There is a large literature on the basic topic of this book: derivation of a macroscopic description of a large complex system in terms of a few quantities, which have physical meaning. For example, how can one derive the Navier-Stokes equations starting from kinetic theory for many small ...
(10). This mean-field theory is dynamic because the network of neurons is reduced to a representative neuron in a dynamic field \eta(t) . Intuition A heuristic derivation A less rigorous but more intuitive way to analyze the network (1) is to replace the input term h_i(t)=\sum_\...
We present an analytic derivation of the linear temperature dependence of the inverse static susceptibility χ - 1 ( T , U ) ∼ T - T c ( U ) near the transition from a paramagnetic-to-ferromagnetic correlated metal within the dynamical mean-field theory for the Hubbard model. The ...
Transport theory of deeply inelastic heavy-ion collisions based on a random-matrix model. i. Derivation of the transport equation D. AgassiChe Ming KoHans A. Weidenmüller Annals of Physics Sep 1977 A random-matrix model is used to describe the transformation of kinetic energy of relative motion...
We found that the entropy production of the kinetic Ising system is also maximized around βc (discussed later, see also Methods for its derivation). Forward Ising problem We examine the performance of the different Plefka expansions in predicting the evolution of an asymmetric SK model of size...
We give a new derivation of mean-field percolation critical behaviour from the triangle condition that is quantitatively much better than previous proofs when the triangle diagram [Math Processing Error]∇pc is large. In contrast to earlier methods, our approach continues to yield bounds of reasona...
Derivation of the Curie-Weiss Law in Dynamical Mean-Field Theory We present an analytic derivation of the linear temperature dependence of the inverse static susceptibility χ - 1 ( T , U ) ∼ T - T c ( U ) near the t... K Byczuk,D Vollhardt - 《Phys.rev.b》 被引量: 25发表...
A set of nonlinear continuum field equations is presented which describes the dynamics of neural activity in cortex. These take into account the most pertinent anatomical and physiological features found in cortex with all parameter values obtainable from independent experiment. Derivation of a white noi...
The derivation of Eq. (7), which constitutes the mean-field approximation of Eq. (2), not only offers a decrease in the complexity of evaluating the linear stability of this type of multiplexes, but also, more importantly, paves the way to compute the stability diagram of systems whose ...
3.2 Derivation of the TOV equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.3 Solving the TOV equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 ...