D. C. Antonopoulou, P. W. Bates, D. Blömker, and G. D. Karali, Motion of a Droplet for the Stochastic Mass-Conserving Allen--Cahn Equation, SIAM Journal on Mathematical Analysis, vol.48, issue.1
DOI : 10.1137/151005105

F. Barret, Sharp asymptotics of metastable transition times for one dimensional SPDEs, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.51, issue.1, pp.129-166, 2015.
DOI : 10.1214/13-AIHP575

URL : https://hal.archives-ouvertes.fr/hal-00661733

F. Barret, A. Bovier, and S. Méléard, Uniform Estimates for Metastable Transition Times in a Coupled Bistable System, Electronic Journal of Probability, vol.15, issue.0, pp.323-345, 2010.
DOI : 10.1214/EJP.v15-751

URL : https://hal.archives-ouvertes.fr/hal-00400832

N. Berglund, Kramers' law: Validity, derivations and generalisations, Markov Process. Related Fields, vol.19, issue.3, pp.459-490, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00604399

N. Berglund and S. Dutercq, The Eyring???Kramers Law for Markovian Jump Processes with Symmetries, Journal of Theoretical Probability, vol.187, issue.3, pp.1-40, 2015.
DOI : 10.1007/s10959-015-0617-9

URL : https://hal.archives-ouvertes.fr/hal-00913302

N. Berglund, B. Fernandez, and B. Gentz, Metastability in interacting nonlinear stochastic differential equations: I. From weak coupling to synchronization, Nonlinearity, vol.20, issue.11, pp.2551-2581, 2007.
DOI : 10.1088/0951-7715/20/11/006

URL : https://hal.archives-ouvertes.fr/hal-00115416

N. Berglund, B. Fernandez, and B. Gentz, behaviour, Nonlinearity, vol.20, issue.11, pp.2583-2614, 2007.
DOI : 10.1088/0951-7715/20/11/007

URL : https://hal.archives-ouvertes.fr/hal-00115417

N. Berglund and B. Gentz, The Eyring?Kramers law for potentials with nonquadratic saddles, Markov Processes Relat. Fields, vol.16, pp.549-598, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00294931

N. Berglund and B. Gentz, Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond, Electronic Journal of Probability, vol.18, issue.0, 2013.
DOI : 10.1214/EJP.v18-1802

URL : https://hal.archives-ouvertes.fr/hal-00666605

A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein, Metastability in Reversible Diffusion Processes I: Sharp Asymptotics for Capacities and Exit Times, Journal of the European Mathematical Society, vol.6, issue.4, pp.399-424, 2004.
DOI : 10.4171/JEMS/14

A. Bovier, V. Gayrard, and M. Klein, Metastability in reversible diffusion processes II: precise asymptotics for small eigenvalues, Journal of the European Mathematical Society, vol.7, issue.1, pp.69-99, 2005.
DOI : 10.4171/JEMS/22

M. Cameron and E. Vanden-eijnden, Flows in Complex Networks: Theory, Algorithms, and Application to Lennard???Jones Cluster Rearrangement, Journal of Statistical Physics, vol.13, issue.4, pp.427-454, 2014.
DOI : 10.1007/s10955-014-0997-8

A. S. Deif, Rigorous perturbation bounds for eigenvalues and eigenvectors of a matrix, Journal of Computational and Applied Mathematics, vol.57, issue.3, pp.403-412, 1995.
DOI : 10.1016/0377-0427(93)E0208-4

F. Hollander, Metastability under stochastic dynamics. Stochastic Process, Appl, vol.114, issue.1, pp.1-26, 2004.

F. Hollander and S. Jansen, Metastability at low temperature for continuum interacting particle systems

S. Dutercq, In preparation, 2015.

S. Dutercq, Métastabilité dans les systèmes avec loi de conservation, 2015.

H. Eyring, The Activated Complex in Chemical Reactions, The Journal of Chemical Physics, vol.3, issue.2, pp.107-115, 1935.
DOI : 10.1063/1.1749604

L. Flatley and F. Theil, Face-centered cubic crystallization of atomistic configurations Archive for Rational Mechanics and Analysis, pp.363-416, 2015.

M. I. Freidlin and A. D. , Random Perturbations of Dynamical Systems, 1998.

G. H. Golub and C. F. Van-loan, Matrix computations. Johns Hopkins Studies in the Mathematical Sciences, 2013.

K. Hun, Metastability in interacting nonlinear stochastic differential equations, 2009.

S. Jansen and P. Jung, Wigner Crystallization in the Quantum 1D Jellium at All Densities, Communications in Mathematical Physics, vol.46, issue.11, pp.1133-1154, 2014.
DOI : 10.1007/s00220-014-2032-y

J. P. Keener, Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells, SIAM Journal on Applied Mathematics, vol.47, issue.3, pp.556-572, 1987.
DOI : 10.1137/0147038

H. A. Kramers, Brownian motion in a field of force and the diffusion model of chemical reactions, Physica, vol.7, issue.4, pp.284-304, 1940.
DOI : 10.1016/S0031-8914(40)90098-2

J. Mourrat and H. Weber, Convergence of the Two-Dimensional Dynamic Ising-Kac Model to ??24, Communications on Pure and Applied Mathematics, vol.172, issue.2, 2014.
DOI : 10.4007/annals.2010.172.1441

E. Olivieri and M. E. Vares, Large deviations and metastability, volume 100 of Encyclopedia of Mathematics and its Applications, 2005.

F. Otto, H. Weber, and M. G. Westdickenberg, Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size, Electronic Journal of Probability, vol.19, issue.0, p.76, 2014.
DOI : 10.1214/EJP.v19-2813

J. Rubinstein and P. Sternberg, Nonlocal reaction???diffusion equations and nucleation, IMA Journal of Applied Mathematics, vol.48, issue.3, pp.249-264, 1992.
DOI : 10.1093/imamat/48.3.249

J. Serre, Linear representations of finite groups Translated from the second French edition by, Graduate Texts in Mathematics, vol.42, 1977.

E. Vanden-eijnden and M. G. Westdickenberg, Rare Events in Stochastic Partial Differential Equations on??Large Spatial??Domains, Journal of Statistical Physics, vol.46, issue.6, pp.1023-1038, 2008.
DOI : 10.1007/s10955-008-9537-8