I. Waki, S. Kassner, G. Birkl, and H. Walther, Observation of ordered structures of laser-cooled ions in a quadrupole storage ring, Physical Review Letters, vol.68, issue.13, p.2007, 1992.
DOI : 10.1103/PhysRevLett.68.2007

R. Blatt and D. Wineland, Entangled states of trapped atomic ions, Nature, vol.88, issue.7198, p.1008, 2008.
DOI : 10.1038/nature07125

B. Liu and J. Goree, Phonons in a one-dimensional Yukawa chain: Dusty plasma experiment and model, Physical Review E, vol.71, issue.4, p.46410, 2005.
DOI : 10.1103/PhysRevE.71.046410

A. Melzer, Zigzag transition of finite dust clusters, Physical Review E, vol.73, issue.5, p.56404, 2006.
DOI : 10.1103/PhysRevE.73.056404

T. E. Sheridan and K. D. Wells, Dimensional phase transition in small Yukawa clusters, Physical Review E, vol.81, issue.1, p.16404, 2010.
DOI : 10.1103/PhysRevE.81.016404

J. Delfau, C. Coste, C. Even, and M. S. Jean, Single-file diffusion of interacting particles in a finite-sized channel, Physical Review E, vol.82, issue.3, p.31201, 2010.
DOI : 10.1103/PhysRevE.82.031201

URL : https://hal.archives-ouvertes.fr/hal-01404851

D. H. Dubin, Minimum energy state of the one-dimensional Coulomb chain, Physical Review E, vol.55, issue.4, p.4017, 1997.
DOI : 10.1103/PhysRevE.55.4017

J. P. Schiffer, Order in confined ions, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.36, issue.3, p.511, 2003.
DOI : 10.1088/0953-4075/36/3/309

H. Van-beijeren, K. W. Kehr, and R. Kutner, Diffusion in concentrated lattice gases. III. Tracer diffusion on a one-dimensional lattice, Physical Review B, vol.28, issue.10, p.5711, 1983.
DOI : 10.1103/PhysRevB.28.5711

C. Rödenbeck, J. Kärger, and K. Hahn, Calculating exact propagators in single-file systems via the reflection principle, Physical Review E, vol.57, issue.4, p.4382, 1998.
DOI : 10.1103/PhysRevE.57.4382

L. Lizana and T. Ambjörnsson, Diffusion of finite-sized hard-core interacting particles in a one-dimensional box: Tagged particle dynamics, Physical Review E, vol.80, issue.5, p.51103, 2009.
DOI : 10.1103/PhysRevE.80.051103

E. Montroll and R. Potts, Effect of Defects on Lattice Vibrations, Physical Review, vol.100, issue.2, p.525, 1955.
DOI : 10.1103/PhysRev.100.525

J. Delfau, C. Coste, and M. S. Jean, Single-file diffusion of particles with long-range interactions: Damping and finite-size effects, Physical Review E, vol.84, issue.1, p.11101, 2011.
DOI : 10.1103/PhysRevE.84.011101

URL : https://hal.archives-ouvertes.fr/hal-01404847

D. T. Gillespie, Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral, Physical Review E, vol.54, issue.2, p.2084, 1996.
DOI : 10.1103/PhysRevE.54.2084

D. T. Gillespie, The mathematics of Brownian motion and Johnson noise, American Journal of Physics, vol.64, issue.3, p.225, 1996.
DOI : 10.1119/1.18210