We present a simple one-dimensional Ising-type spin system on which we define a completely asymmetric Markovian single spin-flip dynamics. We study the system at a very low, yet nonzero, temperature, and we show that for free boundary conditions the Gibbs measure is stationary for such dynamics, while introducing in a single site a condition the stationary measure changes drastically, with macroscopical effects. We achieve this result defining an absolutely convergent series expansion of the stationary measure around the zero temperature system. Interesting combinatorial identities are involved in the proofs.
Procacci, A., Scoppola, B., Scoppola, E. (2018). Effects of Boundary Conditions on Irreversible Dynamics. ANNALES HENRI POINCARE', 19(2), 443-462 [10.1007/s00023-017-0627-5].
Effects of Boundary Conditions on Irreversible Dynamics
Scoppola B.;
2018-01-01
Abstract
We present a simple one-dimensional Ising-type spin system on which we define a completely asymmetric Markovian single spin-flip dynamics. We study the system at a very low, yet nonzero, temperature, and we show that for free boundary conditions the Gibbs measure is stationary for such dynamics, while introducing in a single site a condition the stationary measure changes drastically, with macroscopical effects. We achieve this result defining an absolutely convergent series expansion of the stationary measure around the zero temperature system. Interesting combinatorial identities are involved in the proofs.File | Dimensione | Formato | |
---|---|---|---|
pss2.pdf
accesso aperto
Tipologia:
Documento in Pre-print
Licenza:
Copyright dell'editore
Dimensione
191.9 kB
Formato
Adobe PDF
|
191.9 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.