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Early growth of density fluctuations of nuclear matter in spinodal region is investigated employing the stochastic mean-field approach. In contrast to the earlier treatments in which only collective modes were included in the calculations,…

Nuclear Theory · Physics 2015-01-26 O. Yilmaz , S. Ayik , F. Acar , A. Gokalp

In this work we discuss the most recent results concerning the Vlasov dynamics inside the spinodal region. The chaotic behaviour which follows an initial regular evolution is characterized through the calculation of the fractal dimension of…

Nuclear Theory · Physics 2009-09-25 A. Atalmi , M. Baldo , G. F. Burgio , A. Rapisarda

As an extension of our previous work, the growth of density fluctuations in the spinodal region of charge asymmetric nuclear matter is investigated in the basis of the stochastic mean-field approach in the non-relativistic framework. A…

Nuclear Theory · Physics 2015-10-28 F. Acar , S. Ayik , O. Yilmaz , A. Gokalp

Spinodal instabilities and early growth of baryon density fluctuations in symmetric nuclear matter are investigated in the basis of stochastic extension of relativistic mean-field approach in the semi-classical approximation. Calculations…

Nuclear Theory · Physics 2015-05-13 S. Ayik , O. Yilmaz , N. Er , A. Gokalp , P. Ring

Self consistent quantum approaches are used to study the instabilities of finite nuclear systems. The frequencies of multipole density fluctuations are determined as a function of dilution and temperature, for several isotopes. The spinodal…

Nuclear Theory · Physics 2009-11-07 M. Colonna , Ph. Chomaz , S. Ayik

Density fluctuations of expanding nuclear matter are studied within a mean-field model in which fluctuations are generated by an external stochastic field. Fluctuations develop about a mean one-body phase-space density corresponding to a…

Nuclear Theory · Physics 2016-09-08 F. Matera , A. Dellafiore , G. Fabbri

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean-field can describe many static and dynamical aspects. It generally provides a rather good…

Nuclear Theory · Physics 2015-06-18 Denis Lacroix , Sakir Ayik

The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially…

Disordered Systems and Neural Networks · Physics 2022-03-14 Arturo Berrones-Santos , Luis Benavides-Vázquez , Elisa Schaeffer , Javier Almaguer

Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean…

Mathematical Physics · Physics 2012-12-04 Pierluigi Contucci

We study the temporal growth pattern of surface fluctuations on a series of spinodally unstable polymer films where the degree of instability is controlled by the film thickness. For films in the deep spinodal region, the growth rate…

Materials Science · Physics 2007-05-23 Y. J. Wang , Ophelia K. C. Tsui

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and…

Nuclear Theory · Physics 2017-11-27 P. Napolitani , M. Colonna

We analyze the structure of fluctuations near critical points and spinodals in mean-field and near-mean-field systems. Unlike systems that are non-mean-field, for which a fluctuation can be represented by a single cluster in a properly…

Statistical Mechanics · Physics 2013-05-29 W. Klein , Harvey Gould , Natali Gulbahce , J. B. Rundle , K. Tiampo

A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing patterns within a specific parameters region. When determining…

Statistical Mechanics · Physics 2015-05-14 Tommaso Biancalani , Duccio Fanelli , Francesca Di Patti

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

Probability · Mathematics 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

Statistical Mechanics · Physics 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

Dynamics of spontaneous symmetry breaking and fluctuations in the Lipkin-Meshkov-Glick model are investigated in a stochastic mean-field approach. Different from the standard mean-field, in the stochastic approach, initial state…

Quantum Physics · Physics 2015-06-04 Denis Lacroix , Sakir Ayik , Bulent Yilmaz

The numerical solutions of nonlocal and local Boltzmann kinetic equations for the simulation of central heavy ion reactions are parameterized in terms of time dependent thermodynamical variables in the Fermi liquid sense. This allows one to…

Nuclear Theory · Physics 2009-11-06 Klaus Morawetz

We extend our sum over topologies formula to fermions. We show that fermionic fields display an instability with respect to topology fluctuations. We present some phenomenological arguments for a modification of the action in the case of…

High Energy Physics - Theory · Physics 2008-10-20 A. A. Kirillov , E. P. Savelova

We consider a generalization of the classical logistic growth model introducing more than one inflection point. The growth, called multi-sigmoidal, is firstly analyzed from a deterministic point of view in order to obtain the main…

Populations and Evolution · Quantitative Biology 2024-01-31 Antonio Di Crescenzo , Paola Paraggio , Patricia Román-Román , Francisco Torres-Ruiz

Violation of (semi)-detailed balance conditions in lattice gas automata gives rise to unstable spatial fluctuations that lead to phase separation and pattern formation in spinodal decomposition, unstable propagating modes, driven diffusive…

comp-gas · Physics 2008-02-03 M. H. Ernst , H. J. Bussemaker
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