RT Journal Article
T1 Universal exotic dynamics in critical mesoscopic systems: simulating the square root of Avogadro’s number of spins
A1 Bisson, Mauro
A1 Vasilopoulos, Alexandros
A1 Bernaschi, Massimo
A1 Fatica, Massimiliano
A1 Fytas, Nikolaos G.
A1 Pemartín, Isidoro González-Adalid
A1 Martín Mayor, Víctor
AB We explicitly demonstrate the universality of critical dynamics through unprecedented large-scale Graphics Processing Units (GPU)-based simulations of two out-of-equilibrium processes, comparing the behavior of spin1/2 Ising and spin-1 Blume-Capel models on a square lattice. In the first protocol, a completely disordered system is instantaneously brought into contact with a thermal bath at the critical temperature, allowing it to evolve until the coherence length exceeds 103 lattice spacings. Finite-size effects are negligible due to the mesoscopic scale of the lattice sizes studied, with linear dimensions up to L = 222 and 219 for the Ising and Blume-Capel models, respectively. Our numerical data, and the subsequent analysis, demonstrate a strong dynamic universality between the two models and provide the most precise estimate to date of the dynamic critical exponent for this universality class, z = 2.1676(1). In the second protocol, we corroborate the role of the universal ratio of dynamic and static length scales in achieving an exponential acceleration in the approach to equilibrium just above the critical temperature, through a time-dependent variation of the thermal bath temperature. The results presented in this work leverage our Compute Unified Device Architecture (CUDA)-based numerical code, breaking the world record for the simulation speed of the Ising model.
PB American Physical Society
YR 2025
FD 2025-09-04
LK https://hdl.handle.net/20.500.14352/125604
UL https://hdl.handle.net/20.500.14352/125604
LA eng
NO Bisson, Mauro, et al. «Universal Exotic Dynamics in Critical Mesoscopic Systems: Simulating the Square Root of Avogadro’s Number of Spins». Physical Review Research, vol. 7, n.o 3, septiembre de 2025, p. 033218. DOI.org (Crossref), https://doi.org/10.1103/ngkf-7816
NO Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.EP/X026116/1
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
NO Engineering and Physical Sciences Research Council (UK)
DS Docta Complutense
RD 20 mar 2026