scholarly journals Role of mixed permutation symmetry sectors in the thermodynamic limit of critical three-level Lipkin-Meshkov-Glick atom models

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Manuel Calixto ◽  
Alberto Mayorgas ◽  
Julio Guerrero
Keyword(s):  
Thermodynamic Limit ◽  
Permutation Symmetry

scholarly journals Symmetries in subatomic multi-quark systems

2018 ◽  
Vol 27 (12) ◽  
pp. 1840003
Author(s):  
J. D. Vergados ◽  
D. Strottman
Keyword(s):  
Quantum Chromodynamics ◽  
Quark Model ◽  
Spin Symmetry ◽  
Wave Functions ◽  
Low Energy ◽  
Isospin Symmetry ◽  
Permutation Symmetry

We discus the role of Quantum Chromodynamics (QCD) in low energy phenomena involving the color-spin symmetry of the quark model. We then combine it with orbital and isospin symmetry to obtain wave functions with the proper permutation symmetry, focusing on multi-quark systems.

scholarly journals A Thermodynamic Limit on the Role of Self-Propulsion in Enhanced Enzyme Diffusion

2019 ◽  
Vol 116 (10) ◽  
pp. 1898-1906 ◽  
Author(s):  
Mudong Feng ◽  
Michael K. Gilson
Keyword(s):  
Thermodynamic Limit

On a deposition process on the circle with disorder

2004 ◽  
Vol 36 (04) ◽  
pp. 996-1020 ◽  
Author(s):  
Thierry Huillet
Keyword(s):  
Unit Circle ◽  
Thermodynamic Limit ◽  
Random Number ◽  
Deposition Process ◽  
Random Set ◽  
Number Of Clusters ◽  
One Dimensional ◽  
Deposition Processes ◽  
Occurrence Times

Throw n points sequentially and at random onto a unit circle and append a clockwise arc (or rod) of length s to each such point. The resulting random set (the free gas of rods) is a union of a random number of clusters with random sizes modelling a free deposition process on a one-dimensional substrate. A variant of this model is investigated in order to take into account the role of the disorder, θ > 0; this involves Dirichlet(θ) distributions. For such free deposition processes with disorder θ, we shall be interested in the occurrence times and probabilities, as n grows, of two specific types of configurations: those avoiding overlapping rods (the hard-rod gas) and those for which the largest gap is smaller than the rod length s (the packing gas). Special attention is paid to the thermodynamic limit when ns = ρ for some finite density ρ of points. The occurrence of parking configurations, those for which hard-rod and packing constraints are both fulfilled, is then studied. Finally, some aspects of these problems are investigated in the low-disorder limit θ ↓ 0 as n ↑ ∞ while nθ = γ > 0. Here, Poisson-Dirichlet(γ) partitions play some role.

On a deposition process on the circle with disorder

2004 ◽  
Vol 36 (4) ◽  
pp. 996-1020 ◽  
Author(s):  
Thierry Huillet
Keyword(s):  
Unit Circle ◽  
Thermodynamic Limit ◽  
Random Number ◽  
Deposition Process ◽  
Random Set ◽  
Number Of Clusters ◽  
One Dimensional ◽  
Deposition Processes ◽  
Occurrence Times

Throw n points sequentially and at random onto a unit circle and append a clockwise arc (or rod) of length s to each such point. The resulting random set (the free gas of rods) is a union of a random number of clusters with random sizes modelling a free deposition process on a one-dimensional substrate. A variant of this model is investigated in order to take into account the role of the disorder, θ > 0; this involves Dirichlet(θ) distributions. For such free deposition processes with disorder θ, we shall be interested in the occurrence times and probabilities, as n grows, of two specific types of configurations: those avoiding overlapping rods (the hard-rod gas) and those for which the largest gap is smaller than the rod length s (the packing gas). Special attention is paid to the thermodynamic limit when ns = ρ for some finite density ρ of points. The occurrence of parking configurations, those for which hard-rod and packing constraints are both fulfilled, is then studied. Finally, some aspects of these problems are investigated in the low-disorder limit θ ↓ 0 as n ↑ ∞ while nθ = γ > 0. Here, Poisson-Dirichlet(γ) partitions play some role.

scholarly journals A Thermodynamic Limit on the Role of Self-Propulsion in Enhanced Enzyme Diffusion

2018 ◽  
Author(s):  
Mudong Feng ◽  
Michael K. Gilson
Keyword(s):  
Concentration Dependence ◽  
Thermodynamic Analysis ◽  
Thermodynamic Limit ◽  
Power Dissipation ◽  
Enhanced Diffusion ◽  
Minimum Power ◽  
Propulsion Mechanism ◽  
Catalyzed Reactions ◽  
Enzyme Catalyzed Reactions

AbstractA number of enzymes reportedly exhibit enhanced diffusion in the presence of their substrates, with a Michaelis-Menten-like concentration dependence. Although no definite explanation of this phenomenon has emerged, a physical picture of enzyme self-propulsion using energy from the catalyzed reaction has been widely considered. Here, we present a kinematic and thermodynamic analysis of enzyme self-propulsion that is independent of any specific propulsion mechanism. Using this theory, along with biophysical data compiled for all enzymes so far shown to undergo enhanced diffusion, we show that the propulsion speed required to generate experimental levels of enhanced diffusion exceeds the speeds of well-known active biomolecules, such as myosin, by several orders of magnitude. Furthermore, the minimum power dissipation required to account for enzyme enhanced diffusion by self-propulsion markedly exceeds the chemical power available from enzyme-catalyzed reactions. Alternative explanations for the observation of enhanced enzyme diffusion therefore merit stronger consideration.

scholarly journals On the Role of Unitary-Symmetry for the Foundation of Probability and Time in a Realist Approach to Quantum Physics

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 737 ◽  
Author(s):  
Andreas Schlatter
Keyword(s):  
Symmetry Breaking ◽  
Quantum Physics ◽  
Thermal Time ◽  
Relativity Theory ◽  
Permutation Symmetry ◽  
Realist Approach ◽  
Unitary Symmetry ◽  
Principle Of Indifference ◽  
Time Flow

We show that probabilities in quantum physics can be derived from permutation-symmetry and the principle of indifference. We then connect unitary-symmetry to the concept of “time” and define a thermal time-flow by symmetry breaking. Finally, we discuss the coexistence of quantum physics and relativity theory by making use of the thermal time-flow.

scholarly journals An energetic model for macromolecules unfolding in stretching experiments

2013 ◽  
Vol 10 (88) ◽  
pp. 20130651 ◽  
Author(s):  
D. De Tommasi ◽  
N. Millardi ◽  
G. Puglisi ◽  
G. Saccomandi
Keyword(s):  
Atomic Force Microscopy ◽  
Thermodynamic Limit ◽  
Simple Approach ◽  
State System ◽  
Constant Force ◽  
Force Microscopy ◽  
Atomic Force ◽  
Energetic Model ◽  
Experimental Behaviour

We propose a simple approach, based on the minimization of the total (entropic plus unfolding) energy of a two-state system, to describe the unfolding of multi-domain macromolecules (proteins, silks, polysaccharides, nanopolymers). The model is fully analytical and enlightens the role of the different energetic components regulating the unfolding evolution. As an explicit example, we compare the analytical results with a titin atomic force microscopy stretch-induced unfolding experiment showing the ability of the model to quantitatively reproduce the experimental behaviour. In the thermodynamic limit, the sawtooth force–elongation unfolding curve degenerates to a constant force unfolding plateau.

Role of dactinomycin in the improved survival of children with Wilms' tumor

JAMA ◽  
1966 ◽  
Vol 195 (12) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. J. Fernbach
Keyword(s):  
Wilms Tumor
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