Author

Mrinal Sarkar

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Preprint Sep 2026

Fluctuation--Response Relation in Finite-Size Noisy Coupled Phase Oscillators

Fluctuation--response relations (FRRs) provide a fundamental relation between spontaneous fluctuations and the linear response to external perturbations, yet their validity in non-equilibrium systems remains an open problem. In a general class of noisy, finite-size, mean-field models of coupled phase oscillators, we re...

Mrinal Sarkar, Y. Yamaguchi · 0 citations

Preprint Jul 2026

Emergent quantum chaos from correlations on a random graph

This work demonstrates that sparse long-range random bonds on a one-dimensional lattice alone can generate quantum-chaotic spectral correlations and also drive a localization transition in a noninteracting single-particle Hamiltonian. The model is a one-dimensional ring in which each pair of sites is connected independ...

Mrinal Sarkar, Valerio Pagni, Tilman Enss et al. · 1 citation

Preprint Aug 2026

Universality of superdiffusion in simple random graphs

Random walks with long-range jumps can drive superdiffusive transport, replacing ordinary diffusion with an effective long-range kinetic operator. Such superdiffusive kinetics is also central to critical phenomena, notably the self-avoiding walk with long-range jump statistics, or L\'evy-SAW. This work investigates how...

Mrinal Sarkar, Nicoló Defenu, Tilman Enss · 0 citations