26 citations · 80 across the 8 of their papers we have counts for
8 papers · 1 filter
Nonequilibrium spin transport in integrable and non-integrable classical spin chains
Dipankar Roy, Abhishek Dhar, Herbert Spohn +1
Anomalous transport in low dimensional spin chains is an intriguing topic that can offer key insights into the interplay of integrability and symmetry in many-body dynamics. Recent…
Out-of-time-ordered correlator in the one-dimensional Kuramoto-Sivashinsky and Kardar-Parisi-Zhang equations
Dipankar Roy, David A. Huse, Manas Kulkarni
The out-of-time-ordered correlator (OTOC) has emerged as an interesting object in both classical and quantum systems for probing the spatial spread and temporal growth of initially…
Robustness of Kardar-Parisi-Zhang scaling in a classical integrable spin chain with broken integrability
Dipankar Roy, Abhishek Dhar, Herbert Spohn +1
Recent investigations have observed superdiffusion in integrable classical and quantum spin chains. An intriguing connection between these spin chains and Kardar-Parisi-Zhang (KPZ)…
The phase diagram for a class of multispecies permissive asymmetric exclusion processes
Dipankar Roy
In this article, we investigate a multispecies generalization of the single-species asymmetric simple exclusion process defined on an open one-dimensional lattice. We devise an exa…
The one-dimensional Kardar-Parisi-Zhang and Kuramoto-Sivashinsky universality class: limit distributions
Dipankar Roy, Rahul Pandit
Tracy-Widom and Baik-Rains distributions appear as universal limit distributions for height fluctuations in the one-dimensional Kardar-Parisi-Zhang (KPZ) \textit{stochastic} partia…
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…