Critical Phenomena
Criticality in Number Theoretical Systems
We make use of the Statistical Physics formalism to investigate the onset of phase transitions and criticality in number theoretic systems, i.e. systems whose elements are integers which interact according to arithmetic properties.
Key papers
Self-organized criticality in number theoretic systems
Number theoretic example of scale-free topology inducing self-organized criticality
Bartolo Luque, Octavio Miramontes, Lucas Lacasa
Physical Review Letters 101, 158702 (2008) pdf
Featured in Investigacion y Ciencia (spanish version of Scientific American)
Phase transitions in combinatorial systems
Bartolo Luque, Lucas Lacasa, Octavio Miramontes
Physical Review E 76, 010103 (R) (2007)
Lucas Lacasa, Bartolo Luque, Octavio Miramontes
New Journal of Physics 10 (2008) 023009
Phase transition in the Countdown problem
Lucas Lacasa, Bartolo Luque
Physical Review E 86, 010105(R) (2012)
Featured in Investigacion y Ciencia (spanish version of Scientific American)
Phase transitions in Number Theory: from the Birthday Problem to Sidon Sets
Bartolo Luque, Iván G. Torre, Lucas Lacasa
Physical Review E 88, 052119 (2013)
Phase transitions in random field models
We investigate the emergence of criticality and possible violations of the fluctuation-dissipation theorem in a Ginzburg-Landau model with additive quenched noise
Key papers
Critical behavior of a Ginzburg-Landau model with additive quenched noise
Niko Komin, Lucas Lacasa, Raúl Toral
Journal of Statistical Mechanics (2010) P12008
Jamming transition
We investigate the emergence of a jamming phase transition in an air transportation model, where the overall delay predictability is minimal close to the critical point that underpins the jamming transition.
Key papers
Jamming transition in air transportation networks
Lucas Lacasa, Miguel Cea, Massimiliano Zanin
Physica A 388 (2009) 3948-3954