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胡进锟研究员学术报告会

  发布日期:2014-10-10  浏览量:7116


报告题目: Partition function zeros of lattice systems: From Ising model to interacting self-avoiding walks

人: 胡进锟 研究员(台湾“中央研究院”物理所)

    间: 20141021日下午1430

    点: 磬苑校区理工H楼(数学楼)H306多功能报告厅

主办单位: 澳门赌搏网站大全

欢迎各位老师、同学届时前往!

Abstract:  In this talk, I briefly review the studies of partition function zeros of lattice systems, including the Ising model, the Potts model, and the interacting self-avoiding walks on lattices. In 1952, C. N. Yang and T. D. Lee [1] used zeros of the partition function in the complex fugacity plane (Lee-Yang zeros)  to study critical behavior of the Ising model. In 1965, M. E. Fisher [2] published a paper on the zeros of the canonical partition function in the complex temperature plane (Fisher zeros) of the square lattice Ising model. He showed that the partition function zeros are distributed on circles in the thermodynamic limit, and that the logarithmic singularity of the two-dimensional Ising model is related to the zero distribution.  In 1996, C. N. Chen, C.-K. Hu and F. Y. Wu published a paper about partition function zeros (Fisher zeros) of the q-state Potts model on the self-dual square lattice. They found that such zeros distribute on the unit circle of the complex plane when the real component of the zero is positive [3]. In 2013, C.-N. Chen, Hsieh, and Hu calculated the exact partition of the interacting self-avoiding walks up to chain length N = 27 on the simple cubic lattice. They used partition function zeros to decompose the specific heat and identify a collapse transition at a higher temerature and a freezing transition at a low temperature [4]. Finally, I point out some problems for further studies.

References

[1] C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952); T. D. Lee and C. N. Yang,

Phys. Rev. 87, 410 (1952).

[2] M. E. Fisher, in Lecture Notes in Theoretical Physics, edited by W. E. Brittin (University of Colorado Press, Boulder, 1965), Vol. 7c.

[3] C.-N. Chen, C.-K. Hu and F. Y. Wu, Phys. Rev. Lett. 76, 169 (1996).  see also F. Y. Wu, et al.,

Phys. Rev. Lett. 76, 173 (1996); S.-Y. Kim, R. J. Creswick, C.-N. Chen, C.-K. Hu, Physica A

281, 262 (2000).

[4] C.-N. Chen, Y.-H. Hsieh, and C.-K. Hu, EPL 104, 20005 (2013).

报告人概况:

        

胡进锟,现职:台湾“中央研究院”物理所研究员

学术专长统计、计算、非线性及生物物理

个人网页: http://projl.sinica.edu.tw/~statphys/people/huck/index.html

获奖与荣誉及学术研究成果:

四次台湾国科会杰出研究奖(1985-1987,1987-1989,1989-1991,1993-1995);

二次台湾国科会特约研究计划主持人(1995-1998,1998-2001);

台湾吴三连自然科学奖(1989) ;台湾物理学会会士(1996);

台湾国科会杰出特约研究员奖(2002;台湾教育部学术奖(2005

台湾物理学会特殊贡献奖 (2014)。

担任国际纯粹及应用物理联合会(IUPAP)统计物理委员会委员(1987-1993)、秘书(1996-2002)及副主席(2002-2005; 担任Journal of the Physical Society of Japan Advisory Board 委员, Physica A  Advisory  Editor International Journal of Modern Physics C副编辑, Chinese Journal of Physics副总编辑(2013-2015)EPL (Europhysics Letters) 共同编辑(04/2009-03/2016). 2014 9月,胡博士于专业期刊发表或已接受发表之论文共260篇,其中 Physical Review Letters 20篇,Physical Review 83篇,PNAS 2篇,EPL 9, Biophysical Journal 3篇,Journal of Computational Chemistry 6篇,Proteins 3篇,Plos One 5 , Physica A 17篇,Journal of Physics A : Mathematical and General 11 篇,Journal of the Physical Society of Japan 5 篇, Computer Physics Communications 7 篇。除期刊论文外,胡博士也在学术会议的论文集发表31篇论文。这些论文的PDF文档大部分可于上列胡进锟博士的个人网页找到; SCI h index: 33.

研究之重要成果: 建立晶格模型临界现象统一的渗流理论,发现非常不同的系统可以属于相同的普适性类,找到蛋白质立体结构一个普适的几何因子,并发现影响蛋白质群集现象的关键因素,为预防或治疗神经退化性疾病打开一扇希翼之门。

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