We investigate a new research area: we are interested in the ultimate thermodynamic cost of computing from x to y. Other than its fundamental importance, such research has implications for future miniaturiza-tion of VLSI chips reducing the energy dissipation below kT (thermal noise), and the similarity distance problem in pattern recognition. It turns out that the theory of thermodynamic cost o...

We review the computation of the thermodynamic pressure of the entire minimal standard model to three loop order, performed in [ 1].

Mappings of classical computation onto statistical mechanics models have led to remarkable successes in addressing some complex computational problems. However, such mappings display thermodynamic phase transitions that may prevent reaching solution even for easy problems known to be solvable in polynomial time. Here we map universal reversible classical computations onto a planar vertex model ...

The thermodynamics of computation assumes that computational processes at the molecular level can be brought arbitrarily close to thermodynamical reversibility; and that thermodynamic entropy creation is unavoidable only in data erasure or the merging of computational paths, in accord with Landauer’s principle. The no go result shows that fluctuations preclude completion of thermodynamically re...

Biological organisms must perform computation as they grow, reproduce and evolve. Moreover, ever since Landauer's bound was proposed, it has been known that all computation has some thermodynamic cost-and that the same computation can be achieved with greater or smaller thermodynamic cost depending on how it is implemented. Accordingly an important issue concerning the evolution of life is asse...

The growth kinetics of a dendrite tip are paramount importance for microstructure modelling in materials science and engineering. However, theories multicomponent alloys limited, primarily due to approximations the relevant thermodynamic data. present contribution first reports on pragmatic implementation general framework coupled with equilibrium calculations. It is applied widely used IN718 n...