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Extreme value statistics of 2d Gaussian Free Field: effect of finite domains

Xiangyu Cao 1 Alberto Rosso 1 Raoul Santachiara 1 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.02LT02 We study minima statistics of the 2d Gaussian Free Field on circles in the unit disk with Dirichlet boundary condition. Free energy distributions of the associated Random Energy models are exactly calculated in the

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Exact statistics of record increments of random walks and L\’evy flights

Claude Godreche 1 Satya N. Majumdar 2 Gregory Schehr 2 Physical Review Letters, American Physical Society, 2016, 117, pp.010601 We study the statistics of increments in record values in a time series $\{x_0=0,x_1, x_2, \ldots, x_n\}$ generated by the positions of a random walk (discrete time, continuous space) of duration $n$ steps. For arbitrary jump

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Exact Short-Time Height Distribution in the One-Dimensional Kardar-Parisi-Zhang Equation and Edge Fermions at High Temperature

Pierre Le Doussal 1 Satya N. Majumdar 2 Alberto Rosso 2 Grégory Schehr 2 Physical Review Letters, American Physical Society, 2016, 117 (7), pp.070403 1. LPTENS – Laboratoire de Physique Théorique de l’ENS 2. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques

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Exact gap statistics for the random average process on a ring with a tracer

Julien Cividini 1 Anupam Kundu 2, 3, 1 Satya N. Majumdar 3 David Mukamel 1 Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.085002 We study statistics of the gaps in Random Average Process (RAP) on a ring with particles hopping symmetrically, except one tracer particle which could be driven. These particles

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Exact distributions of cover times for $N$ independent random walkers in one dimension

Satya N. Majumdar 1 Sanjib Sabhapandit 2 Gregory Schehr 1 Physical Review E , American Physical Society (APS), 2016, 94 (6), pp.062131 We study the probability density function (PDF) of the cover time $t_c$ of a finite interval of size $L$, by $N$ independent one-dimensional Brownian motions, each with diffusion constant $D$. The cover time

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Evidence of spin-temperature in dynamic nuclear polarization: an exact computation of the EPR spectrum

Filippo Caracciolo 1 Marta Filibian 1 Pietro Carretta 1 Alberto Rosso 2 Andrea De Luca 2 PCCP : Physical chemistry chemical physics, Royal Society of Chemistry, 2016, 18, pp.25655 In a dynamic nuclear polarization (DNP) procedure, the compound is driven out-of-equilibrium by microwave irradiation of the dipolar electron spins of the radical. The main outcome

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Equilibration Properties of Classical Integrable Field Theories

Andrea De Luca 1 Giuseppe Mussardo 2, 3 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2016, 064011 We study the equilibration properties of classical integrable field theories at a finite energy density, with a time evolution that starts from initial conditions far from equilibrium. These classical field theories may be regarded as quantum

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