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The conductance of a disordered finite-size electron system is calculated by reducing the initial dynamic problem of arbitrary dimensionality to strictly one-dimensional problems for one-particle mode propagators. The metallic ground state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. V. Tarasov

We study the absorbing phase transitions in coupled directed percolation (DP) processes with $N$-species particles in one dimension. The interspecies coupling is linear, bidirectional, and excitatory. We find that the presence of a…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Hyunggyu Park

Many driven systems alternate between bursts of activity and quiescence and can become trapped in an absorbing state, such as complete inactivity in reaction-diffusion processes or extinction in predator-prey dynamics. It is generally…

Statistical Mechanics · Physics 2026-05-14 Kartik Chhajed , P. K. Mohanty

The diffusion and bootstrap percolation models were studied in regular random and Erd\H{o}s-R\'{e}nyi networks using the modified Newman-Ziff algorithms. We calculated the percolation threshold and the order parameter of the percolation…

Statistical Mechanics · Physics 2022-02-18 Jeong-Ok Choi , Unjong Yu

We study the nature of the synchronization transition in spatially extended systems by discussing a simple stochastic model. An analytic argument is put forward showing that, in the limit of discontinuous processes, the transition belongs…

Statistical Mechanics · Physics 2010-01-19 F. Ginelli , R. Livi , A. Politi , A. Torcini

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

Hyperuniformity, whereby the static structure factor (or density correlator) obeys $S(q)\sim q^{\varsigma}$ with $\varsigma> 0$, emerges at criticality in systems having multiple absorbing states, such as periodically sheared suspensions.…

Statistical Mechanics · Physics 2023-10-27 Xiao Ma , Johannes Pausch , Michael E. Cates

A simple non-interacting-electron model, combining local quantum tunneling and global classical percolation (due to a finite dephasing time at low temperatures), is introduced to describe a metal-insulator transition in two dimensions. It…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yigal Meir

Coupled map lattice with pairwise local interactions is a well-studied system. However, in several situations, such as neuronal or social networks, multi-site interactions are possible. In this work, we study the coupled Gauss map in one…

Statistical Mechanics · Physics 2025-03-04 Manoj C. Warambhe , Prashant M. Gade

Using the time-dependent non-crossing approximation, we calculate the transient response of the current through a quantum dot subject to a finite bias when the dot level is moved suddenly into a regime where the Kondo effect is present.…

Strongly Correlated Electrons · Physics 2009-11-10 Martin Plihal , David C. Langreth , Peter Nordlander

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

Statistical Mechanics · Physics 2018-12-20 Keiichi Tamai , Masaki Sano

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the system belongs to a fully-entangled state,…

Quantum Physics · Physics 2020-05-08 Sagar Vijay

We give a physical description in terms of percolation theory of the phase transition that occurs when the disorder increases in the random antiferromagnetic spin-1 chain between a gapless phase with topological order and a random singlet…

Strongly Correlated Electrons · Physics 2009-10-30 C. Monthus , O. Golinelli , Th. Jolicoeur

We study the Gierer-Meinhardt model of reaction-diffusion on a site-disordered square lattice. Let $p$ be the site occupation probability of the square lattice. For $p$ greater than a critical value $p_c$, the steady state consists of…

Statistical Mechanics · Physics 2007-05-23 Indrani Bose , Indranath Chaudhuri

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

Disordered Systems and Neural Networks · Physics 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

This study investigates various phase transitions, including those of 2nd, 1st, and 0th order, in a holographic p-wave superfluid model incorporating 4th- and 6th-order nonlinear terms with coefficients $\lambda$ and $\tau$. We demonstrate…

High Energy Physics - Theory · Physics 2025-12-08 Yue-Peng Wang , Zi-Qiang Zhao , Hui Zeng , Zhang-Yu Nie

We study the transport properties of passive inertial particles in a $2-d$ incompressible flows. Here the particle dynamics is represented by the $4-d$ dissipative embedding map of $2-d$ area-preserving standard map which models the…

Chaotic Dynamics · Physics 2009-07-23 N. Nirmal Thyagu , Neelima Gupte

We perform combined resistivity and compressibility studies of two-dimensional hole and electron systems which show the apparent metal-insulator transition - a crossover in the sign of dR/dT with changing density. No thermodynamic anomalies…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. D. Allison , E. A. Galaktionov , A. K. Savchenko , S. S. Safonov , M. M. Fogler , M. Y. Simmons , D. A. Ritchie

We determine the first through fourth moments of the order parameter, and various ratios, for several one- and two-dimensional models with absorbing-state phase transitions. We perform a detailed analysis of the system-size dependence of…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman , Jafferson Kamphorst Leal da Silva
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