Exact hyperuniformity exponents and entropy cusps in models of active-absorbing transition

Dandekar, Rahul

doi:10.1209/0295-5075/132/10008

Cited by 4 publications

(1 citation statement)

References 31 publications

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“…The generalized susceptibility α ic describes the amount of fluctuations in the initial ensemble. For the quenched or hyperuniform [60,61] initial conditions, α ic = 0, while for annealed initial conditions, because local equilibrium is a Poisson state, α ic = 1.…”

Section: The Variance For a General Initial Conditionmentioning

confidence: 99%

Macroscopic fluctuations of a driven tracer in the symmetric exclusion process

Dandekar¹,

Mallick²

2022

J. Phys. A: Math. Theor.

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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 hydrodynamics of the SEP with an asymmetric tracer with a step initial condition, leading to the average displacement as a function of the bias and the densities on both sides. We then derive the cumulant generating function of the process in the high-density limit, by using the Macroscopic Fluctuation Theory and obtain agreement with the microscopic results of Poncet et al (2021). For more general initial conditions, we show that the tracer variance in the high-density limit depends only on the generalized susceptibility in the initial condition.

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Section: The Variance For a General Initial Conditionmentioning

confidence: 99%

Macroscopic fluctuations of a driven tracer in the symmetric exclusion process

Dandekar¹,

Mallick²

2022

J. Phys. A: Math. Theor.

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Hyperuniformity in Ashkin–Teller model

Mukherjee,

Mohanty

2024

J. Phys.: Condens. Matter

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We show that equilibrium systems in d dimension that obey the inequality dν > 2, known as Harris criterion, exhibit suppressed energy ﬂuctuation in their critical state. Ashkin-Teller model is an example in d = 2 where the correlation length exponent ν varies continuously with the inter-spin interaction strength λ and exceeds the value d/2 set by Harris criterion when λ is negative; there, the variance of the subsystem energy across a length scale l varies as l d-α with hyperuniformity exponent α = 2(1 − 1/ν). Point conﬁgurations constructed by assigning unity to the sites which has coarse-grained energy beyond a threshold value also exhibit suppressed number ﬂuctuation and hyperuniformiyty with same exponent α.

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