Exact Anomalous Current Fluctuations in a Deterministic Interacting Model.

@article{Krajnik2022ExactAC,
  title={Exact Anomalous Current Fluctuations in a Deterministic Interacting Model.},
  author={Žiga Krajnik and Johannes Schmidt and Vincent Pasquier and Enej Ilievski and Toma{\vz} Prosen},
  journal={Physical review letters},
  year={2022},
  volume={128 16},
  pages={
          160601
        }
}
We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium state, we employ asymptotic analysis to infer the structure of charge current fluctuations for a continuous range of timescales. The solution exhibits several unorthodox features. Most prominently, on the timescale of typical fluctuations the probability… 

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References

SHOWING 1-10 OF 28 REFERENCES
Fluctuations in Ballistic Transport from Euler Hydrodynamics
We propose a general formalism, within large-deviation theory, giving access to the exact statistics of fluctuations of ballistically transported conserved quantities in homogeneous, stationary
Full counting statistics in the free Dirac theory
  • T. Yoshimura
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2018
We study charge transport and fluctuations of the (3+1)-dimensional massive free Dirac theory. In particular, we focus on the steady state that emerges following a local quench whereby two
Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
AbstractWe show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a step
A hydrodynamic approach to non-equilibrium conformal field theories
We develop a hydrodynamic approach to non-equilibrium conformal field theory. We study non-equilibrium steady states in the context of one-dimensional conformal field theory perturbed by the $T\bar
Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium
Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
In this note, we present a simple derivation, from time-reversal symmetry, of fluctuation relations for steady-state large deviation functions in non-equilibrium quantum systems. We further show that
Microscopic versus macroscopic approaches to non-equilibrium systems
The one-dimensional symmetric simple exclusion process (SSEP) is one of the very few exactly soluble models of non-equilibrium statistical physics. It describes a system of particles which diffuse
A minimal model of dynamical phase transition
We calculate the large deviation functions characterizing the long-time fluctuations of the occupation of drifted Brownian motion and show that these functions have non-analytic points. This provides
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