Zobrazeno 1 - 10
of 207
pro vyhledávání: '"Mallick, Kirone"'
We study large fluctuations of the current in a Dyson gas, a 1D system of particles interacting through a logarithmic potential and subjected to random noise. We adapt the macroscopic fluctuation theory to the Dyson gas and derive two coupled partial
Externí odkaz:
http://arxiv.org/abs/2409.06881
Publikováno v:
Phys. Rev. Lett. 133, 117102 (2024)
The symmetric simple exclusion process (SEP), where diffusive particles cannot overtake each other, is a paradigmatic model of transport in the single-file geometry. In this model, the study of currents has attracted a lot of attention, but so far mo
Externí odkaz:
http://arxiv.org/abs/2404.18481
We give a short overview of recent developments in exact solutions for macroscopic fluctuation theory by using connections to classical integrable systems. A calculation of the cumulant generating function for a tagged particle is also given, agreein
Externí odkaz:
http://arxiv.org/abs/2404.16434
Publikováno v:
Phys. Rev. E 109, 024127 (2024)
We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles are partially asymmetric. The presence of the free defect creates locali
Externí odkaz:
http://arxiv.org/abs/2307.06770
Publikováno v:
J. Phys. A: Math. Theor. 2023 (56) 165003
We work towards the classification of all one-dimensional exclusion processes with two species of particles that can be solved by a nested coordinate Bethe Ansatz. Using the Yang-Baxter equations, we obtain conditions on the model parameters that ens
Externí odkaz:
http://arxiv.org/abs/2212.11646
We consider an infinite system of particles on a line performing identical Brownian motions and interacting through the $|x-y|^{-s}$ Riesz potential, causing the over-damped motion of particles. We investigate fluctuations of the integrated current a
Externí odkaz:
http://arxiv.org/abs/2212.05583
Autor:
Dandekar, Rahul, Mallick, Kirone
The dynamics of an asymmetric tracer in the symmetric simple exclusion process (SEP) is mapped, in the continuous scaling limit, to the local current through the origin in the zero-range process (ZRP) with a biased bond. This allows us to study the h
Externí odkaz:
http://arxiv.org/abs/2207.11242
We present the first exact solution for the time dependent equations of the macroscopic fluctuation theory (MFT) for the symmetric simple exclusion process by combining a generalization of the canonical Cole-Hopf transformation with the inverse scatt
Externí odkaz:
http://arxiv.org/abs/2202.05213
Publikováno v:
J. Phys. A: Math. Theor. 55, 205002 (2022)
A one-dimensional, driven lattice gas with a freely moving, driven defect particle is studied. Although the dynamics of the defect are simply biased diffusion, it disrupts the local density of the gas, creating nontrivial nonequilibrium steady states
Externí odkaz:
http://arxiv.org/abs/2111.09658
We analyze the time evolution of an open quantum system driven by a localized source of bosons. We consider non-interacting identical bosons that are injected into a single lattice site and and perform a continuous time quantum walks on a lattice. We
Externí odkaz:
http://arxiv.org/abs/1911.08617