References
参考 |
In this seminar I will discuss one important insight recently coming out of biology: the general existence of energy-like function in non-equilibrium processes. I will show that this insight helps to resolve the outstanding problem of absence of detailed balance. It will also lead to a few interesting stochastic dynamical equalities which can be tested experimentally. Some related cases in biology will be discussed, too.
Some references from Dr. Ping Ao lab:
1) Global view of bionetwork dynamics: adaptive landscape
P. Ao, Journal of Genetics and Genomics 36 (2009) 63-73.
doi:10.1016/S1673-8527(08)60093-4,
2) Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics,
P. Ao, Communications in Theoretical Physics 49 (2008) 1073-1090.
http://ctp.itp.ac.cn/qikan/Epaper/zhaiyao.asp?bsid=2817;
3) On the Existence of Potential Landscape in the Evolution of Complex Systems,
P. Ao, C. Kwon, and H. Qian, Complexity 12 (2007) 19-27.
http://arxiv.org/PS_cache/q-bio/pdf/0703/0703044v1.pdf;
4) Existence and Construction of Dynamical Potential in Nonequilibrium Processes without Detailed Balance,
L. Yin and P. Ao, Journal of Physics A39 (2006) 8593-8601.
http://www.iop.org/EJ/abstract/0305-4470/39/27/003;
5) Structure of Stochastic Dynamics near Fixed Points,
C. Kwon, P. Ao, and D.J. Thouless, Proc. Nat Acad. Sci. (USA) 102 (2005) 13029-13033.
http://www.pnas.org/content/102/37/13029.full.pdf+html;
6) Potential in Stochastic Differential Equations: Novel Construction,
P. Ao, J. Phys. A37 L25-L30 (2004).
http://www.iop.org/EJ/abstract/0305-4470/37/3/L01/ |
