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I consider several Langevin and Fokker-Planck classes of dynamics for scalar field theories in contact with a thermal bath at temperature T. These models have been applied recently in the numerical description of the dynamics of second…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luis M. A. Bettencourt

A topological approach to the theory of equilibrium phase transitions in statistical physics is based on the Topological Hypothesis (TH), which claims that phase transitions are due to changes of the topology of suitable submanifolds in the…

Algebraic Topology · Mathematics 2015-03-17 Michael Farber , Viktor Fromm

A system with Bose-Einstein condensate is considered in the frame of the self-consistent mean-field approximation, which is conserving, gapless, and applicable for arbitrary interaction strengths and temperatures. The main attention is paid…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Many complex dynamical systems in the real world, including ecological, climate, financial, and power-grid systems, often show critical transitions, or tipping points, in which the system's dynamics suddenly transit into a qualitatively…

Physics and Society · Physics 2023-05-19 Prosenjit Kundu , Neil G. MacLaren , Hiroshi Kori , Naoki Masuda

We describe a simple and accurate differential thermal analysis set up to measure the latent heat of solid state materials undergoing abrupt phase transitions in the temperature range from 77 K to above room temperature. We report a…

Statistical Mechanics · Physics 2021-10-12 Tapas Bar , Bhavtosh Bansal

The Discrete Non Linear Schr\"odinger (DNLS) model, due to the existence of two conserved quantities, displays an equilibrium transition between a homogeneous phase at positive absolute temperature and a localized phase at negative absolute…

Statistical Mechanics · Physics 2026-05-08 Michele Giusfredi , Stefano Iubini , Antonio Politi , Paolo Politi

In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Delta t >= t >= -Delta t.…

High Energy Physics - Theory · Physics 2013-04-09 Bin Wu

The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this…

Superconductivity · Physics 2007-08-07 A. Toschi , P. Barone , M. Capone , C. Castellani

Pairing transition at finite temperature was investigated by the shell model and BCS calculations. The definitive signature of pairing transition is identified by a "transition temperature" $T_t$ estimated from a "thermal" odd-even mass…

Nuclear Theory · Physics 2009-11-10 K. Kaneko , M. Hasegawa

The conditions of stability of the superfluid phase in double layer systems with pairing of spatially separated electrons and holes in the low density limit are studied. The general expression for the collective excitation spectrum is…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 D. V. Fil , S. I. Shevchenko

We discuss the phase diagram of the Bose-Hubbard (BH) model in the leading-order auxiliary field (LOAF) theory. LOAF is a conserving non-perturbative approximation that treats on equal footing the normal and anomalous density condensates.…

Quantum Gases · Physics 2015-06-15 John F. Dawson , Fred Cooper , Chih-Chun Chien , Bogdan Mihaila

Heat bath Monte Carlo simulations have been used to study a 12-state discretized Heisenberg model with a new type of random field on simple cubic lattices of size $128 \times 128 \times 128$. The 12 states correspond to the [110] directions…

Disordered Systems and Neural Networks · Physics 2022-01-04 Ronald Fisch

By holographic duality, we identify a novel dynamical phase transition which results from the temperature dependence of non-equilibrium dynamics of dark solitons in a superfluid.For a non-equilibrium superfluid system with an initial…

High Energy Physics - Theory · Physics 2020-01-29 Minyong Guo , Esko Keski-Vakkuri , Hong Liu , Yu Tian , Hongbao Zhang

Mean field theory is applied to nonequilibrium thermal energy transport in a model molecular junction. An approximation to the total time-dependent heat current in the junction is constructed using an ensemble of Ehrenfest trajectories, and…

Chemical Physics · Physics 2019-06-26 Aaron Kelly

We consider the relationship between the temperature at which averaged energy landscape properties change sharply ($T_{o}$), and the breakdown of mean-field treatments of the dynamics of supercooled liquids. First, we show that the solution…

Soft Condensed Matter · Physics 2009-11-10 Yisroel Brumer , David R. Reichman

We have investigated the phase transition properties of classical linear sigma model. The fields were kept in contact with a heat bath for sufficiently long time such that fields are equilibrated at the temperature of the heat bath. It was…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. K. Chaudhuri

We analyze the normal phase of the attractive Hubbard model within dynamical mean-field-theory. We present results for the pair-density, the spin-susceptibility, the specific heat, the momentum distribution, and for the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 M. Keller , W. Metzner , U. Schollwoeck

Bond-operator mean field equations for the square-lattice, S=1/2 bilayer Heisenberg model are developed and solved numerically. In the vicinity of both the zero-field critical point and the field-induced transitions, comparisons are made…

Strongly Correlated Electrons · Physics 2009-10-31 Yasuhiro Matsushita , Martin P. Gelfand , Chikara Ishii

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

We present a method that generalises the standard mean field theory of correlated lattice bosons to include amplitude and phase fluctuations of the $U(1)$ field that induces onsite particle number mixing. This arises formally from an…

Strongly Correlated Electrons · Physics 2018-07-19 Abhishek Joshi , Pinaki Majumdar