7,817 research outputs found
Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach
The renormalized charge of a simple two-dimensional model of colloidal
suspension was determined by solving the hypernetted chain approximation and
Ornstein-Zernike equations. At the infinite dilution limit, the asymptotic
behavior of the correlations functions is used to define the effective
interactions between the components of the system and these effective
interactions were compared to those derived from the Poisson-Boltzmann theory.
The results we obtained show that, in contrast to the mean-field theory, the
renormalized charge does not saturate, but exhibits a maximum value and then
decays monotonically as the bare charge increases. The results also suggest
that beyond the counterion layer near to the macroion surface, the ionic cloud
is not a diffuse layer which can be handled by means of the linearized theory,
as the two-state model claims, but a more complex structure is settled by the
correlations between microions
Essence and Cause: Making Something Be What It Is
Aristotle frequently describes essence as a “cause” or “explanation”, thus ascribing to essence some sort of causal or explanatory role. This explanatory role is often explicated by scholars in terms of essence “making the thing be what it is” or “making it the very thing that it is”. I argue that this is problematic, at least on the assumption that “making” expresses an explanatory relation, since it violates certain formal features of explanation. I then consider whether Aristotle is vulnerable to this problem by examining the explanatory role of essence in Posterior Analytics and Metaphysics Z 17
Vevacious: A Tool For Finding The Global Minima Of One-Loop Effective Potentials With Many Scalars
Several extensions of the Standard Model of particle physics contain
additional scalars implying a more complex scalar potential compared to that of
the Standard Model. In general these potentials allow for charge and/or color
breaking minima besides the desired one with correctly broken SU(2)_L times
U(1)_Y . Even if one assumes that a metastable local minimum is realized, one
has to ensure that its lifetime exceeds that of our universe. We introduce a
new program called Vevacious which takes a generic expression for a one-loop
effective potential energy function and finds all the tree-level extrema, which
are then used as the starting points for gradient-based minimization of the
one-loop effective potential. The tunneling time from a given input vacuum to
the deepest minimum, if different from the input vacuum, can be calculated. The
parameter points are given as files in the SLHA format (though is not
restricted to supersymmetric models), and new model files can be easily
generated automatically by the Mathematica package SARAH. This code uses
HOM4PS2 to find all the minima of the tree-level potential, PyMinuit to follow
gradients to the minima of the one-loop potential, and CosmoTransitions to
calculate tunneling times.Comment: 44 pages, 1 figure, manual for publicly available software, v2
corresponds to version accepted for publication in EPJC [clearer explanation
of scale dependence and region of validity, explicit mention that SLHA files
should have blocks matching those expected by model files, updated
references
Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle
The contribution from quantum vacuum fluctuations of a real massless scalar
field to the motion of a test particle that interacts with the field in the
presence of a perfectly reflecting flat boundary is here investigated. There is
no quantum induced dispersions on the motion of the particle when it is alone
in the empty space. However, when a reflecting wall is introduced, dispersions
occur with magnitude dependent on how fast the system evolves between the two
scenarios. A possible way of implementing this process would be by means of an
idealized sudden switching, for which the transition occurs instantaneously.
Although the sudden process is a simple and mathematically convenient
idealization it brings some divergences to the results, particularly at a time
corresponding to a round trip of a light signal between the particle and the
wall. It is shown that the use of smooth switching functions, besides
regularizing such divergences, enables us to better understand the behavior of
the quantum dispersions induced on the motion of the particle. Furthermore, the
action of modifying the vacuum state of the system leads to a change in the
particle energy that depends on how fast the transition between these states is
implemented. Possible implications of these results to the similar case of an
electric charge near a perfectly conducting wall are discussed.Comment: 17 pages, 8 figure
Constraining the Natural MSSM through tunneling to color-breaking vacua at zero and non-zero temperature
We re-evaluate the constraints on the parameter space of the minimal
supersymmetric standard model from tunneling to charge- and/or color-breaking
minima, taking into account thermal corrections. We pay particular attention to
the region known as the Natural MSSM, where the masses of the scalar partners
of the top quarks are within an order of magnitude or so of the electroweak
scale. These constraints arise from the interaction between these scalar tops
and the Higgs fields, which allows the possibility of parameter points having
deep charge- and color-breaking true vacua. In addition to requiring that our
electro-weak-symmetry-breaking, yet QCD- and electromagnetism-preserving vacuum
has a sufficiently long lifetime at zero temperature, also demanding stability
against thermal tunneling further restricts the allowed parameter space.Comment: 7 pages, 2 figures, software available from
http://vevacious.hepforge.org/ - version 2 matches that accepted for
publication in Phys. Lett.
- …