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The grand-canonical asymmetric exclusion process and the one-transit walk
The one-dimensional asymmetric exclusion process (ASEP) is a paradigm for nonequilibrium dynamics, in particular driven diffusive processes. It is usually considered in a canonical ensemble in which… Expand
A comparison of mathematical methods for the analysis of DNA histograms obtained by flow cytometry
Abstract. Twelve methods for analysing FCM‐histograms were compared using the same set of data. Some of the histograms that were analysed were simulated by computer and some were taken from… Expand
Scaling relations for logarithmic corrections.
Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to… Expand
Self-consistent scaling theory for logarithmic-correction exponents.
Multiplicative logarithmic corrections frequently characterize critical behavior in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account… Expand
Nonstandard Finite-Size Scaling at First-Order Phase Transitions
We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1/L^3 for an L x L x L lattice in 3D) is transmuted to 1/L^2 scaling if… Expand
Information geometry, one, two, three (and four)
Although the notion of entropy lies at the core of statistical mechanics, it is not often used in statistical mechanical models to characterize phase transitions, a role more usually played by… Expand
Equivalence of ferromagnetic spin models on trees and random graphs
Recently we have found identical behaviour for various spin models on `thin' random graphs - Feynman diagrams - and the corresponding Bethe lattices. In this paper we observe that the ratios of the… Expand
Exact solutions to plaquette Ising models with free and periodic boundaries
Abstract An anisotropic limit of the 3d plaquette Ising model, in which the plaquette couplings in one direction were set to zero, was solved for free boundary conditions by Suzuki (1972)  , who… Expand
Geometrothermodynamics of the Kehagias–Sfetsos black hole
The application of information geometric ideas to statistical mechanics using a metric on the space of states, as pioneered by Ruppeiner and Weinhold, has proved to be a useful alternative approach… Expand
A pilot study in humans of microneedle sensor arrays for continuous glucose monitoring
Although subcutaneously implanted continuous glucose monitoring (CGM) devices have been shown to support diabetes self-management, their uptake remains low due to a combination of high manufacturing… Expand