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In accordance with recent experiments the mean-field type theories predict the presence of numerous metastable minima (states) in the rugged free-energy landscape of frustrated disordered magnets. This multiplicity of long-lived states with…

Disordered Systems and Neural Networks · Physics 2015-05-14 P. N. Timonin

We construct an explicitly solvable Landau mean-field theory for volume phase transitions of confined or fixed ions driven by relative concentrations of divalent and monovalent counterions. Such phase transitions have been widely studied in…

Soft Condensed Matter · Physics 2011-02-17 Kyle J. Welch , Fred Gittes

We study numerically the nonequilibrium dynamical behavior of an Ising model with mixed two-spin and four-spin interactions after a sudden quench from the high-temperature phase to the first-order phase transition point. The autocorrelation…

Statistical Mechanics · Physics 2009-11-13 Michel Pleimling , Ferenc Igloi

We present numerical evidence for an extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model driven by an oscillating field. The order parameter, previously taken to be the…

Statistical Mechanics · Physics 2015-06-18 Daniel T. Robb , Aaron Ostrander

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

Biological Physics · Physics 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We consider here a generalization of the random quantum rotor model in which each rotor is characterized by an M-component vector spin. We focus entirely on the case not considered previously, namely when the distribution of exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Denis Dalidovich , Philip Phillips

We study the possibility to apply phenomenological approach to the description of magnetic transitions in UGe$_2$ at ambient pressure with the help of Landau free energy expanded to 8th order in magnetisation. The analysis shows that for…

Superconductivity · Physics 2021-08-24 Diana V. Shopova

Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a $1/N$ expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a…

High Energy Physics - Theory · Physics 2015-07-09 Thibault Delepouve , Razvan Gurau

The magnetism is an old problem of Physics. Most interesting part of the research on magnetism is its thermodynamic behaviour. In this review, the thermodynamic phase transitions, mainly in ferromagnetic model systems, are discussed. The…

Statistical Mechanics · Physics 2023-11-21 Olivia Mallick , Muktish Acharyya

We present a detailed numerical study of the equilibrium and non-equilibrium dynamics of the phase transition in the finite-temperature Abelian Higgs model. Our simulations use classical equations of motion both with and without…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Hindmarsh , A. Rajantie

Magnetization switching in ferromagnetic structures is an important process for technical applications such as data storage in spintronics, and therefore the determination of the corresponding switching rates becomes essential. We…

Materials Science · Physics 2021-10-15 Johannes Mögerle , Robin Schuldt , Johannes Reiff , Jörg Main , Rigoberto Hernandez

We consider large deviations of the dynamical activity -- defined as the total number of configuration changes within a time interval -- for mean-field and one-dimensional Ising models, in the presence of a magnetic field. We identify…

Statistical Mechanics · Physics 2020-08-26 Jules Guioth , Robert Jack

We propose Landau phenomenology for describing the phase transition from the conventional nematic into the conical helical orientationally non-uniform structure recently identified in liquid crystals formed by "banana"-shaped molecules. The…

Soft Condensed Matter · Physics 2015-06-22 E. I. Kats , V. V. Lebedev

Understanding the magnetization switching process in ferromagnetic thin films is essential for many technological applications. We investigate the effects of periodic driving via magnetic fields on a macrospin system under explicit…

Materials Science · Physics 2022-08-16 Michael Maihöfer , Johannes Reiff , Jörg Main , Rigoberto Hernandez

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We study the possibility to apply phenomenological approach to the description of magnetic transitions in UGe2 with the help of Landau free energy expanded to 8-th order in magnetisation. The analysis shows that for certain values of…

Superconductivity · Physics 2020-11-16 Diana V. Shopova

Recently, dynamical phase transitions have been identified based on the non-analytic behavior of the Loschmidt echo in the thermodynamic limit [Heyl et al., Phys.~Rev.~Lett.~{\bf 110}, 135704 (2013)]. By introducing conditional probability…

Strongly Correlated Electrons · Physics 2015-01-09 Elena Canovi , Philipp Werner , Martin Eckstein

We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the…

Statistical Mechanics · Physics 2025-08-28 Ranran Guo , Xiaobing Li , Yuming Zhong , Mingmei Xu , Jinghua Fu , Yuanfang Wu