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We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of…

Analysis of PDEs · Mathematics 2026-04-10 Jeongho Kim , Bora Moon

The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, $L$, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete''…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

We investigate the dependence of the order parameter profile, local and total susceptibilities on both the temperature and external magnetic field within the mean-filed Ginzburg-Landau Ising type model. We study the case of a film geometry…

Statistical Mechanics · Physics 2015-08-28 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

Using Hartree-Fock-Bogoliubov (HFB) approach we obtained analytical expressions for thermodynamic quantities of the system of triplons in spin gapped quantum magnets such as magnetization, heat capacity and the magnetic Gr{\"u}neisen…

Quantum Gases · Physics 2018-11-14 Abdulla Rakhimov , Zabardast Narzikulov , Andreas Schilling

Water has many anomalous properties compared to "simple" liquids, and these anomalies are typically enhanced in supercooled water. While numerous models have been proposed, including the liquid-liquid critical point, the singularity-free…

Chemical Physics · Physics 2020-10-28 Loni Kringle , Wyatt A. Thornley , Bruce D. Kay , Greg A. Kimmel

Based on a high temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a non-equilibrium steady state by a uniform bias E. The lowest nontrivial order already…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , R. K. P. Zia

We consider the Ising model at its critical temperature with external magnetic field $ha^{15/8}$ on the square lattice with lattice spacing $a$. We show that the truncated two-point function in this model decays exponentially with a rate…

Probability · Mathematics 2019-09-09 Federico Camia , Jianping Jiang , Charles M. Newman

The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz is analysed. Leading and sub-dominant scaling behaviour of the Fisher zeroes are determined exactly. The finite-size scaling, with corrections, of…

Statistical Mechanics · Physics 2009-11-07 W. Janke , R. Kenna

(Abridged) We study dissipative inflation in the regime where the dissipative term takes a specific form, \Gamma=\Gamma(\phi), analyzing two models in the weak and strong dissipative regimes with a SUSY breaking potential. After developing…

Astrophysics · Physics 2011-05-12 Lisa M. H. Hall , Hiranya V. Peiris

The ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann

Glass formers exhibit a viscoelastic behavior: at the laboratory timescale, they behave like (glassy) solids at low temperatures, and like liquids at high temperatures. Based on this observation, elastic models relate the long time…

Chemical Physics · Physics 2017-08-01 Emmanuel Guillaud , Laurent Joly , Dominique De Ligny , Samy Merabia

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

We discuss the dependence of the phase diagram of a hypothetical isotope of helium with nuclear mass less than 4 atomic mass units. We argue that with decreasing nucleus mass, the temperature of the superfluid phase transition (about 2.2 K…

Quantum Gases · Physics 2021-01-18 Dam Thanh Son , Mikhail Stephanov , Ho-Ung Yee

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jonathan Machta

We develop a scaling theory for the finite-size critical behavior of the microcanonical entropy (density of states) of a system with a critically-divergent heat capacity. The link between the microcanonical entropy and the canonical energy…

Statistical Mechanics · Physics 2009-10-31 A. D. Bruce , N. B. Wilding

Determining the electronic and dielectric properties of water at high pressure and temperature is an essential prerequisite to understand the physical and chemical properties of aqueous environments under supercritical conditions, e.g. in…

Materials Science · Physics 2014-08-07 Ding Pan , Quan Wan , Giulia Galli

The predictions of a class of phenomenological trap models of supercooled liquids are tested via computer simulation of a model glass-forming liquid. It is found that a model with a Gaussian distribution of trap energies provides a good…

Soft Condensed Matter · Physics 2007-05-23 R. Aldrin Denny , David R. Reichman , Jean-Philippe Bouchaud

We obtain a rigorous upper bound on the resistivity $\rho$ of an electron fluid whose electronic mean free path is short compared to the scale of spatial inhomogeneities. When such a hydrodynamic electron fluid supports a non-thermal…

Strongly Correlated Electrons · Physics 2018-04-24 Andrew Lucas , Sean A. Hartnoll

This work extends the thermodynamic analysis of random bond percolation to explosive and hybrid percolation models. We show that this thermodynamic analysis is well applicable to both explosive and hybrid percolation models by using the…

Statistical Mechanics · Physics 2025-05-20 Seonghyeon Moon , Young Sul Cho

The Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a degree (or connectivity) distribution $P(k) \sim k^{-\gamma}$. The ferromagnetic-paramagnetic…

Statistical Mechanics · Physics 2009-11-10 Carlos P. Herrero