# Condensed Matter

## 1010 Submissions

[2] **viXra:1010.0037 [pdf]**
*submitted on 25 Oct 2010*

### On the Ability of Matter in the Aggregate to Increase Specific Heat near the Absolute Zero of Temperature: a Comment on Arxiv:1010.0259

**Authors:** Ron Bourgoin

**Comments:** 2 pages

Arxiv:1010.0259, now withdrawn, presents analysis to show
that on approach to the absolute zero of temperature, the specific
heat of matter in the aggregate, such as ultrathin wires that do not
enter the state of superconductivity, increases. There is good reason
to expect that this is true, which we will show in the present paper,
which moves us to urge that Arxiv:1010.0259 be restored.

**Category:** Condensed Matter

[1] **viXra:1010.0034 [pdf]**
*submitted on 22 Oct 2010*

### Shape Function of Directional Solidification Interface under Two-Dimensional Heat Conduction Condition

**Authors:** Lunyong Zhang, Jianfei Sun, Hongbo Zuo, Dawei Xing, Jiecai Han

**Comments:** 17 pages

The interface shape function for the pure material directional solidification system with
temperature disturbances on the heater and cooler is derived. It is approximately a fraction function
including cosine terms in the denominator and the numerator. Calculation of the function shows the interface
shape can respond to the temperature disturbance. When both the solidification rate V and the interface
cooler distance α determined by the boundary temperatures are lower than critical value deteimined by a
formula, the interface shape changes from sinusoidal wave to figures pattern with the increase of the rate or
the distance. Once the rate or the distance reaches the critical value, the interface branches at the bottom of
the grooves between figures and then the branches expand along the sidewall of the figures with further
increase of the rate or the distance. According to that, we conclude that the sinusoidal interface shape
assumption always used by the interface instability analyses is not always valid and the interface shape in
Hele-Shaw solidification experiments in fact maybe is not planar but a cellular interface with quite small
amplitude, and the role of temperature disturbance should be considered in experiments studying
solidification interface stability.

**Category:** Condensed Matter