scholarly journals p -star models, mean-field random networks, and the heat hierarchy

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Gino Biondini ◽  
Antonio Moro ◽  
Barbara Prinari ◽  
Oleg Senkevich
2007 ◽  
Vol 16 (02n03) ◽  
pp. 357-363
Author(s):  
MOISÉS RAZEIRA ◽  
CÉSAR A. Z. VASCONCELLOS ◽  
BARDO E. J. BODMANN ◽  
DIMITER HADJIMICHEF

In this work, we calculate the moment of inertia of the pulsar of the binary system J0737-3039A in the framework of Einstein's gravitational theory combined with a relativistic field theoretical approach for nuclear matter in the slow rotating regime, taking into account that the star's frequency is much smaller than Kepler's frequency. In the description of the EoS for nuclear matter, we consider a generalized class of relativistic multi-baryon Lagrangian density mean field approach which contains adjustable nonlinear couplings of the meson fields with the baryon fields. Upon adjusting the model parameters to describe bulk static properties of ordinary nuclear matter, we determine the EoS of the pulsars. By analyzing the results, dynamical constraints for neutron star models are identified.


1999 ◽  
Vol 272 (1-2) ◽  
pp. 173-187 ◽  
Author(s):  
Albert-László Barabási ◽  
Réka Albert ◽  
Hawoong Jeong

PLoS ONE ◽  
2012 ◽  
Vol 7 (12) ◽  
pp. e51883 ◽  
Author(s):  
Alexander Veremyev ◽  
Vladimir Boginski ◽  
Pavlo A. Krokhmal ◽  
David E. Jeffcoat

2007 ◽  
Vol 18 (11) ◽  
pp. 1765-1773 ◽  
Author(s):  
ANNA MAŃKA ◽  
KRZYSZTOF MALARZ ◽  
KRZYSZTOF KUŁAKOWSKI

We consider the random Erdös–Rényi network with enhanced clusterization and Ising spins s = ±1 at the network nodes. Mutually linked spins interact with energy J. Magnetic properties of the system that are dependent on the clustering coefficient C are investigated with the Monte Carlo heat bath algorithm. For J > 0 the Curie temperature Tc increases from 3.9 to 5.5 when C increases from almost zero to 0.18. These results deviate only slightly from the mean field theory. For J < 0 the spin-glass phase appears below TSG; this temperature decreases with C, on the contrary to the mean field calculations. The results are interpreted in terms of social systems.


2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.


1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich

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