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We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

Statistical Mechanics · Physics 2015-05-27 Matthieu Tissier , Gilles Tarjus

We consider the Ising model between 2 and 4 dimensions perturbed by quenched disorder in the strength of the interaction between nearby spins. In the interval 2<d<4 this disorder is a relevant perturbation that drives the system to a new…

High Energy Physics - Theory · Physics 2019-10-08 Zohar Komargodski , David Simmons-Duffin

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an…

Statistical Mechanics · Physics 2009-02-06 M. Grousson , G. Tarjus , P. Viot

Using Monte Carlo simulations we study the two-dimensional Ising model on triangular, square, and hexagonal lattices with various topologies. We focus on the behavior of the magnetic susceptibility and of the specific heat near the critical…

Statistical Mechanics · Physics 2023-08-09 Oleg A. Vasilyev , Anna Maciolek , S. Dietrich

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno

We study domain-wall excitations in two-dimensional random-bond Ising spin systems on a square lattice with side length L, subject to two different continuous disorder distributions. In both cases an adjustable parameter allows to tune the…

Disordered Systems and Neural Networks · Physics 2009-05-06 O. Melchert , A. K. Hartmann

Material functionality can be strongly determined by structure extending only over nanoscale distances. The pair distribution function presents an opportunity to shift structural studies beyond idealized crystal models and investigate…

Via Monte Carlo simulations we study nonequilibrium dynamics in the nearest-neighbor Ising model, following quenches to points inside the ordered region of the phase diagram. With the broad objective of quantifying the nonequilibrium…

Statistical Mechanics · Physics 2020-06-24 Koyel Das , Nalina Vadakkayil , Subir K. Das

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki…

Statistical Mechanics · Physics 2017-11-09 Prasenjit Das , Tanusri Saha-Dasgupta , Sanjay Puri

Systems with nonreciprocal interactions generically display time-dependent states. These are routinely observed in finite systems, from neuroscience to active matter, in which globally ordered oscillations exist. However, the stability of…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field critical behavior. Instead of constructing high-dimensional…

Statistical Mechanics · Physics 2011-11-24 Seung Ki Baek , Jaegon Um , Su Do Yi , Beom Jun Kim

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. In Part I, we introduced a general formalism for describing such systems and presented the mean…

Statistical Mechanics · Physics 2009-10-31 J. Hausmann , P. Rujan

The quantum phase transition between two clean, non interacting topologically distinct gapped states in three dimensions is governed by a massless Dirac fermion fixed point, irrespective of the underlying symmetry class, and this…

Disordered Systems and Neural Networks · Physics 2017-02-20 Pallab Goswami , Sudip Chakravarty

The known Pfaffian structure of the boundary spin correlations, and more generally order-disorder correlation functions, is given a new explanation through simple topological considerations within the model's random current representation.…

Mathematical Physics · Physics 2022-01-25 Michael Aizenman , Hugo Duminil-Copin , Vincent Tassion , Simone Warzel

We present large-scale Monte-Carlo simulations of a two-dimensional (2d) bilayer quantum Heisenberg antiferromagnet with random dimer dilution. In contrast to the exotic scaling scenarios found in many other random quantum systems, the…

Strongly Correlated Electrons · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta , Matthias Vojta

Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both…

Statistical Mechanics · Physics 2009-10-30 F. Igloi , P. Lajko , W. Selke , F. Szalma

Following quenches of initial configurations having long range spatial correlations, prepared at the demixing critical point, to points inside the miscibility gap, we study aging phenomena in solid binary mixtures. Results on the decay of…

Statistical Mechanics · Physics 2020-04-22 Subir K. Das , Koyel Das , Nalina Vadakkayil , Saikat Chakraborty , Subhajit Paul

The effects of bond randomness on the universality aspects of the simple cubic lattice ferromagnetic Blume-Capel model are discussed. The system is studied numerically in both its first- and second-order phase transition regimes by a…

Statistical Mechanics · Physics 2012-06-01 A. Malakis , A. Nihat Berker , N. G. Fytas , T. Papakonstantinou

Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which…

Statistical Mechanics · Physics 2009-10-31 R. B. Stinchcombe , J. E. Santos , M. D. Grynberg

We investigate the transverse field Ising model on a diamond chain using series expansions about the high-field limit and exact diagonalizations. For the unfrustrated case we accurately determine the quantum critical point and its expected…

Strongly Correlated Electrons · Physics 2014-09-29 K. Coester , W. Malitz , S. Fey , K. P. Schmidt
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