Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.
On Hamiltonian perturbations of hyperbolic systems of conservation laws, II: universality of critical behaviour
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Hamiltonian perturbations of the simplest hyperbolic equation $u_t + a(u) u_x=0$ are studied. We argue that the behaviour of solutions to the perturbed equation near the point of gradient catastrophe of the unperturbed one should be essentially independent on the choice of generic perturbation neither on the choice of generic solution. Moreover, this behaviour is described by a special solution to an integrable fourth order ODE.
fields
cond-mat.stat-mech 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Phase transitions and finite-size effects in integrable virial statistical models
Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.