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The cluster perturbation theory (CPT) is one of the simplest but systematic quantum cluster approaches to lattice models of strongly correlated electrons with local interactions. By treating the inter-cluster potential, in addition to the…

Strongly Correlated Electrons · Physics 2011-05-27 Matthias Balzer , Michael Potthoff

Determining the steady state of an open quantum system is crucial for characterizing quantum devices and studying various physical phenomena. Often, computing a single steady state is insufficient, and it is necessary to explore its…

Quantum Physics · Physics 2026-04-09 André Melo , Gaspard Beugnot , Fabrizio Minganti

A simple model for the formation of the polymer-enzyme conjugates has been proposed and described using corresponding extension of the Wertheim's first-order thermodynamic perturbation theory (TPT1) for the system of associating chain…

Soft Condensed Matter · Physics 2025-03-12 Halyna Butovych , Yurij V. Kalyuzhnyi , Taras Patsahan , Jaroslav Ilnytskyi

First steps towards developing a new perturbation theory for molecular liquids are taken. By choosing a new form of splitting the site-site potential functions between molecules, we will get a set of atomic fluids as the reference system…

Chemical Physics · Physics 2017-11-21 Mehrdad Khanpour

We use thermodynamic perturbation theory to calculate the free energies and resulting phase diagrams of binary systems of spherical colloidal particles and interacting polymer coils in good solvent within an effective one-component…

Soft Condensed Matter · Physics 2009-11-10 B. Rotenberg , J. Dzubiella , J. -P. Hansen , A. A. Louis

In this work we extend Wertheim's thermodynamic perturbation theory (TPT) to binary mixtures (species A and species B) of patchy colloids where each species has a single patch which can bond a maximum of twice (divalent). Colloids are…

Soft Condensed Matter · Physics 2014-08-16 B. D. Marshall , W. G. Chapman

Perturbation theory (PT) might be one of the most powerful and fruitful tools for both physicists and chemists, which evoked an explosion of applications with the blooming of atomic and subatomic physics. Even though PT is well-used today,…

Quantum Physics · Physics 2023-05-16 Junxu Li , Barbara A. Jones , Sabre Kais

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

Statistical Mechanics · Physics 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

Strongly Correlated Electrons · Physics 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

The modified perturbation theory (MPT), based on direct expansion of probabilities instead of amplitudes, allows one to avoid divergences in the phase-space integrals resulting from production and decay of unstable particles. In the present…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. L. Nekrasov

Cluster perturbation theory is a technique for calculating the spectral weight of Hubbard models of strongly correlated electrons, which combines exact diagonalizations on small clusters with strong-coupling perturbation theory at leading…

Strongly Correlated Electrons · Physics 2009-11-07 D. Sénéchal , D. Pérez , D. Plouffe

Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have…

Statistical Mechanics · Physics 2015-07-13 Y. S. Cho , B. Kahng

An alternative way of utilizing the thermodynamic perturbation theory of Wertheim for the development of equations of state for associating fluid models is presented and detailed for water. The approach makes use of general features of the…

Soft Condensed Matter · Physics 2021-10-12 I. Nezbeda

Many chemical reactions can be formulated in terms of particle diffusion in a complex energy landscape. Transition path theory (TPT) is a theoretical framework for describing the direct (reaction) pathways from reactant to product states…

Statistical Mechanics · Physics 2023-10-03 Paul C Bressloff

We present second-order molecular cluster perturbation theory (MCPT(2)), a linear scaling methodology to calculate arbitrarily large systems with explicit calculation of individual wavefunctions in a coupled-cluster framework. This new…

We present the formalism of Time-dependent Exchange Perturbation Theory (TDEPT) built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among…

Quantum Physics · Physics 2015-04-13 Elena V. Orlenko , Tatiana Latychevskaia , Alexandr V. Evstafev , Fedor E. Orlenko

The recently developed Perturbed-Chain Statistical Associating Fluid Theory (PC-SAFT) is investigated for a wide range of model parameters including the parameter m representing the chain length and the thermodynamic temperature T and…

Soft Condensed Matter · Physics 2009-11-11 L. Yelash , M. Mueller , W. Paul , K. Binder

Recent advances in many-body physics have made it possible to study correlated electron systems at the two-particle level. In Dynamical Mean-Field theory, it has been shown that the metal-insulator phase diagram is closely related to the…

Strongly Correlated Electrons · Physics 2022-06-09 Erik G. C. P. van Loon

We review the literature on scaled particle theory (SPT) and its extensions and discuss results applied to describe the thermodynamics of hard particle mixtures. After explaining the basic concepts of scaled particle theory to compute the…

Soft Condensed Matter · Physics 2025-07-01 Volodymyr Shmotolokha , Jonas Maier-Borst , Mark Vis , Anja Kuhnhold , Remco Tuinier

The recently proposed Partition Theory (PT) [J.Phys.Chem.A 111, 2229 (2007)] is illustrated on a simple one-dimensional model of a heteronuclear diatomic molecule. It is shown that a sharp definition for the charge of molecular fragments…

Other Condensed Matter · Physics 2016-09-28 Morrel H. Cohen , Adam Wasserman , Roberto Car , Kieron Burke
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