Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2411.13119

Testing the generalized conjugate field formalism in the kinetic Ising model with nonantisymmetric magnetic fields: A Monte Carlo simulation study

Yusuf Yüksel
View original source ↗Read source document ↗Export metadata ↓

Abstract

We have performed Monte Carlo simulations for the investigation of dynamic phase transitions on a honeycomb lattice which has garnered a significant amount of interest from the viewpoint of tailoring the intrinsic magnetism in two-dimensional materials. For the system under the influence of time-dependent magnetic field sequences exhibiting the half-wave anti-symmetry, we have located a second order dynamic phase transition between dynamic ferromagnetic and dynamic paramagnetic states. Particular emphasis was devoted for the examination of the generalized conjugate field formalism previously introduced in the kinetic Ising model [\color{blue}Quintana and Berger, Phys. Rev. E \textbf{104}, 044125 (202); Phys. Rev. E \textbf{109}, 054112] \color{black}. Based on the simulation data, in the presence of a second magnetic field component with amplitude $H_{2}$ and period $P/2$, the half-wave anti-symmetry is broken and the generalized conjugate field formalism is found to be valid for the present system. However, dynamic scaling exponent significantly deviates from its equilibrium value along with the manifestation of a dynamically field polarized state for non-vanishing $H_{2}$ values.

Explore related subjects

cond-mat.stat-mech

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Yusuf Yüksel. 2024-11-20. Testing the generalized conjugate field formalism in the kinetic Ising model with nonantisymmetric magnetic fields: A Monte Carlo simulation study. https://arxiv.org/abs/2411.13119

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

The meaning of entropy (demonstration of a much needed theorem)

The association of information with entropy has been argued on plausibility arguments involving the operation of imaginary engines and beings, and it is not a universal theorem. In this paper, a theorem by Charles Bennett on reversible computation that associates entropy with erasure of information is recognized as this much needed theorem. It is proposed a real, non thermal engine, operated by humans. It is proved: (1) The engine obeys two laws, identical {\it mutatis mutandis} to the two laws of thermodynamics; therefore, the entropy that arises in the operation of the engine has the same meaning of the entropy that arises in the operation of thermal engines. (2) The engine operates in stages similar to the stages in Bennett's three tapes reversible computer; therefore the entropy in the engine has the same meaning of the entropy in computation. The conclusion is that also the thermal entropy is a measure of erased or missing information. As a side result, information is measured in physical units, which complies with Landauer's principle. A prototype at work is shown in video.

cond-mat.stat-mech↗
arXiv2026

Information geometry of perturbed gradient flow systems on hypergraphs: A perspective towards nonequilibrium physics

This article serves to concisely review the link between gradient flow systems on hypergraphs and information geometry which has been established within the last five years. Gradient flow systems describe a wealth of physical phenomena and provide powerful analytical technquies which are based on the variational energy-dissipation principle. Modern nonequilbrium physics has complemented this classical principle with thermodynamic uncertaintly relations, speed limits, entropy production rate decompositions, and many more. In this article, we formulate these modern principles within the framework of perturbed gradient flow systems on hypergraphs. In particular, we discuss the geometry induced by the Bregman divergence, the physical implications of dual foliations, as well as the corresponding infinitesimal Riemannian geometry for gradient flow systems. Through the geometrical perspective, we are naturally led to new concepts such as moduli spaces for perturbed gradient flow systems and thermodynamical area which is crucial for understanding speed limits. We hope to encourage the readers working in either of the two fields to further expand on and foster the interaction between the two fields.

cond-mat.stat-mech↗
arXiv2026

Anomalous diffusion and singular transport from hydrodynamic recoupling

In charge neutral fluids, such as the Dirac fluid in graphene at the Dirac point, charge transport remains diffusive despite the presence of ballistically propagating sound waves: sound waves ``hydrodynamically decouple'' from the slower charge fluctuations. For quasi-one-dimensional charge neutral fluids, we show that this convective charge diffusion is not smoothly connected to the normal diffusion that arises when momentum conservation is broken by noise (or static impurities). Instead, the charge diffusion constant is a discontinuous function of noise, which (in the weak-noise limit) depends only on the ratio of momentum and energy relaxation rates. In the special limit of momentum-conserving noise (e.g., spatially uniform fluctuations of the Hamiltonian), the diffusion constant diverges in the presence of noise. We describe the resulting superdiffusion in terms of coupled Burgers equations. We present a general mechanism---hydrodynamic recoupling---by which weak noise can induce singular changes in transport coefficients. Our results highlight the limits of zero-noise extrapolation for predicting dynamical quantities like diffusion constants.

cond-mat.stat-mech↗