Exploring the role of mean‐field potentials and short‐range wave function behavior in the adiabatic connection
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Computational Chemistry"
DOI: 10.1002/jcc.27378
Abstract: In this article, we explore the construction of Hamiltonians with long‐range interactions and their corrections using the short‐range behavior of the wave function. A key aspect of our investigation is the examination of the one‐particle… read more here.
Keywords: field; short range; mean field; behavior ... See more keywords
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
On the Mean‐Field Limit of Consensus‐Based Methods
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DOI: 10.1002/mma.70343
Abstract: Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS).… read more here.
Keywords: consensus; consensus based; limit; mean field ... See more keywords
Black hole holography and mean field evolution
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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, $$d\in \mathbf… read more here.
Keywords: field; mean field; corruption botnet; field game ... See more keywords
Spectral Gap Estimates in Mean Field Spin Glasses
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DOI: 10.1007/s00220-018-3152-6
Abstract: We show that mixing for local, reversible dynamics of mean field spin glasses is exponentially slow in the low temperature regime. We introduce a notion of free energy barriers for the overlap, and prove that… read more here.
Keywords: spin glasses; mean field; spectral gap; field spin ... See more keywords
Emergence of Oscillatory Behaviors for Excitable Systems with Noise and Mean-Field Interaction: A Slow-Fast Dynamics Approach
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03641-y
Abstract: We consider the long-time dynamics of a general class of nonlinear Fokker–Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual dynamics… read more here.
Keywords: mean field; emergence oscillatory; oscillatory behaviors; slow fast ... See more keywords
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $$d>4$$
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DOI: 10.1007/s00440-025-01415-3
Abstract: This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions $$d>4$$ d > 4 . Among other results, we obtain up-to-constant estimates for the full-space and half-space… read more here.
Keywords: approach mean; self avoiding; mean field; weakly self ... See more keywords
A mean field game model for optimal trading in the intraday electricity market
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DOI: 10.1007/s10203-024-00445-1
Abstract: In this study, we provide a simple one period mean-field-games setting for the joint optimal trading problem for electricity producers in the electricity markets. Based on the Markowitz mean-variance approach from stock trading, we consider… read more here.
Keywords: trading; optimal trading; electricity; mean field ... 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