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We study incompressible systems of motile particles with alignment interactions. Unlike their compressible counterparts, in which the order-disorder (i.e., moving to static) transition, tuned by either noise or number density, is…

Soft Condensed Matter · Physics 2015-04-09 Leiming Chen , John Toner , Chiu Fan Lee

We consider a system of $N$ non-crossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occupation fraction in a finite interval in space. Remarkably, we…

Statistical Mechanics · Physics 2023-06-28 Soheli Mukherjee , Naftali R. Smith

A liquid droplet is fragmented by a sudden pressurized-gas blow, and the resulting droplets, adhered to the window of a flatbed scanner, are counted and sized by computerized means. The use of a scanner plus image recognition software…

Statistical Mechanics · Physics 2009-11-13 Cristian F. Moukarzel , Silvia F. Fernandez-Sabido , J. C. Ruiz-Suarez

High-mobility 2D electron systems in a perpendicular magnetic field exhibit zero resistance states (ZRS) when driven with microwave radiation. We study the nonequilibrium phase transition into this ZRS using phenomenological equations of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Alicea , L. Balents , M. P. A. Fisher , A. Paramekanti , L. Radzihovsky

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

Statistical Mechanics · Physics 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

We investigate a 2D dynamical absorbing state model of monodisperse disks, in which rich phase behavior arises from interactions consisting solely of repulsive displacements between overlapping particles. The phase diagram reveals several…

Soft Condensed Matter · Physics 2025-12-23 Ashley Z. Guo , Sam Wilken , Dov Levine , Paul M. Chaikin

The well-established universality classes of absorbing critical phenomena are directed percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with diffusion (PCPD) has been investigated extensively and claimed…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh , Hyunggyu Park

A two dimensional (2D) percolation transition in Fe/W(110) ultrathin magnetic films occurs when islands in the second atomic layer percolate and resolve a frustrated magnetic state to produce long-range in-plane ferromagnetic order. Novel…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 R. Belanger , D. Venus

The contact process is a stochastic process which exhibits a continuous, absorbing-state phase transition in the Directed Percolation (DP) universality class. In this work, we consider a contact process with a bias in conjunction with an…

Statistical Mechanics · Physics 2013-05-20 A. Costa , R. A. Blythe , M. R. Evans

We propose a novel finite size scaling analysis for percolation transition observed in complex networks. While it is known that cooperative systems in growing networks often undergo an infinite order transition with inverted…

Disordered Systems and Neural Networks · Physics 2013-11-08 Takehisa Hasegawa , Tomoaki Nogawa , Koji Nemoto

We study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices. We investigate the nature of localization of the particle by…

Disordered Systems and Neural Networks · Physics 2007-09-27 Md Fhokrul Islam , Hisao Nakanishi

We study one- and two-dimensional models which undergo a transition between active and absorbing phases. The transition point in these models is of novel type: jump of the order parameter coincides with its power-law singularity. Some…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially…

Pattern Formation and Solitons · Physics 2022-02-22 Frederik J. Thomsen , Lisa Rapp , Fabian Bergmann , Walter Zimmermann

Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have…

Statistical Mechanics · Physics 2015-07-13 Y. S. Cho , B. Kahng

We present an experimental study of density and order fluctuations in the vicinity of the solid-liquid-like transition that occurs in a vibrated quasi-two-dimensional granular system. The two-dimensional projected static and dynamic…

Statistical Mechanics · Physics 2015-06-04 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

In this paper we show, using scanning tunneling spectroscopy (STS), the existence of static striped density of electronic states in nearly optimally doped $\rm Bi_2Sr_2CaCu_2O_{8+\delta}$ in zero field. The observed modulation is strongest…

Superconductivity · Physics 2009-11-07 C. Howald , H. Eisaki , N. Kaneko , M. Greven , A. Kapitulnik

We investigate the phase transition in a non-planar correlated percolation model with long-range dependence, obtained by considering level sets of a Gaussian free field with mass above a given height $h$. The dependence present in the model…

Probability · Mathematics 2017-08-15 Pierre-François Rodriguez

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 study a quantum dot coupled to two semiconducting reservoirs, when the dot level and the electrochemical potential are both close to a band edge in the reservoirs. This is modelled with an exactly solvable Hamiltonian without…

Mesoscale and Nanoscale Physics · Physics 2019-09-12 Étienne Jussiau , Masahiro Hasegawa , Robert S. Whitney

Scaling nature of absorbing critical phenomena is well understood for the directed percolation (DP) and the directed Ising (DI) systems. However, a full analysis of the crossover behavior is still lacking, which is of our interest in this…

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