Zur Psychopathologie des Geruchssinnes im Rahmen schizophrener Psychosen

Klages, W; Klages, Ilse; Anis, Ayal

doi:10.1007/bf00341961

Cited by 6 publications

(9 citation statements)

References 10 publications

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“…As expected, the irregular structure gradually disappears by increasing da. Qualitatively the same result is obtained by applying noisy shifts [14]. Figure 1 may be compared to the corresponding result for quenched slopes, fig.…”

supporting

confidence: 68%

Transitions from deterministic to stochastic diffusion

Klages¹

2002

Europhys. Lett.

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We examine characteristic properties of deterministic and stochastic diffusion in low-dimensional chaotic dynamical systems. As an example, we consider a periodic array of scatterers defined by a simple chaotic map on the line. Adding different types of time-dependent noise to this model we compute the diffusion coefficient from simulations. We find that there is a crossover from deterministic to stochastic diffusion under variation of the perturbation strength related to different asymptotic laws for the diffusion coefficient. Typical signatures of this scenario are suppression and enhancement of normal diffusion. Our results are explained by a simple theoretical approximation.

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supporting

confidence: 68%

Transitions from deterministic to stochastic diffusion

Klages¹

2002

Europhys. Lett.

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“…It now remains to apply this formalism to a number of examples in order to understand the physical and mathematical consequences of this approach to transport in fluid systems. Applications of this formalism to certain types of one-dimensional diffusion problems will be presented in [15], and applications to Lorentz lattice gas cellular automata will be presented in [27]. Many further applications are possible.…”

Section: Discussionmentioning

confidence: 99%

“…We also note that for the open systems considered here (i. e. particles not on the repeller escape from the region containing the scatterers), the KS-entropy on the repeller does not equal the sum of the positive Lyapunov exponents, and the difference is of order L −2 for large L, if the diffusion coefficient exists. The escape-rate expression for the diffusion coefficient has been evaluated explicitly for a two-dimensional periodic Lorentz gas [8], for a two-dimensional multibaker transformation [14], and for a variety of one-dimensional maps [15].…”

Section: Introductionmentioning

confidence: 99%

Chaotic scattering theory of transport and reaction-rate coefficients

1995

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PACS numbers: 05.45.+b. Theory and models of chaotic systems 05.60.+w. Transport processes: Theory 05.40.+j. Fluctuation phenomena, random processes, and Brownian motion 1 AbstractThe chaotic scattering theory is here extended to obtain escape-rate expressions for the transport coefficients appropriate for a simple classical fluid, or for a chemically reacting system. This theory allows various transport coefficients such as the coefficients of viscosity, thermal conductivity, etc., to be expressed in terms of the positive Lyapunov exponents and Kolmogorov-Sinai entropy of a set of phase space trajectories that take place on an appropriate fractal repeller. This work generalizes the previous results of Gaspard and Nicolis for the coefficient of diffusion of a particle moving in a fixed array of scatterers.

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“…The synthetic thermostat does not directly modify the dynamics of the particles in the rest of the system-the system of interest. An excellent review on thermostatting has appeared recently [4].…”

Section: Introductionmentioning

confidence: 99%

Independence of the transient fluctuation theorem to thermostatting details

2004

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The fluctuation theorems show how macroscopic irreversibility arises from time reversible microscopic dynamics. They have been confirmed in computer simulations and in laboratory experiments. The standard proofs of the transient fluctuation theorems involve the use of time reversible deterministic thermostats to control the temperature of the system of interest. These mathematical thermostats do not occur in Nature. However, since in a gedanken experiment the thermostatting regions can be removed arbitrarily far from the system of interest, it has been argued that the precise details of the thermostat cannot be important and that the resulting fluctuation theorems apply to natural systems. In this paper we give a detailed analysis showing how the fluctuation theorem is independent of the precise mathematical details of the thermostatting mechanism for an infinite class of fictitious time reversible deterministic thermostats. Our analysis reinforces the implications of the gedanken experiment and implies that thermostats used in the derivations of fluctuation theorems are a convenient but ultimately irrelevant device.

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Zur Psychopathologie des Geruchssinnes im Rahmen schizophrener Psychosen

Cited by 6 publications

References 10 publications

Transitions from deterministic to stochastic diffusion

Transitions from deterministic to stochastic diffusion

Chaotic scattering theory of transport and reaction-rate coefficients

Independence of the transient fluctuation theorem to thermostatting details

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