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We study a microscopic mean-field model for the dynamics of the electronglass, near a local equilibrium state. Phonon-induced tunneling processes areresponsible for generating transitions between localized electronic sites,which eventually lead to the thermalization of the system. We find that thedecay...
The result of this paper establishes a general theorem for establishing the convergence and the approximation error (i.e., the rate of convergence) of a large class of CTMCs to their mean-field limit by mainly looking into the stability of the mean-field model, which is a deterministic ...
The study of hypernuclei in the quark mean-field model are extended from single-$\Lambda $ hypernuclei to double-$\Lambda $ hypernuclei as well as $\Xi $ hypernuclei (double strangeness nuclei), with a broken SU(3) symmetry for the quark confinement potential. The strength of the potenti...
Franz Utermohlen: Notes on "Mean Field Theory Solution of the Ising Model" 接下来,我们来看看究竟在哪里做了近似,其实最直接的就是这里假设了\delta S_i \ \delta S_j \approx 0;在热扰动(thermal fluctuation)较小的时候,这个式子成立。物理上来理解,在维度较低的时候,热扰动可能会比较明显,因此平均场...
下面一个工作讲的是如何在 mean-field 这样的建模下,通过 model-free online RL 来求解。 下面这篇文章讲的是 mean-field 这样的场景下如何设计有效的 offline RL 算法。 最后这个工作是今年 AAAI 的一个工作,讲的是每个智能体都维护一个 local 的 mean-field variable,这样算法就可以做成完全 local 的了,这样...
Microcanonical solution of the mean-field model: Comparison with time averages at finite size A. Campa and S. Ruffo. Microcanonical solution of the mean-field φ4 model: Comparison with time averages at finite size. Physica A, 369(2):517-... Alessandro,Campa,and,... - 《Physica A ...
and the Equation (22) transforms in the standard mean-field model (1). Note that the time Δ used here is the time interval, beyond which the velocities does not correlate. It is usually assumed that Δ is twice large than memory time 𝜏 from one point to another where the correlation...
The Hamiltonian Mean Field model is a prototype for systems with long-range interactions. It describes the motion of N particles moving on a ring, coupled with an infinite-range potential. The model has a second-order phase transition at the energy density Uc=3/4 and its dynamics is exactly...
This paper provides a mean-field game theoretic model of the bandwagon effect in social networks. This effect can be observed whenever individuals tend to align their own opinions to a mainstream opinion. The contribution is threefold. First, we describe the opinion propagation as a mean-field ga...