Titlebook: Stochastic Processes in Physics, Chemistry, and Biology; Jan A. Freund,Thorsten Pöschel Conference proceedings 2000 Springer-Verlag Berlin

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Brownian Motion in a ,-Dimensional Space with Fluctuating FrictionGeneral expressions for the diffusion tensor in a .-dimensional medium with a fluctuating friction tensor are presented. In two dimensions an explicit expression of the diffusion tensor is found for a dichotomic Markovian friction process. Even if the friction is isotropic on average, the diffusion tensor in general happens to be anisotropic.

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The Lighthouse Model of a Neural Net with DelayThis paper studies the impact of noise on phase locking in a net of . pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modelled by (-functions. We admit a general dependence of the coupling strengths on the neuronal indices and on a delay time τ.

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Noise-enhanced Phase Coherence in Ensembles of Stochastic ResonatorsWe study instantaneous response of a parallel array of stochastic res- onators to a weak periodic input signal contaminated by external noise. We show that arbitrary small signal can lock the phase of a collective response of a large enough array in a wide range of internal noise intensities.

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Molecular Motors and Stochastic Modelsemical motor cycle and the stochastic movement. This coupling can be studied in the framework of nonuniform ratchet models which are characterized by spa-tially localized transition rates between the different internal states of the motor. These models can be classified according to their functional

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Nonlinearly Coupled Chemical Reactions release energy. Traditionally such reactions and the consequent energy flows are presented as being coupled linearly through a matrix. Below we present an example where the coupling is quadratic. We show how such coupling can arise chemically. When operated near equilibrium the resulting system is

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Conduction in an Inhomogeneous Mediumier that the modification is not universal but depends on the specific mechanism that causes the diffusion and three cases have been considered. This paper studies the effect of these modifications on the conduction in a wire in the presence of an external field. The conclusion is that the differenc

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