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In this chapter we study systems governed by master equations and defined in a lattice. To each sitio of lattice there is a stochastic variable that takes only two values which we choose to be + 1 or − 1.

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic equilibrium inducing a continuous generation of entropy. The systems evolve in time according to a Fokker-Planck or to...

The transport properties of a bosonic chain have been calculated by placing the ends of the chain in contact with thermal and particle reservoirs at different temperatures and chemical potentials.

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This was achieved by generating in advance the percolating cluster, through website the use of an appropriate epidemic model, and then by the simulation of the contact process on the top of the percolating cluster. The...

We study here the processes that can be understood as a random walk along a straight line, but with transition rate that depend on the position where the walker is.

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However, we will study only systems constituted by particles of a single type. Thus the possible reaction involve the annihilation or here creation of particles of the same type. The particles are locat...

The ordered structure, strictly speaking, does not mean that the atoms more info are located exactly on the sites of the lattice as they are in constant motion due to thermal...

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