The mean field kinetic equation for interacting particle systems with non‐Lipschitz force
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6013
Abstract: In this paper, we prove the global existence of the weak solution to the mean field kinetic equation derived from the $N$-particle Newtonian system. For $L^1\cap L^\infty$ initial data, the solvability of the mean field… read more here.
Keywords: kinetic equation; mean field; particle; field kinetic ... See more keywords
Black hole holography and mean field evolution
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2018)049
Abstract: A bstractHolographic theories representing black holes are expected to exhibit quantum chaos. We argue if the laws of quantum mechanics are expected to hold for observers inside such black holes, then such holographic theories must… read more here.
Keywords: black hole; mean field; black holes; hole holography ... See more keywords
Simple non-perturbative resummation schemes beyond mean-field: case study for scalar ϕ4 theory in 1+1 dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2019)149
Abstract: A bstractI present a sequence of non-perturbative approximate solutions for scalar ϕ4 theory for arbitrary interaction strength, which contains, but allows to systematically improve on, the familiar mean-field approximation. This sequence of approximate solutions is… read more here.
Keywords: non perturbative; theory; resummation; mean field ... See more keywords
Corruption and botnet defense: a mean field game approach
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Game Theory"
DOI: 10.1007/s00182-018-0614-1
Abstract: Recently developed toy models for the mean-field games of corruption and botnet defence in cyber-security with three or four states of agents are extended to a more general mean-field-game model with 2d states, $$d\in \mathbf… read more here.
Keywords: field; mean field; corruption botnet; field game ... See more keywords
Spectral Gap Estimates in Mean Field Spin Glasses
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DOI: 10.1007/s00220-018-3152-6
Abstract: We show that mixing for local, reversible dynamics of mean field spin glasses is exponentially slow in the low temperature regime. We introduce a notion of free energy barriers for the overlap, and prove that… read more here.
Keywords: spin glasses; mean field; spectral gap; field spin ... See more keywords
Emergence of Oscillatory Behaviors for Excitable Systems with Noise and Mean-Field Interaction: A Slow-Fast Dynamics Approach
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03641-y
Abstract: We consider the long-time dynamics of a general class of nonlinear Fokker–Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual dynamics… read more here.
Keywords: mean field; emergence oscillatory; oscillatory behaviors; slow fast ... See more keywords
Mean-Field and Monte Carlo Studies of the Magnetic Properties of a Spin-7/2 and Spin-5/2 Ising Bilayer Film
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Superconductivity and Novel Magnetism"
DOI: 10.1007/s10948-018-4876-4
Abstract: We use standard Monte Carlo simulations based on the Metropolis algorithm and mean-field calculations to investigate the magnetic properties of an Ising bilayer film consisting of two superposed ferromagnetic squared lattices A and B whose… read more here.
Keywords: field; monte carlo; mean field; magnetic properties ... See more keywords
Mean Field Limit of Interacting Filaments for 3D Euler Equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2189-4
Abstract: The 3D Euler equations, precisely local smooth solutions of class $$H^s$$Hs with $$s>5/2$$s>5/2 are obtained as a mean field limit of finite families of interacting curves, the so called vortex filaments, described by means of… read more here.
Keywords: euler equations; mean field; limit interacting; field limit ... See more keywords
A Mean Field Limit for the Hamiltonian Vlasov System
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02438-6
Abstract: The derivation of effective equations for interacting many body systems has seen a lot of progress in the recent years. While dealing with classical systems, singular potentials are quite challenging (Hauray and Jabin in Annales… read more here.
Keywords: vlasov system; mean field; field limit;
Estimation of Local Microcanonical Averages in Two Lattice Mean-Field Models Using Coupling Techniques
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02612-1
Abstract: We consider an application of probabilistic coupling techniques which provides explicit estimates for comparison of local expectation values between label permutation invariant states, for instance, between certain microcanonical, canonical, and grand canonical ensemble expectations. A… read more here.
Keywords: local microcanonical; field models; field; mean field ... See more keywords
The Multi-species Mean-Field Spin-Glass on the Nishimori Line
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02684-z
Abstract: In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions, allow us to prove the replica symmetry… read more here.
Keywords: species mean; nishimori line; line; multi species ... See more keywords