08:30 to 08:50 Registration 08:50 to 09:00 Welcome INI 1 09:00 to 09:50 Field theory and exact stochastic equations for interacting particle systems INI 1 09:50 to 10:40 P Sollich ([Kings College, London])Activated aging dynamics and negative fluctuation-dissipation ratios In glassy materials aging proceeds at large times via thermal activation. We show that this can lead to negative dynamic response functions and novel and well-defined violations of the fluctuation-dissipation theorem, in particular, negative fluctuation-dissipation ratios. Our analysis is based on detailed theoretical and numerical results for the activated aging regime of simple kinetically constrained models. Our results are relevant to a variety of physical situations such as aging in glass-formers, thermally activated domain growth and granular compaction. INI 1 10:40 to 11:10 Coffee 11:10 to 12:00 S Ruffo (Università di Firenze)Slow dynamics in systems with long-range interactions INI 1 12:30 to 13:30 Lunch at Wolfson Court 14:00 to 14:50 Asymptotically exact scaling for nonequilibrium static and dynamic critical behaviour We present a scaling approach which we have recently developed for nonequilibrium static and dynamic critical behaviour. It is based on majority rule blocking implemented using complete operator algebra descriptions. These latter descriptions are generally available for particle exclusion models, but have only been pushed to an exact solution for special cases such as the steady-state of the Asymmetric Exclusion Process (biassed hopping of hard core particles). For that particular process we first show how the static scaling can be obtained using the reduced algebra which describes the steady state. We then outline how the full static and dynamic scaling follows from the complete operator algebra. The method gives for any (odd) dilatation factor $b$ the exact critical condition and exponent relations. For $b \rightarrow \infty$, it gives exact values for each exponent, including the dynamic exponent. Generalisations, eg to the partially asymmetric case, and applications, eg to relaxational dynamics of profiles and correlation functions, will be indicated. INI 1 14:50 to 15:20 Tea 15:20 to 16:10 Dynamical symmetries in phase-ordering kinetics Dynamical scaling in phase-ordering kinetics is well-accepted. We consider the possibility of a larger dynamical symmetry (called local scale-invariance) for this non-equilibrium relaxation phenomenon. Indeed, in many systems with and without detailed balance the Langevin equation can be decomposed into a deterministic' and a stochastic' part in such a way that if the deterministic' part is Galilei-invariant, then the calculation of the full noisy response and correlation functions reduces exactly to the calculation of certain n-point functions calculable within the deterministic' part of the theory. Galilei- and Schroedinger-invariant equations will be constructed. This leads to explicit predictions for the two-time response and correlation functions, in good agreement with simulational results and with the results of several exactly solvable models. INI 1 16:10 to 17:00 Pinning of random directed polymers: smoothening of the transition and some path properties I will consider a class of models of directed polymers in interaction with a line of random defects. This includes (d+1)-dimensional pinning problems, the (1+1)--dimensional interface wetting model, random copolymers at selective interfaces and other examples. These models are known to present a (de)localization transition at some critical line in the phase diagram. In absence of disorder, the transition can be either of first or of higher order. I will show that, as soon as disorder is present, the transition is always at least of second order. I will then concentrate on the delocalized phase and discuss some typical properties of the paths. (in collaboration with G. Giacomin (Paris 7)) INI 1 17:00 to 18:00 Wine Reception 18:45 to 19:30 Dinner at Wolfson Court (Residents Only)
 09:00 to 09:50 Zero-range processes: prototypical stochastic models with slow dynamics and nonequilibrium phase transitions INI 1 09:50 to 10:40 D Dean ([Université Paul Sabatier])Statistics of a slave estimator We analyze the statistics of an estimator, denoted by $\xi_t$ and referred to as the slave, for the equilibrium susceptibility of a one dimensional Langevin process $x_t$ in a potential $\phi(x)$~. The susceptibility can be measured by evolving the slave equation in conjunction with the original Langevin process. This procedure yields a direct estimate of the susceptibility and avoids the need, when performing numerical simulations, to include applied external fields explicitly. The success of the method however depends on the statistical properties of the slave estimator. The joint probability density function for $x_t$ and $\xi_t$ is analyzed. In the case where the potential of the system has a concave component the probability density function of the slave acquires a power law tail characterized by a temperature dependent exponent. Thus we show that while the average value of the slave, in the equilibrium state, is always finite and given by the fluctuation dissipation relation, higher moments and indeed the variance may show divergences. The behavior of the power law exponent is analyzed in a general context and it is calculated explicitly in some specific examples. Our results are confirmed by numerical simulations and we discuss possible measurement discrepancies in the fluctuation dissipation relation which could arise due to this behavior. INI 1 10:40 to 11:10 Coffee INI 1 11:10 to 12:00 M Moore ([Manchester])Towards the theory of the structural glass transition It will be shown that the behaviour described as the "structural glass transition" can be related to that of the Ising spin glass in a magnetic field. INI 1 12:30 to 13:30 Lunch at Wolfson Court INI 1 14:00 to 14:50 S Franz ([ICTP])Metastable states, relaxation times and free-energy barriers in finite dimensional glassy systems INI 1 14:50 to 15:20 Tea INI 1 15:20 to 16:10 Jamming percolation and glass transition in lattice models INI 1 16:10 to 17:00 Recovering folding free energies of RNA molecules in an experimental test of Crooks fluctuation theorem INI 1 18:45 to 19:30 Dinner at Wolfson Court (Residents Only)