منابع مشابه
Kinetic Theory for Neuronal Network Dynamics∗
We present a detailed theoretical framework for statistical descriptions of neuronal networks and derive (1+1)-dimensional kinetic equations, without introducing any new parameters, directly from conductance-based integrate-and-fire neuronal networks. We describe the details of derivation of our kinetic equation, proceeding from the simplest case of one excitatory neuron, to coupled networks of...
متن کاملFrom kinetic theory to dissipative fluid dynamics
We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad’s 14-moment expansion. Working consistently to second order in the Knudsen number, these equations contain several new terms which are absent in previous treatments.
متن کاملKinetic theory of information—the dynamics of information
A kinetic approach to the notion of information is proposed, based on Liouville kinetic theory. The general kinetic equation for the evolution of the N-particle information IN in a Hamiltonian system of large particle number N >> 1 is obtained. It is shown that the N-particle information is strictly conserved. Defining reduced particle number information densities in phase space should be possi...
متن کاملGeometric dynamics of Vlasov kinetic theory and its moments
The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments. As a first step, these moment equations generalize the Camassa-Holm equation to its multicomponent version. Subsequently, adding electrostatic forces to the geodesic moment equations relates them to the Benney equations and...
متن کاملKinetic theory for dissipative particle dynamics: the importance of collisions
– Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations. Previous theory is found to correspond to a weak scattering limit, or Vlasov theory, and previously reported discrepancies with simulations are thereby re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2016
ISSN: 0167-2789
DOI: 10.1016/j.physd.2016.06.007