng, Phys. Rev. Lett., 74 (1995), 3396.

[2]  H.J. Luo, L. Schülke and B. Zheng, Phys. Rev. Lett., 81 (1998), 180.

[3]  B. Zheng, M. Schulz and S. Trimper, Phys. Rev. Lett., 82 (1999), 1891.

[4]  B. Zheng, M. Schulz and S. Trimper, Phys. Rev., E59 (1999), R1351.

[5]  L. Schülke and B. Zheng, Phys. Rev., E62 (2000), 7482.

[6]  B. Zheng, F. Ren and H. Ren, Phys. Rev., E68 (2003), 046120.

[7]  J.Q. Yin, B. Zheng and S. Trimper, Phys.  Rev., E70 (2004),056134.

[8]  H.K. Lee and Y. Okabe, Phys. Rev., E71 (2005), 015102 (R).
[9] J.Q. Yin, B. Zheng and S. Trimper, Dynamic  Monte Carlo simulations of the three-dimensional random-

     bond Potts  model, preprint.

Tea Break

Probing nano-scale structures of SmC* variant phases by resonant x-ray diffraction and optical probes

Cheng Cher Huang (Univ. of Minnesota; E-mail: huang001@tc.umn.edu )

14 May (Saturday)

9:20-10:10

General introduction to influenza

Chung-Fan Lee (National Taiwan Univ.; E-mail: cf@mail.nhri.org.tw )

10:20-11:10

Statistical properties of human brain electroencephalogram

Bo Zheng (Zhejiang University, Hangzhou; E-mail: bozheng@zju.edu.cn )

With concepts and methods of statistical physics, we investigate statistical properties of the human brain electroencephalogram [1-2]. A filtering technique is introduced to study the effect of the a and b oscillations. The probability distribution of electroencephalogram signals is found to be non-Gaussian, exhibiting a power-law tail and a dynamic scaling behavior. Through calculating auto-correlation functions and persistence probabilities, and with the detrended fluctuation analysis, the long-range temporal correlation is revealed. Certain effects of the Alzheimer's disease are observed.
 
To close these talks, we may briefly report our quantum Monte Carlo simulations of one-dimensional mixed-spin chains with cluster algorithms, and a local control of the 2D spiral turbulence in cardiac muscle [3-4] etc.
 
References
[1]  C.P. Pan, B. Zheng, Y.Z. Wu et al, Phys. Lett., A329 (2004), 130.

[2]  J.W. Yuang, B. Zheng el al, Statistical properties of Human Brain Electroencephalogram, preprint.

[3]  Z.X. Xu, J.H. Dai, H.P. Ying and B. Zheng,  Phys. Rev., B67 (2003), 214426.

[4]  H. Zhang, B.B. Hu, and G. Hu, Phys. Rev., E68 (2003), 026134.

[5]  Y.Q. Fu, H. Zhang, B. Zheng etc., preprint.
　

11:10-11:20

Study of the Protein-protein interaction networks via Random Graph Approach

Po-Han Lee (Affiliated Senior High School of NTNU; E-mail: leepohan@ms17.hinet.net )

Lunch Break and General Discussion on Future Academic Activities

Catalytic dynamics of Escherichia coli Thioesterase/Protease I

Jung-Hsin Lin (Natl. Taiwan Univ.; E-mail: jlin@ha.mc.ntu.edu.tw )

Tea Break

Kinetic and thermodynamic studies of the peptide Trp-Cage by parallel-tempering simulation

Jia-Lin Lo (Natl. Central Univ.; E-mail: jl.lo@msa.hinet.net )

Tea Break

Application of Wang-Landau algorithm to Monte Carlo simulation of proteins

Ruben Ghulghazaryan (Academia Sinica, E-mail: ghulr@phys.sinica.edu.tw )

Structure regularization algorithms for SMMP package

Shura Hayryan (Academia Sinica; E-mail: shura@phys.sinica.edu.tw )

16 May (Monday)

9:20-10:10

The odd eight-vertex model and applications

Fa-Yueh Wu (Northeastern University, Boston; E-mail: fywu@lepton.neu.edu )

10:20-10:45

Antiferromagnetic three-state Potts phase transition in a coupled XY model

Chia-Chi Shih (Natl. Sun Yat-sen Univ.; E-mail: d8923804@student.nsysu.edu.tw )

We study an antiferromagnetic coupled XY model on triangular lattices in two dimensions. The Monte Carlo simulation reveals a unique antiferromagnetic three-state Potts phase transition in addition to an original XY phase transition. Analyzing the spin histograms exposes that the strong on-site coupling tends to lock the difference between the phase variables of the two XY order parameters and generates the unique phase transition, which is first-order. At ground state, the spin helicity reveals a staggered pattern. As the system passes through the antiferromagnetic three-state Potts transition, the staggered helicity disappears. The phase transition in the model includes both continuous and discrete symmetries in some coupling parameter domain.

Conformation-networks for different move sets in two-dimensional lattice model

Yu-Pin Luo (Chung-Yuan Christian Univ.; E-mail: pin@phys.cycu.edu.tw )

11:10-11:20

Analysis of financial data by Hilbert-Huang method

Ming-Chya Wu (Academia Sinica; E-mail: mcwu@phys.sinica.edu.tw )

Lunch Break and Discussion

Algebraic invariants of multipartite quantum Systems

Zheng-Yao Su (NCHPC, Hsinchu; E-mail: zsu@nchc.gov.tw )

Network topologies and consumption externality

Shu-Heng Chen (National Chengchi Univ.; E-mail: chchen@nccu.edu.tw )

Tea Break

Phenomenological study and numerical simulations of financial dynamics

Bo Zheng (Zhejiang University, Hangzhou; E-mail: bozheng@zju.edu.cn )

Based on concepts and with methods of statistical physics, we phenomenologically study statistical properties of the financial markets. The long-range temporal correlation of volatilities plays an essential role. We concentrate our attention on the dynamic behavior non-local in time, and universal and non-universal dynamic behavior of German DAX and Chinese Indices. Large amounts of daily and minutely data from real markets are analyzed. Further, a kind of dynamic herding models is constructed to describe the feature of the financial dynamics.

The contents
Statistical properties of financial dynamics
Dynamic behavior non-local in time
German DAX and Chinese Indices
Dynamic herding models
Trade volume in financial markets
Leverage effect and anti-leverage effect
 
References
[1]  F. Ren and B. Zheng, Phys. Lett., A313 (2003), 312.
[2]  B. Zheng, T. Qiu and F. Ren, Phys. Rev., E69 (2004), 046115.
[3]  B. Zheng, F. Ren, S. Trimper and D.F. Zheng, Physica, A343 (2004), 653.

[4]  F. Ren, B. Zheng, H. Lin, L.Y. Wen and S Trimper, Persistence probabilities of German DAX and

      Shanghai Index, Physica, A350 (2005), 439.

[5]  D.F Zheng, S. Trimper, B. Zheng and P.M. Hui, Phys. Rev., E67 (2003), 040102 (R).

[6]  L.Y. Wen, B. Zheng et al, Modeling interactions with trade volume, preprint.

[7]  T. Qiu and B. Zheng et al, Leverage effect > local and non-local in time, preprint.

Tea Break

Dynamic modelling of earthquakes

Jeen-Hwa Wang (Academia Sinica; E-mail: jhwang@earth.sinica.edu.tw )

Random matrix approach to cross correlations in earthquakes

Wen-Jong Ma (Academia Sinica; E-mail: mwj@gate.sinica.edu.tw )