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Renormalization group theory does not restrict the from of continuous variation of critical exponents which occurs in presence of a marginal operator. However, the continuous variation of critical exponents, observed in different contexts,…

Statistical Mechanics · Physics 2016-10-28 N. Khan , P. Sarkar , A. Midya , P. Mandal , P. K. Mohanty

Using transfer-matrix extended phenomenological renormalization-group methods the critical properties of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths ${\vec J}=(J',J',J)$ are studied.…

Statistical Mechanics · Physics 2009-11-10 M. A. Yurishchev

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche

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 have investigated scaling properties of the Aubry-Andr\'e model and related one-dimensional quasiperiodic Hamiltonians near their localisation transitions. We find numerically that the scaling of characteristic energies near the ground…

Disordered Systems and Neural Networks · Physics 2018-10-09 Attila Szabó , Ulrich Schneider

Hyperuniform particle arrangements are characterized by a local number variance that grows more slowly than the volume of the observation window. We generalize this concept to describe particle systems in which particles carry weights:…

Statistical Mechanics · Physics 2026-03-04 Salvatore Torquato , Jaeuk Kim , Michael A. Klatt , Roberto Car , Paul J. Steinhardt

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling…

Statistical Mechanics · Physics 2009-06-27 M. D. Grynberg , G. L. Rossini , R. B. Stinchcombe

We consider a $\phi^4$-theory with a position-dependent distance from the critical point. One realization of this model is a classical ferromagnet subject to non-uniform mechanical stress. We find a sharp phase transition where the envelope…

Statistical Mechanics · Physics 2009-11-13 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha

A previous work (Joshi et al., arXiv:1912.08822) found a deconfined critical point at non-zero doping in a $t$-$J$ model with all-to-all and random hopping and spin exchange, and argued for its relevance to the phenomenology of the…

Strongly Correlated Electrons · Physics 2020-10-28 Darshan G. Joshi , Subir Sachdev

We compute the critical exponents of three-dimensional magnets with strong dipole-dipole interactions using the functional renormalization group (FRG) within the local potential approximation including the wave function renormalization…

Statistical Mechanics · Physics 2026-05-15 Georgii Kalagov , Nikita Lebedev

Fluid three-phase equilibria, with phases $\alpha, \beta, \gamma$, are studied close to a tricritical point, analytically and numerically, in a mean-field density-functional theory with two densities. Employing Griffiths' scaling for the…

Statistical Mechanics · Physics 2025-10-30 Joseph O. Indekeu , Kenichiro Koga

A previous scaling analysis of pressure experiments in heavy fermion is reviewed and enlarged. We show that the critical exponents obtained from this analysis indicate that a one-parameter scaling describes these experiments. We obtain…

Strongly Correlated Electrons · Physics 2009-10-31 Mucio A. Continentino

Groundstates of certain materials can support exotic excitations with a charge that's a fraction of the fundamental electron charge. The condensation of these fractionalized particles has been predicted to drive novel quantum phase…

Strongly Correlated Electrons · Physics 2015-03-19 Sergei V. Isakov , Roger G. Melko , Matthew B. Hastings

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

Econometrics · Economics 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

In this paper we demonstrate that coordinate noncommutativity at short distances can show up in critical phenomena through UV-IR mixing. In the symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give rise to a…

High Energy Physics - Theory · Physics 2007-05-23 Guang-Hong Chen , Yong-Shi Wu

We study the irreversible adsorption of patchy particles on substrates in the limit of advective mass transport. Recent numerical results show that the interface roughening depends strongly on the particle attributes, such as, patch-patch…

Statistical Mechanics · Physics 2015-05-20 N. A. M. Araújo , C. S. Dias , M. M. Telo da Gama

Nonreciprocal interactions are widely observed in nonequilibrium systems, from biological or sociological dynamics to open quantum systems. Despite the ubiquity of nonreciprocity, its impact on phase transitions is not fully understood. In…

We propose a generalized Dicke model which supports a quantum tricritical point. We map out the phase diagram and investigate the critical behaviors of the model through exact low-energy effective Hamiltonian in the thermodynamic limit. As…

Quantum Physics · Physics 2019-06-05 Youjiang Xu , Han Pu

We study behaviour of dynamical critical exponents of the two-dimensional Ising model with a line of defects. Simulations done at an early time (first 100 Monte Carlo steps) reveal that the critical exponent of Janssen et al (Z. Phys. B 73…

Statistical Mechanics · Physics 2009-10-31 C. S. Simoes , J. R. Drugowich de Felicio