Exact Extremal Statistics in the Classical 1D Coulomb Gas
Abhishek DharAnupam KunduSatya Majumdar 1 Sanjib SabhapanditGrégory Schehr 1 Phys.Rev.Lett., 2017, 119 (6), pp.060601. 〈10.1103/PhysRevLett.119.060601〉 We consider a one-dimensional classical Coulomb gas of N-like charges in a harmonic potential—also known as the one-dimensional one-component plasma. We compute, analytically, the probability distribution of the position xmax of the rightmost charge in the limit of large N. […]
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