General criterion for harmonicity

Autor: Proesmans, Karel, Vandebroek, Hans, Broeck, Christian Van den
Rok vydání: 2017
Předmět:
Zdroj: Phys. Rev. Lett. 119, 147803 (2017)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.119.147803
Popis: Inspired by Kubo-Anderson Markov processes, we introduce a new class of transfer matrices whose largest eigenvalue is determined by a simple explicit algebraic equation. Applications include the free energy calculation for various equilibrium systems and a general criterion for perfect harmonicity, i.e., a free energy that is exactly quadratic in the external field. As an illustration, we construct a "perfect spring", namely a polymer with non-Gaussian, exponentially distributed sub-units which nevertheless remains harmonic until it is fully stretched. This surprising discovery is confirmed by Monte Carlo and Langevin simulations.
Databáze: arXiv