We report the phase coexistence properties of polarizable Stockmayer fluids of reduced permanent dipoles |m0| = 1.0 and 2.0 and reduced polarizabilities α∗ = 0.00, 0.03, and 0.06, calculated by a series of grand canonical Monte Carlo simulations with the histogram reweighting method. In the histogram reweighting method, the distributions of density and energy calculated in Grand Canonical Monte...

Using the tools of computability theory and reverse mathematics, we study the complexity of two partition theorems, the Canonical Ramsey Theorem of Erdös and Rado, and the Regressive Function Theorem of Kanamori and McAloon. Our main aim is to analyze the complexity of the solutions to computable instances of these problems in terms of the Turing degrees and the arithmetical hierarchy. We succe...

Nested Sampling (NS) is a powerful athermal statistical mechanical sampling technique that directly calculates the partition function, and hence gives access to all thermodynamic quantities in absolute terms, including absolute free energies and absolute entropies. NS has been used predominately to compute the canonical (NVT) partition function. Although NS has recently been used to obtain the ...

carcinogenesis is a multistep process characterized by the gradual accumulation of genetic changes that ultimately lead to cancer. these genetic mutations can impart limitless replicative potential to the cancer cells making them immortal. telomeres are repeat nucleotide sequence ttaggg that are present at the end of chromosomes. its functions are to protect the chromosomal ends and to ensure t...

2 Computing the Partition Function From Nested Sampling The μVT system enforces a constant chemical potential, constant volume, and constant temperature. Unlike the the canonical or isothermal-isobaric systems the μVT system is allowed to exchange particles with the external bath, i.e. the number of particles within the constant volume of our system is allowed to change. The partition function ...

We discuss the generalization of the connection between the determinant of an operator entering a quadratic form and the associated Gaussian path-integral valid for grassmann variables to the paragrassmann case [θp+1 = 0 with p = 1 (p > 1) for grassmann (paragrassamann) variables]. We show that the q-deformed commutation relations of the paragrassmann variables lead naturally to consider qdefor...

Regularized coherent-state functional integrals are derived for ensembles of identical bosons on a lattice, the regularization being discretization Euclidian time. Convergence time-continuum limit is shown various discretized actions. The focus integral representation partition function and expectation values in canonical ensemble. connection to grand-canonical integral, number differences, dis...

A general formula for the grand canonical partition function for a para Fermi system of any order and of any number of levels is derived. PACS No: 05.30.-d,03.65 Bz, 05.70 Ce

A general formula for the grand canonical partition function for a para Fermi system of any order and of any number of levels is derived. PACS No: 05.30.-d,03.65 Bz, 05.70 Ce

Statistics of distinguishable particles has become relevant in systems of colloidal particles and in the context of applications of statistical mechanics to complex networks. In this paper, we present evidence that a commonly used expression for the partition function of a system of distinguishable particles leads to huge fluctuations of the number of particles in the grand canonical ensemble a...