Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Lammert, P. E."'
Autor:
Lammert, Paul E.
Informed by an abstraction of Kohn-Sham computation called a KS machine, a functional analytic perspective is developed on mathematical aspects of density functional theory. A natural semantics for the machine is bivariate, consisting of a sequence o
Externí odkaz:
http://arxiv.org/abs/2305.17795
Autor:
Lammert, Paul E., Crespi, Vincent H.
The cluster expansion formalism used in materials science is reconstructed on an axiomatic basis with the aims of clarifying underlying concepts and improving computational procedures, and without using conventional cluster functions. Instead, cluste
Externí odkaz:
http://arxiv.org/abs/2210.10937
Autor:
Lammert, Paul E.
A study is made, of families of Hamiltonians parameterized over open subsets of Banach spaces in a way which renders many interesting properties of eigenstates and thermal states analytic functions of the parameter. Examples of such properties are ch
Externí odkaz:
http://arxiv.org/abs/2108.10094
Autor:
Lammert, Paul E.
Publikováno v:
Phys. Rev. E 100, 052103 (2019)
The problem of eliminating fast-relaxing variables to obtain an effective drift-diffusion process in position is solved in a uniform and straightforward way for models with velocity a function jointly of position and fast variables. A more unified vi
Externí odkaz:
http://arxiv.org/abs/1905.07768
We develop a fermionic formulation of the triangular lattice Ising antiferromagnet (TIAFM) which is both calculationally convenient and intuitively appealing to imaginations steeped in conventional condensed matter physics. It is used to elucidate a
Externí odkaz:
http://arxiv.org/abs/1810.08857
A classical lattice spin model wrapped on a cylinder is profitably viewed as a chain of rings of spins. From that perspective, mutual information between ring configurations plays much the same role as spin-spin correlation functions in simpler setti
Externí odkaz:
http://arxiv.org/abs/1810.08859
Autor:
Lammert, Paul E.
A bivariate perspective on Kohn-Sham density functional theory is proposed, treating potential and density as simultaneous independent variables, and used to make fruitful connection between Lieb's rigorous foundational framework and practical Kohn-S
Externí odkaz:
http://arxiv.org/abs/1807.06125
Autor:
Nourhani, Amir, Lammert, Paul E.
We formulate a method for computing Stokes flow past a highly deformed sphere with arbitrarily defined surface velocity. The fundamental ingredient is an explicit extrapolation operator extending a velocity field from the surface of a sphere, which i
Externí odkaz:
http://arxiv.org/abs/1801.05547
Publikováno v:
Phys. Rev. E 98, 032107 (2018)
We propose an intuitively appealing formulation of the zero-temperature triangular lattice Ising antiferromagnet (TIAFM) on a cylinder as a model of noninteracting fermions hopping on a ring and evolving in imaginary time with pair annihilation event
Externí odkaz:
http://arxiv.org/abs/1709.09361
Self-powered motion in catalytic colloidal particles provides a compelling example of active matter, i.e. systems that engage in single-particle and collective behavior far from equilibrium. The long-time, long-distance behavior of such systems is of
Externí odkaz:
http://arxiv.org/abs/1704.07533