Universality, where microscopic details become irrelevant, takes place in thermodynamic phase transitions. The universality is captured by a singular scaling function of the thermodynamic variables, where the scaling exponents are determined by symmetries and dimensionality only. Universality can persist even for nonequilibrium phase transitions. It implies that a hydrodynamic approach can capture the singular universal scaling function, even far from equilibrium. In particular, we show these results for phase transitions in the large deviation function of the current in diffusive systems with particle-hole symmetry. For such systems, we find the scaling exponents of the universal function and show they are independent of microscopic details as well as boundary conditions.
Bibliographical noteFunding Information:
We thank Y. Baek, N. Gromov, O. Hirschberg, V. Kazakov, and Elsen Tjhung for fruitful discussions. We especially thank B. Derrida for many insightful remarks. O.S. acknowledges the support of Grant No. ANR-14-CE25-0003. The work of J.C. was supported by the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7/2007-2013/ under REA Grant Agreement No. 317089 (GATIS), by the European Research Council (Programme “Ideas” ERC-2012-AdG Grant No. 320769) AdS-CFT-solvable, from the ANR Grant StrongInt (BLANC-SIMI-4-2011). This work was granted access to the HPC resources of MesoPSL financed by the Region Ile de France and the project Equip@Meso (Reference No. ANR-10-EQPX-29-01) of the program Investissements d'Avenir supervised by the Agence Nationale pour la Recherche. This work was also granted access to the HPC resources of CINES/TGCC under the allocation 2018-A0042A10457 made by GENCI.
© 2018 American Physical Society.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics