Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 23: Symposium Renormalization and Scaling (SYRS) – Contributed Talks I

DY 23.4: Vortrag

Samstag, 5. März 2005, 14:45–15:00, TU H3010

Infinite-dimensional symmetries in nonequilibrium systems and nonlinear differential equations — •Malte Henkel — LPM. Université Nancy I, B.P. 239, F - 54506 Vandœuvre lès Nancy, Frankreich

Spin systems quenched into their ordered phase undergo ageing and display dynamical scaling. A formal analogy with the well-known conformal invariance of equilibrium phase-transitions suggests the extension of dynamical scaling to a larger local scale-invariance. This leads to explicit predictions for the time-dependent reponse and correlation functions, in excellent agreement with recent results of numerical simulations [1]. We show that the group of local scale-transformations is infinite-dimensional and is the dynamical symmetry group of certain nonlinear differential equations [2]. It also arises as dynamical symmetry in stochastic systems, including the simple random walk [3].

[1] M. Henkel, A. Picone and M. Pleimling, Europhys. Lett. 68, 191 (2004). [2] R. Cherniha and M. Henkel, J. Math. Anal. Appl. 298, 487 (2004). [3] M. Henkel and J. Unterberger, in preparation.