66 citations · 664 across the 84 of their papers we have counts for
18 papers · 1 filter
An exactly solvable asymmetric simple inclusion process
Arvind Ayyer, Samarth Misra
We study a generalization of the asymmetric simple inclusion process (ASIP) on a periodic one-dimensional lattice, where the integers in the particles rates are deformed to their $…
An exactly solvable asymmetric -exclusion process
Arvind Ayyer, Samarth Misra
We study an interacting particle process on a finite ring with sites with at most particles per site, in which particles hop to nearest neighbors with rates given in terms…
A simple symmetric exclusion process driven by an asymmetric tracer particle
Arvind Ayyer
We consider an exclusion process on a periodic one-dimensional lattice where all particles perform simple symmetric exclusion at rate except for a single tracer particle, which…
The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps
Erik Aas, Arvind Ayyer, Svante Linusson +1
We consider a finite one-dimensional totally asymmetric simple exclusion process (TASEP) with four types of particles, , in contact with reservoirs. Particles of…
The phase diagram for a multispecies left-permeable asymmetric exclusion process
Arvind Ayyer, Caley Finn, Dipankar Roy
We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram…
Matrix product solution of a left-permeable two-species asymmetric exclusion process
Arvind Ayyer, Caley Finn, Dipankar Roy
We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the `slower' species but the right boundary is not. We find a matrix product…
The exact phase diagram for a class of multispecies asymmetric exclusion processes
Arvind Ayyer, Dipankar Roy
The asymmetric exclusion process is an idealised stochastic model of transport, whose exact solution has given important insight into a general theory of nonequilibrium statistical…
Full Current Statistics for a Disordered Open Exclusion Process
Arvind Ayyer
We consider the nonabelian sandpile model defined on directed trees by Ayyer, Schilling, Steinberg and Thiéry (Commun. Math. Phys, 2013) and restrict it to the special case of a on…
A finite variant of the Toom Model
Arvind Ayyer
We present results for a finite variant of the one-dimensional Toom model with closed boundaries. We show that the steady state distribution is not of product form, but is nonethel…
Two-point correlation function of an exclusion process with hole-dependent rates
Priyanka, Arvind Ayyer, Kavita Jain
We consider an exclusion process on a ring in which a particle hops to an empty neighbouring site with a rate that depends on the number of vacancies in front of it. In the ste…
A Statistical Model of Current Loops and Magnetic Monopoles
Arvind Ayyer
We formulate a natural model of current loops and magnetic monopoles for arbitrary planar graphs, which we call the monopole-dimer model, and express the partition function of this…
Generalized matrix Ansatz in the multispecies exclusion process - partially asymmetric case
Chikashi Arita, Arvind Ayyer, Kirone Mallick +1
We investigate one of the simplest multispecies generalization of the asymmetric simple exclusion process on a ring. This process has a rich combinatorial spectral structure and a…
Recursive structures in the multispecies TASEP
Chikashi Arita, Arvind Ayyer, Kirone Mallick +1
We consider a multi-species generalization of the totally asymmetric simple exclusion process (TASEP) with the simple hopping rule: for x and yth-class particles (x<y), the transit…
On Some Classes of Open Two-Species Exclusion Processes
Arvind Ayyer, Joel L. Lebowitz, Eugene R. Speer
We investigate some properties of the nonequilibrium stationary state (NESS) of a one dimensional open system consisting of first and second class (type 1 and type 2) particles. Th…
Exact results for an asymmetric annihilation process with open boundaries
Arvind Ayyer, Kirone Mallick
We consider a nonequilibrium reaction-diffusion model on a finite one dimensional lattice with bulk and boundary dynamics inspired by Glauber dynamics of the Ising model. We show t…
Phase diagram of the ABC model on an interval
A. Ayyer, E. A. Carlen, J. L. Lebowitz +3
The three species asymmetric ABC model was initially defined on a ring by Evans, Kafri, Koduvely, and Mukamel, and the weakly asymmetric version was later studied by Clincy, Derrid…
On the Two Species Asymmetric Exclusion Process with Semi-Permeable Boundaries
Arvind Ayyer, Joel L. Lebowitz, Eugene R. Speer
We investigate the structure of the nonequilibrium stationary state (NESS) of a system of first and second class particles, as well as vacancies (holes), on L sites of a one-dimens…
Two Dimensional Directed Lattice Walks with Boundaries
Arvind Ayyer, Doron Zeilberger
We present general algorithms (fully implemented in Maple) for calculations of various quantities related to constrained directed walks for a general set of steps on the square lat…