Found 1683 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Central limit theorem over non-linear functionals of empirical measures with applications to the mean-field fluctuation of interacting particle systems

As a consequence of this result, we also analyse the convergence of fluctuation between the empirical measure of particles in an interacting particle system and their mean-field limiting measure (as the number of particles goes to infinity), when the dependence on measure is nonlinear. Expand abstract.
20 days ago
10/10 relevant
arXiv

Mean Field Theory for the Quantum Rabi Model, Inconsistency to the Rotating Wave Approximation

Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. Expand abstract.
22 days ago
10/10 relevant
arXiv

Consensus-Based Optimization on the Sphere I: Well-Posedness and Mean-Field Limit

In this paper, we study the well-posedness of the model and we derive rigorously its mean-field approximation for large particle limit. Expand abstract.
24 days ago
10/10 relevant
arXiv

Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction

We have studied the effect of the Dzyaloshinskii-Moriya interaction on kagome Heisenberg anti-ferromagnet using Schwinger boson mean field theory (SBMFT). Expand abstract.
26 days ago
10/10 relevant
arXiv

Splitting methods and short time existence for the master equations in mean field games

We develop a splitting method to prove the well-posedness, in short time, of solutions for two master equations in mean field game (MFG) theory: the second order master equation, describing MFGs with a common noise, and the system of master equations associated with MFGs with a major player. Expand abstract.
27 days ago
10/10 relevant
arXiv

Single $\Lambda_c^+$ hypernuclei within quark mean-field model

The quark mean-field (QMF) model is applied to study the single $\Lambda^+_c$ hypernuclei. Expand abstract.
31 days ago
10/10 relevant
arXiv

Modeling the spin-Peierls transition of spin-$1/2$ chains with correlated states: $J_1-J_2$ model, CuGeO$_3$ and TTF-CuS$_4$C$_4$(CF$_3$)$_4$

The spin-Peierls transition at $T_{SP}$ of spin-$1/2$ chains with isotropic exchange interactions has previously been modeled as correlated for $T > T_{SP}$ and mean field for $T < T_{SP}$. Expand abstract.
40 days ago
4/10 relevant
arXiv

Correlation-induced steady states and limit cycles in driven dissipative quantum systems

One of these is a steady state with mean magnetization values that lie between the two bistable mean-field values, and whose correlation functions have properties reminiscent of both. Expand abstract.
40 days ago
7/10 relevant
arXiv

Decay of Correlation Rate in the Mean Field Limit of Point Vortices Ensembles

It is a classical result that in such limit correlations functions converge to 1, that is, point vortices decorrelate: we compute the rate at which this convergence takes place by means of Gaussian integration techniques, inspired by the correspondence between the 2-dimensional Coulomb gas and the Sine-Gordon Euclidean field... Expand abstract.
41 days ago
10/10 relevant
arXiv

On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions

As a by-product of our main results, we also analyse the energetic consequences of the central limit theorem for fluctuations around the mean field limit and derive optimal rates of convergence in relative entropy of the Gibbs measure to the (unique) limit of the mean field energy below the critical temperature. Expand abstract.
43 days ago
10/10 relevant
arXiv