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A binary liquid near its consolute point exhibits critical fluctuations of the local composition; the diverging correlation length has always challenged simulations. The method of choice for the calculation of critical points in the phase…

Statistical Mechanics · Physics 2021-04-29 Yogyata Pathania , Dipanjan Chakraborty , Felix Höfling

We investigate the analytical properties of the s-wave and p-wave holographic insulator/superconductor phase transitions at zero temperature. In the probe limit, we analytically calculate the critical chemical potentials at which the…

High Energy Physics - Theory · Physics 2011-06-30 Rong-Gen Cai , Huai-Fan Li , Hai-Qing Zhang

We calculate the critical exponent $\eta$ of the $D$-dimensional Ising model from a simple truncation of the functional renormalization group flow equations for a scalar field theory with long-range interaction. Our approach relies on the…

Statistical Mechanics · Physics 2018-09-18 Raphael Goll , Peter Kopietz

We analyze from the renormalization group perspective a universality class of reaction-diffusion systems with absorbing states. It describes models where the vacuum state is not accessible, as the set of reactions $2 A \to A$ together with…

Statistical Mechanics · Physics 2007-05-23 Omar Al Hammal , Juan A. Bonachela , Miguel A. Munoz

We study the phenomenon of composite operator renormalization and mixing in systems where time-translational invariance is broken and the evolution is out-of-equilibrium. We show that composite operators mix also through non-local memory…

High Energy Physics - Phenomenology · Physics 2013-07-16 Simone Dresti , Antonio Riotto

We use fidelity susceptibility to calculate quantum critical scaling exponents for a system consisting of $N$ identical bosons interacting with a single impurity atom in a double well potential (bosonic Josephson junction). Above a critical…

Quantum Gases · Physics 2014-12-22 J. Mumford , D. H. J. O'Dell

Using large-scale Monte Carlo computations, we study two versions of a $(1+1)D$ $Z_4$-symmetric model with Ohmic bond dissipation. In one of these versions, the variables are restricted to the interval $[0,2\pi>$, while the domain is…

Statistical Mechanics · Physics 2015-05-28 Einar B. Stiansen , Iver Bakken Sperstad , Asle Sudbø

It is expected that conformal symmetry is an emergent property of many systems at their critical point. This imposes strong constraints on the critical behavior of a given system. Taking them into account in theoretical approaches can lead…

Statistical Mechanics · Physics 2024-06-26 Bertrand Delamotte , Gonzalo De Polsi , Matthieu Tissier , Nicolás Wschebor

This is a summarising investigation of the events of the phase transition of the first order that occur in the critical region below the liquid-gas critical point. The grand partition function has been completely integrated in the…

Statistical Mechanics · Physics 2015-01-13 I. R. Yukhnovskii

We carry out numerical simulations to study transport behavior about the jamming transition of a model granular material in two dimensions at zero temperature. Shear viscosity \eta is computed as a function of particle volume density \rho…

Soft Condensed Matter · Physics 2011-11-09 Peter Olsson , S. Teitel

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi

Critical behaviour of a system, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. Specifically, relaxational stochastic dynamics of a non-conserved multicomponent order…

Statistical Mechanics · Physics 2012-06-11 N. V. Antonov , A. V. Malyshev

Recent work on exact renormalization group flow equations has pointed out the possibility to study critical phenomena in continuous dimension D of space. In an investigation of the O(N) model the dimension N of the fields may be seen as a…

High Energy Physics - Theory · Physics 2007-05-23 H. Ballhausen

Within the massive field theoretical renormalization group approach the expressions for the beta- and gamma-functions of the anisotropic mn-vector model are obtained for general space dimension d in three-loop approximation. Resumming…

Condensed Matter · Physics 2015-06-25 Yu. Holovatch , T. Yavors'kii

We investigate the critical dynamics of O(N)-symmetric scalar field theories to determine the critical exponents of transport coefficients as a second-order phase transition is approached from the symmetric phase. A set of stochastic…

High Energy Physics - Phenomenology · Physics 2015-03-19 Eiji Nakano , Vladimir Skokov , Bengt Friman

The two-phase composite approach of Estrin et al. (1998) describes an evolving dislocation cell structure. Mckenzie et al. (2007) enhanced the model to capture the effects of hydrostatic pressure and temperature during severe plastic…

Materials Science · Physics 2013-03-08 C. B. Silbermann , A. V. Shutov , J. Ihlemann

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

The operator product expansion is used to compute the matrix elements of composite renormalized operators on the lattice. We study the product of two fundamental fields in the two-dimensional sigma-model and discuss the possible sources of…

High Energy Physics - Lattice · Physics 2015-06-25 Sergio Caracciolo , Andrea Montanari , Andrea Pelissetto

We have studied the one dimensional Dyson hierarchical model in presence of a random field. This is a long range model where the interactions scale with the distance with a power law-like form J(r) ~ r^{-\rho} and we can explore mean field…

Disordered Systems and Neural Networks · Physics 2014-07-23 Giorgio Parisi , Jacopo Rocchi

We introduce the general formulation of a renormalization method suitable to study the critical properties of non-equilibrium systems with steady-states: the Dynamically Driven Renormalization Group. We renormalize the time evolution…

Statistical Mechanics · Physics 2008-02-03 Alessandro Vespignani , Stefano Zapperi , Vittorio Loreto